Tight Bounds For The N2-Chromatic Number Of Graphs,
2024
National University
Tight Bounds For The N2-Chromatic Number Of Graphs, Arnold Eniego, Ian June L. Garces, Jose Rosario
Mathematics Faculty Publications
Let G be a connected graph. A vertex coloring of G is an N2-vertex coloring if, for every vertex v, the number of different colors assigned to the vertices adjacent to v is at most two. The N2-chromatic number of G is the maximum number of colors that can be used in an N2vertex coloring of G. In this paper, we establish tight bounds for the N2-chromatic number of a graph in terms of its maximum degree and its diameter, and characterize those graphs that attain these bounds.
Parameterized Algorithm For The Poset Cover Problem,
2024
University of the Philippines Diliman, College of Engineering
Parameterized Algorithm For The Poset Cover Problem, Ivy D. Ordanel, Proceso L. Fernandez, Richelle Ann B. Juayong, Jhoirene B. Clemente, Henry N. Adorna
Department of Information Systems & Computer Science Faculty Publications
It is already known that the 1-Poset and 2-Poset Cover Problems are in P. In this paper, we extended the previous results and devised an algorithm for the k-Poset Cover Problem, for any k number of posets that cover the input. The algorithm runs in O(m2k n2), where m and n are the input size. With this running time, we can say that the problem belongs to XP (slicewise polynomial). The algorithm runs efficiently for small fixed k but runs exponentially for large k. While the algorithm running time has yet not to be efficient for large k, we have …
An Overview Of The Second-Previous Memory Effect In The Strictlyalternating Donation Game,
2024
The British University in Egypt
An Overview Of The Second-Previous Memory Effect In The Strictlyalternating Donation Game, Mohamed Zayet, Essam El-Seidy, Amira Abdel-Malek, Aya Rabie
Basic Science Engineering
Game theory delves into the examination of strategic behaviour across diverse domains such as insurance, business, military, biology, andmore,with the aim of deriving optimal decisions. Recent research focusing on the alteration of memory in the donation game with simultaneous iterated rounds has spurred our interest in investigating this phenomenon within the realm of the strictly alternating donation game. This study proposes a novel decision-making approach, utilising the previous unit instead of the most recent one. Thescopenarrowsdownto16employedstrategies,each definedbyfinitetwo-stateautomata,whileaccountingforpotentialimplementationerrorsinthe computationofstrategypayoffs.Dominant strategies are determined by assessing the interaction payoffs among strategy pairs. This article centres on the calculation of equilibrium points among heteroclinic …
Modifed Playfair For Text File Encryption And Meticulous Decryption With Arbitrary Fillers By Septenary Quadrate Pattern,
2024
Molloy University
Modifed Playfair For Text File Encryption And Meticulous Decryption With Arbitrary Fillers By Septenary Quadrate Pattern, N. Sugirtham, R. Sherine Jenny, B. Thiyaneswaran, S. Kumarganesh, C. Venkatesan, K. Martin Sagayam, Lam Dang, Linh Dinh, Helen Dang
Mathematics and Computer Studies: Faculty Publications
Cryptography secures data and serves to ensure the confidentiality of records. Playfair is a cryptographic symmetrical algorithm that encrypts statistics based on key costs. This secret is shared with an authorized person to retrieve data. In the conventional pattern, there is an area complexity and deficiency in letters, numbers, and special characters. This hassle has been overcome in previous studies by editing pattern dimensions. The fillers used throughout the enciphering were not eliminated during the retrieval process, which resulted in the indiscrimination of the retrieved statistics. The proposed method uses a separate quadrate pattern that strengthens the Playfair cipher and …
New Effective Transformational Computational Methods,
2024
University of Maryland Eastern Shore
New Effective Transformational Computational Methods, Jun Zhang, Ruzong Fan, Fangyang Shen, Junyi Tu
Publications and Research
Mathematics serves as a fundamental intelligent theoretic basis for computation, and mathematical analysis is very useful to develop computational methods to solve various problems in science and engineering. Integral transforms such as Laplace Transform have been playing an important role in computational methods. In this paper, we will introduce Sumudu Transform in a new computational approach, in which effective computational methods will be developed and implemented. Such computational methods are straightforward to understand, but powerful to incorporate into computational science to solve different problems automatically. We will provide computational analysis and essentiality by surveying and summarizing some related recent works, …
New Algorithmic Support For The Fundamental Theorem Of Algebra,
2024
CUNY Graduate Center
New Algorithmic Support For The Fundamental Theorem Of Algebra, Vitaly Zaderman
Dissertations, Theses, and Capstone Projects
Univariate polynomial root-finding is a venerated subjects of Mathematics and Computational Mathematics studied for four millenia. In 1924 Herman Weyl published a seminal root-finder and called it an algorithmic proof of the Fundamental Theorem of Algebra. Steve Smale in 1981 and Arnold Schonhage in 1982 proposed to classify such algorithmic proofs in terms of their computational complexity. This prompted extensive research in 1980s and 1990s, culminated in a divide-and-conquer polynomial root-finder by Victor Pan at ACM STOC 1995, which used a near optimal number of bit-operations. The algorithm approximates all roots of a polynomial p almost as fast as one …
Low Shear In Short-Term Impacts Endothelial Cell Traction And Alