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Quantum-Enhanced Training Of Large Language Models: A Hybrid Approach, Nan Wu, Fangmin Song, Xiangdong Li May 2025

Quantum-Enhanced Training Of Large Language Models: A Hybrid Approach, Nan Wu, Fangmin Song, Xiangdong Li

Publications and Research

The training of large language models (LLMs) presents significant computational challenges, particularly regarding efficient convergence. This paper presents a hybrid quantum-classical framework designed to address the significant computational challenges associated with training large language models (LLMs). By integrating quantum computing principles superposition, entanglement, and tunneling with classical deep learning methods, we propose an approach to accelerate convergence, enhance optimization efficiency, and improve model generalization. Specifically, quantum feature mapping is employed to project classical data into high-dimensional Hilbert spaces, facilitating more expressive data representations. Quantum-assisted optimization algorithms, such as Quantum Approximate Optimization Algorithm (QAOA) and Variational Quantum Eigensolver (VQE), efficiently navigate …


Geospatial Intelligence And Multi-Criteria Analysis For Mapping Groundwater Potential Zones And Sustainable Resource Management In Wadi Qena Basin, Eastern Desert, Egypt, El-Taher M. M. Shams, Rashad Sawires, Sahar N. E. Tawfiq, Hanaa R. Youssef, Wenzhao Li, Hesham El-Askary May 2025

Geospatial Intelligence And Multi-Criteria Analysis For Mapping Groundwater Potential Zones And Sustainable Resource Management In Wadi Qena Basin, Eastern Desert, Egypt, El-Taher M. M. Shams, Rashad Sawires, Sahar N. E. Tawfiq, Hanaa R. Youssef, Wenzhao Li, Hesham El-Askary

Mathematics, Physics, and Computer Science Faculty Articles and Research

Groundwater is a rare and valuable resource in arid and hyperarid areas. Over the past few decades, population growth, urbanization, and agricultural activities—particularly in developing countries like Egypt—have greatly increased the demand for water supplies. The purpose of this study is to apply a multi-criteria analytical hierarchy process (AHP) in conjunction with remote sensing and geographic information systems methodologies to identify potential zones for groundwater recharge in Wadi Qena, Eastern Desert of Egypt. This valley is considered as one of the most potential valleys for government-led land reclamation and development initiatives. Using several data sources (e.g., Landsat-8 Enhanced Thematic Mapper …


Upward Mobility Of First-Generation Low-Income Dartmouth Students, Robin T. Frye May 2025

Upward Mobility Of First-Generation Low-Income Dartmouth Students, Robin T. Frye

Dartmouth College Master’s Theses

The most promising way for young people to achieve upward mobility, which at the most basic level means making more money than their parents, is to attend the best college possible. From its inception, Dartmouth College has been an institution set up to educate the children of the wealthiest and most powerful families. Over the last few decades, more and more promising students have come from families whose parents and grandparents did not attend college. When First-Generation Low-Income (FGLI) students arrive at Dartmouth, they encounter an institution set up for wealthy students. I aimed to discover how well Dartmouth supports …


Preschool Teachers’ Perspectives Regarding Independent Play As Part Of Their Daily Schedule, Christina L. Saunders May 2025

Preschool Teachers’ Perspectives Regarding Independent Play As Part Of Their Daily Schedule, Christina L. Saunders

Walden Dissertations and Doctoral Studies

Research shows that independent child-led play is essential to children’s cognitive and social development. The problem that was the focus of this study was that many preschool teachers do not include independent play in their daily schedules. Guided by Gray’s theory of play, the purpose of this qualitative study was to explore preschool teachers’ perspectives regarding independent play as part of their daily schedule and the challenges they encounter or anticipate in incorporating it. A basic qualitative design with interviews guided data collection with 10 lead preschool teachers who worked with children ages 3 to 5 in independently funded preschools …


Teaching Hygiene Skills To Teenagers With Developmental Disabilities Utilizing Friendship Circles, Nathaniel Medsker May 2025

Teaching Hygiene Skills To Teenagers With Developmental Disabilities Utilizing Friendship Circles, Nathaniel Medsker

Theses and Dissertations

High school students with intellectual and developmental disabilities (IDD) often struggle with hygiene skills, including table manners. These difficulties are especially noticeable in peer tutoring settings. Peer tutors were utilized to increase the mouth wiping behavior of the students with IDD using peer influence through the friendship circles intervention. The participants included high school age students with IDD and accompanying peer tutors from their classroom. This was done in a social setting during lunch while the peer tutors modeled the appropriate mouth wiping behavior and complimented the students with IDD if they also participated in the mouth wiping behavior. The …


Liberated Education: Sustainable Paradigms And Pathways For Black And Latino Communities Beyond Formal Education, Stephanie C. Bennett May 2025

Liberated Education: Sustainable Paradigms And Pathways For Black And Latino Communities Beyond Formal Education, Stephanie C. Bennett

Theses and Dissertations from DePaul University

As the innovation and educational entrepreneurship sparked by the global pandemic continues to reshape the educational ecosystem, communities are left questioning how to manage and sustain new programs. This dissertation investigates the sustainability strategies employed by founders of liberated educational programs that operate outside the formal school system. These programs are specifically designed to provide educational alternatives for Black and Latino communities in the United States. Using a qualitative, multiple case study approach, this study draws data from interviews with four program founders, program handbooks, website analysis, analytic memos, and virtual tours. The application of Bronfenbrenner’s Process-Person-Context-Time (PPCT) model guided …


Playing With Fire: California Homeowners Risk High Insurance Costs Or Losing Homes To Climate Change Disasters, Emily Serleth May 2025

Playing With Fire: California Homeowners Risk High Insurance Costs Or Losing Homes To Climate Change Disasters, Emily Serleth

San Diego Journal of Climate & Energy Law

California should continue to further the policy of protecting generational homeowners’ right to their property. To do this, insurance rates should be set in a way that avoids unfair premium increases that violate Proposition 103 and unfairly burden consumers. Utilizing CAT models will increase the cost of home insurance premiums due to overestimations of risk, enable bias on the part of insurance companies, and promote a lack of public scrutiny for insurance rates. This creates a confiscatory rate, which violates Proposition 103 and the California Constitution.

Generational homeowners should not be forced to adopt the FAIR plan just to maintain …


On The Development And Application Of Short Design Events For The Prediction Of Extreme Responses Of Floating Offshore Wind Turbines, T. Tosdevin, S. Brown, F. Fàbregas Flavià, M. Hann, D. Simmonds, R. Rawlinson-Smith, R. Wigg, D. Greaves May 2025

On The Development And Application Of Short Design Events For The Prediction Of Extreme Responses Of Floating Offshore Wind Turbines, T. Tosdevin, S. Brown, F. Fàbregas Flavià, M. Hann, D. Simmonds, R. Rawlinson-Smith, R. Wigg, D. Greaves

School of Engineering, Computing and Mathematics

For the prediction of design loads of floating wind turbines in extreme sea states, design standards recommend simulating multiple irregular wave and turbulent wind time series of one to three hour duration. For fixed offshore wind turbines, a constrained wave approach with 10-min simulations is permitted, significantly reducing simulation times. This method is not recommended for floating turbines as the largest wave does not always cause the largest response of interest. This work seeks to develop a response-conditioned, short design event approach to create an equivalent constrained wave method for floating turbines. The responses of spar, semi-submersible, tension leg platform, …


The Witten Deformation And Proper Cocompact Lie Group Actions, Hao Zhuang May 2025

The Witten Deformation And Proper Cocompact Lie Group Actions, Hao Zhuang

Arts & Sciences Graduate Student Theses and Dissertations

We study the interactions between the Witten deformation of the de Rham exterior differentiation and topological invariants in two scenarios of proper Lie group actions. In the first scenario, we work on a closed oriented manifold admitting an action by a compact connected Lie group. Using a special Morse-Bott function invariant under the group action, we deform the de Rham exterior derivative and get the associated Witten Laplacian. Applying asymptotic analysis, we localize the kernel of the Witten Laplacian around the critical components of the invariant Morse-Bott function. Finally, we build the chain isomorphism between the invariant Thom-Smale complex and …


Machine Learning For Preeclampsia Prediction: Enhancing Screening In Primary Health Care, Dwirani Amelia, Asri Adisasmita, Kemal N. Siregar, Detty Siti Nurdiati May 2025

Machine Learning For Preeclampsia Prediction: Enhancing Screening In Primary Health Care, Dwirani Amelia, Asri Adisasmita, Kemal N. Siregar, Detty Siti Nurdiati

Kesmas

Preeclampsia is a leading cause of maternal morbidity and mortality worldwide, with early detection being critical for reducing adverse outcomes. This study aimed to develop a machine learning model for predicting the risk of preeclampsia using readily available maternal characteristics such as body mass index, mean arterial pressure, and clinical history of hypertension or diabetes mellitus. Secondary data from 2,250 pregnancies were analyzed, addressing challenges such as missing data and class imbalance through preprocessing. Various algorithms, including support vector machines, random forest, and logistic regression, were evaluated. Herein, a support vector machines model with threshold adjustment showed the best performance, …


Interfacial Phenomena Of Plastics: From Surface Modifications To Environmental Impacts, Kennedy Guillot May 2025

Interfacial Phenomena Of Plastics: From Surface Modifications To Environmental Impacts, Kennedy Guillot

LSU Doctoral Dissertations

Plastic is a ubiquitous part of everyday life since its introduction in the previous century. Global production continues to exponentially increase, establishing plastics as one of the most dominant materials in modern manufacturing. Within the scope of academia, plastic is essential due to its low cost and sterility, particularly for minimizing contamination. Beyond the laboratory, plastic use spans numerous industries, and its use and disposal has since raised many environmental concerns. Once valued for its durability, plastics now pollute the environment in landfills and natural ecosystems. In recent decades, the consequences of this pollution have been investigated, yet the full …


Bridging The Gap: College Readiness And The Influence Of School Leadership, Sharonda Pruitt, Sharon Ross, Stephanie Atchley, Jesse Brock May 2025

Bridging The Gap: College Readiness And The Influence Of School Leadership, Sharonda Pruitt, Sharon Ross, Stephanie Atchley, Jesse Brock

School Leadership Review

This quantitative study examined the relationship between school leadership experience and African American students’ completion of Texas Education Agency-approved college readiness courses. Using 2021–2022 data from the Texas Academic Performance Report (TAPR) in Region 7, the study analyzed average years of experience for principals and assistant principals across high schools. Pearson correlation analysis, with Holm correction and effect size calculations, was used to explore potential relationships. Results showed no significant correlation between principal experience and course completion, but a statistically significant positive correlation was found for assistant principal experience (r = .26, p = .034), indicating a small effect size. …


From Theory To Practice: How Job-Embedded Professional Learning Labs Support Implementation And Application, Megan Kortlandt, Samantha Keesling, Asha Williams, Jay Haffner May 2025

From Theory To Practice: How Job-Embedded Professional Learning Labs Support Implementation And Application, Megan Kortlandt, Samantha Keesling, Asha Williams, Jay Haffner

Michigan Reading Journal

Educators in any role know that supporting application of new learning is critical. Classroom teachers ground their instruction in the gradual release of responsibility, problem-based learning, and other frameworks that support students in taking on new learning themselves. Similarly, it’s long been understood that, in order for professional learning to be effective for adults, it must support educators in transferring new learning to practice (Darling-Hammond et al, 2017). Yet most professional learning frameworks still involve large groups that often take place in settings removed from the students and settings where educators apply the learning. Though they may ask participants to …


Using Picturebooks To Promote Student Inquiry, Inferential Thinking, And Reading Comprehension In A 9th Grade Ela Classroom, William P. Bintz May 2025

Using Picturebooks To Promote Student Inquiry, Inferential Thinking, And Reading Comprehension In A 9th Grade Ela Classroom, William P. Bintz

Michigan Reading Journal

This article reports findings from a classroom-based, action research project that used one award-winning picturebook to promote student inquiry, inferential thinking, and reading comprehension in a 9th grade English/Language Arts classroom. It begins by describing a read-aloud experience that sparked my interest in developing and implementing an action research project, followed by an overview of action research as a research methodology. Next, it shares samples of work that resulted from students using three interrelated, instructional strategies with the picturebook to promote inquiry, inferential thinking, and reading comprehension. Then, it discusses major findings and implications and ends with concluding thoughts.


Full Issue: Volume 57, No. 3 May 2025

Full Issue: Volume 57, No. 3

Michigan Reading Journal

No abstract provided.


Codelympics: An Educational Game, Shreyas Raghunath, Riley Guioguio May 2025

Codelympics: An Educational Game, Shreyas Raghunath, Riley Guioguio

Computer Science and Engineering Senior Theses

This thesis addresses the growth of Computer Science and the increasing demand for resources that educate people about programming. The central problem is that existing resources either fall short in engaging the user, or are ineffective at communicating the basics of programming. Through a year of development and testing, we developed an application to serve as a bridge between games and educational content, making programming skills fun and accessible for younger students with no prior experience.

This thesis details the development of Codelympics, an educational game designed to teach the basics of computer programming, including control flow, functions, variables, and …


Plm-Dbps: Enhancing Plant Dna-Binding Protein Prediction By Integrating Sequence-Based And Structure-Aware Protein Language Models, Suresh Pokharel, Kepha Barasa, Pawel Pratyush, Dukka B. Kc May 2025

Plm-Dbps: Enhancing Plant Dna-Binding Protein Prediction By Integrating Sequence-Based And Structure-Aware Protein Language Models, Suresh Pokharel, Kepha Barasa, Pawel Pratyush, Dukka B. Kc

Michigan Tech Publications

DNA-binding proteins (DBPs) play a crucial role in gene regulation, development, and environmental responses across plants, animals, and microorganisms. Existing DBP prediction methods are largely limited to sequence information, whether through handcrafted features or sequence-based protein language models (PLMs), overlooking structural cues critical to protein function. In addition, most existing tools are trained for general DBP predictions, which are often not accurate for plant-specific DBPs due to the unique structural and functional properties of plant proteins. Our work introduces PLM-DBPs, a deep learning framework that integrates both sequence-based and structure-aware representations to enhance DBP prediction in plants. We evaluated several …


Advanced Machine Learning Techniques For Social Support Detection On Social Media, Olga Kolesnikova, Moein Shahiki Tash, Zahra Ahani, Ameeta Agrawal, Raúl Monroy, Grigori Sidorov May 2025

Advanced Machine Learning Techniques For Social Support Detection On Social Media, Olga Kolesnikova, Moein Shahiki Tash, Zahra Ahani, Ameeta Agrawal, Raúl Monroy, Grigori Sidorov

Computer Science Faculty Publications and Presentations

The widespread use of social media highlights the need to understand its impact, particularly the role of online social support. In this study, we present a dataset of YouTube comments, initially comprising 66,272 entries, which was refined to 42,695, with a subset of 10,000 comments selected for detailed analysis without additional filtering. The dataset is annotated for three classification tasks: (1) distinguishing supportive from non-supportive comments, (2) determining whether the support is directed at an individual or a group, and (3) further categorizing group support into six subtypes (Nation, LGBTQ, Black Community, Women, Religion, and Other). To address data imbalances …


Near-Earth Object (Neo) Surveyor Introduction “Neos”, Brent Carlsen May 2025

Near-Earth Object (Neo) Surveyor Introduction “Neos”, Brent Carlsen

Space Dynamics Laboratory Publications

NEOS

- Near-Earth Object Surveyor (NEOS)

- Its Mission

- Its Importance

- How it’s built

- What you will see today

  • Where piece parts were made
  • Where it will be assembled
  • Where it will be tested


Spectator 2025-05-29, Editors Of The Spectator May 2025

Spectator 2025-05-29, Editors Of The Spectator

The Spectator

No abstract provided.


Photojournalism In The Age Of Deepfakes: The Role Of Media Literacy And Ethical Standards In Restoring Trust In Visual Reporting, Ionnnis Kontos, Katerina Chryssanthopoulou, Ioannis Galanopoulos-Papavasileiou May 2025

Photojournalism In The Age Of Deepfakes: The Role Of Media Literacy And Ethical Standards In Restoring Trust In Visual Reporting, Ionnnis Kontos, Katerina Chryssanthopoulou, Ioannis Galanopoulos-Papavasileiou

All Works

This article explores the impact of deepfake technology on photojournalism, highlighting its role in undermining trust in visual media. As deepfakes allow for the creation of highly realistic manipulated content, they pose significant challenges regarding the authenticity of journalistic imagery and erode the authority of visual truthfulness. The widespread use of deepfakes has led to a decline in public confidence in the credibility of news, raising concerns about the future of photojournalism in an era of digital deception. As a solution to regaining viewers’ trust, this article suggests a twofold approach: First, it emphasizes the importance of media literacy in …


Identifying Antimalarials That Disrupt Malaria Parasite Transmission When Fed To The Mosquito, Sarah N. Farrell, Anton Cozijnsen, Vanessa Mollard, Papireddy Kancharla, Rozalia A. Dodean, Jane X. Kelly, Geoffrey I. Mcfadden, Christopher D. Goodman May 2025

Identifying Antimalarials That Disrupt Malaria Parasite Transmission When Fed To The Mosquito, Sarah N. Farrell, Anton Cozijnsen, Vanessa Mollard, Papireddy Kancharla, Rozalia A. Dodean, Jane X. Kelly, Geoffrey I. Mcfadden, Christopher D. Goodman

Chemistry Faculty Publications and Presentations

A decade-long decline in malaria cases has plateaued, primarily due to parasite drug resistance and mosquito resistance to insecticides used in bed nets and indoor residual spraying. Here, we explore the innovative control strategy targeting Plasmodium with antimalarials during the mosquito stages. This strategy has the potential to reduce the risk of resistance emerging because a relatively small population of parasites within the mosquito is subject to selection. After validating mosquito feeding strategies, we screened a range of parasiticidal compounds by feeding them to mosquitoes already infected with mouse malaria (P. berghei). Three antimalarials showed activity against P. berghei in …


Leveraging Artificial Intelligence (Ai) To Strengthen Mtss Within Catholic Schools, Kaitlin Reichart, Adam B. Lockwood, Jessica Pizzute May 2025

Leveraging Artificial Intelligence (Ai) To Strengthen Mtss Within Catholic Schools, Kaitlin Reichart, Adam B. Lockwood, Jessica Pizzute

Education: School of Education Faculty Publications and Other Works

Many Catholic schools face resource challenges that result in limitations surrounding the implementation of multi-tiered systems and support (MTSS). Artificial Intelligence (AI) offers a potential tool for Catholic schools to strengthen systems of support. This article explores how AI can strengthen core components of MTSS such as identifying evidence-based interventions, developing progress monitoring tools, analyzing student data, and facilitating personalized instruction. The article also outlines different AI tools available to schools and discusses potential benefits and challenges of leveraging AI within Catholic schools. Future researchers should consider evaluating and analyzing implementation of AI tools within MTSS, specifically how AI tools …


Strongly Confined Bi2se3 Quantum Dots Via Pulsed Laser Ablation In Liquids, Gregory Guisbiers, Rajendra Subedi, Burningham Burningham, Francisco Francisco Ruiz-Zepeda, Qiaohui Zhou, Xin Lu May 2025

Strongly Confined Bi2se3 Quantum Dots Via Pulsed Laser Ablation In Liquids, Gregory Guisbiers, Rajendra Subedi, Burningham Burningham, Francisco Francisco Ruiz-Zepeda, Qiaohui Zhou, Xin Lu

Faculty Scholarship

Bismuth selenide (Bi2Se3) is a binary compound displaying a strong spin−orbit coupling, resulting in a narrow bulk bandgap material with a gapless metallic surface. By shrinking the size of Bi2Se3 within the strong confinement regime, its optoelectronic properties changed drastically. To achieve this goal, strongly confined Bi2Se3 quantum dots (QDs) were produced by pulsed laser ablation in liquids (PLAL). The laser used for the synthesis was a nanosecond Nd/YAG laser emitting at 1064 nm and pulsing at ∼13 mJ/pulse. The irradiation of the bulk target was performed at 1 kHz in acetone and lasted 5 min. Finally, the Bi2Se3 QDs …


Artificial Intelligence Use In Medical Education: Best Practices And Future Directions, Rasheed A. M. Thompson, Yash B. Shah, Francisco Aguirre, Courtney Stewart, Costas D. Lallas, Mihir S. Shah May 2025

Artificial Intelligence Use In Medical Education: Best Practices And Future Directions, Rasheed A. M. Thompson, Yash B. Shah, Francisco Aguirre, Courtney Stewart, Costas D. Lallas, Mihir S. Shah

Department of Urology Faculty Papers

PURPOSEOF REVIEW: This review examines the various ways artificial intelligence (AI) has been utilized in medical education (MedEd)and presents ideas that will ethically and effectively leverage AI in enhancing the learning experience of medical trainees.

RECENT FINDINGS: AI has improved accessibility to learning material in a manner that engages the wider population. It has utility as a reference tool and can assist academic writing by generating outlines, summaries and identifying relevant reference articles. As AI is increasingly integrated into MedEd and practice, its regulation should become a priority to prevent drawbacks to the education of trainees. By involving physicians in …


Understanding The Impact Of Employee Investigations On Those Who Lead Them: A Case Study From Nhs Wales, Andrew Jonathan Cooper, Doris Anita Behrens, Sophie Elizabeth Jones, Adrian Neal, Aled Jones, Walter Hyll May 2025

Understanding The Impact Of Employee Investigations On Those Who Lead Them: A Case Study From Nhs Wales, Andrew Jonathan Cooper, Doris Anita Behrens, Sophie Elizabeth Jones, Adrian Neal, Aled Jones, Walter Hyll

School of Nursing and Midwifery

In healthcare, there is growing awareness of the potential harm that disciplinary processes can have on employees, service delivery, and organizational culture. However, little attention has been given to the impact on those responsible for conducting these investigations. This study examines investigator harm through a cross-sectional survey, simultaneously collecting qualitative and quantitative data from 71 participants across 10 NHS Wales organizations. The findings indicate that investigators experience harm when conducting employee investigations. While those with more experience perceive themselves as better prepared to follow the formal steps of the disciplinary policy and process, their ability to prevent harm to themselves …


Long-Term Neurocognitive And Behavioral Outcomes In Survivors Of Pediatric Brain Tumors: A Systematic Review, Tirath Patel, Pulkit Johar, Vaishnavi Kanisetti, Megan Szobody, Tori Sayers, Sriya Gullapalli, Murali Yallapu, Mushfiq Hassan Shaikh, Nikhilesh Anand, Kelsey Baker, Bharathi Gadad May 2025

Long-Term Neurocognitive And Behavioral Outcomes In Survivors Of Pediatric Brain Tumors: A Systematic Review, Tirath Patel, Pulkit Johar, Vaishnavi Kanisetti, Megan Szobody, Tori Sayers, Sriya Gullapalli, Murali Yallapu, Mushfiq Hassan Shaikh, Nikhilesh Anand, Kelsey Baker, Bharathi Gadad

School of Medicine Publications

Background: Brain tumors are among the most common neoplasms in children. These patients suffer from neurocognitive impairment, treatment-related side effects, and experience a subpar quality of life (QoL), affecting academic endeavors, social interaction, and mental wellbeing.

Methods: This review investigated different long-term neurocognitive and behavioral outcomes in pediatric brain tumor survivors and evaluated various effective treatment methods. We identified 75 relevant articles published between 2019 and 2024 using PubMed, PMC, Embase, and Google Scholar databases. Duplicates were removed, and 14 studies were finally selected following the PRISMA guidelines. Initial observations noted significant variations in the study methodologies and inclusion criteria. …


Lower Bounds For The Total Distance $K$-Domination Number Of A Graph, Randy R. Davila May 2025

Lower Bounds For The Total Distance $K$-Domination Number Of A Graph, Randy R. Davila

Theory & Applications of Graphs

For $k \geq 1$ and a graph $G$ without isolated vertices, a \emph{total distance $k$-dominating set} of $G$ is a set of vertices $S \subseteq V(G)$ such that every vertex in $G$ is within distance $k$ to some vertex of $S$ other than itself. The \emph{total distance $k$-domination number} of $G$ is the minimum cardinality of a total $k$-dominating set in $G$ and is denoted by $\gamma_{k}^t(G)$. When $k=1$, the total $k$-domination number reduces to the \emph{total domination number}, written $\gamma_t(G)$; that is, $\gamma_t(G) = \gamma_{1}^t(G)$. This paper shows that several known lower bounds on the total domination number generalize …


The Integer-Antimagic Spectra Of A Weak Join Of Hamiltonian Graphs, Ugur Odabasi, Dan Roberts, Richard M. Low May 2025

The Integer-Antimagic Spectra Of A Weak Join Of Hamiltonian Graphs, Ugur Odabasi, Dan Roberts, Richard M. Low

Theory & Applications of Graphs

A simple graph $G$ with vertex set $V(G)$ and edge set $E(G)$ is \emph{$\mathbb{Z}_{k}$-antimagic} if there exists a function $f: E(G) \to \mathbb{Z}_{k} \backslash \{0\}$ such that the induced function $f^+(v)=\sum_{uv\in E(G)} f(uv)$ is injective. The \textit{integer-antimagic spectrum} of a graph $G$ is the set IAM$(G) = \{k: G \textnormal{ is } \mathbb{Z}_k\textnormal{-antimagic and } k \geq 2\}$. A \emph{weak join} of vertex-disjoint graphs is the collection of the graphs with additional simple edges (possibly none) between the original graphs. In this paper, we characterize IAM$(H)$ where $H$ is a weak join of Hamiltonian graphs.


Prime Labelings On A 3xn Grid Graph, Stephen J. Curran, Matt A. Ollis May 2025

Prime Labelings On A 3xn Grid Graph, Stephen J. Curran, Matt A. Ollis

Theory & Applications of Graphs

It is conjectured that the mxn grid graph has a prime labeling for all positive integers m and n. It is known that for any prime p and any integer n such that 1≤n≤p2, there exists a prime labeling on the pxn grid graph Pm x Pn. Also, it is known that the ladder P2 x Pn has a prime labeling for all positive integers n. We assume that Goldbach's Even Conjecture and a strengthened variant of Lemoine's Conjecture are true in order to show that the 3xn grid graph P …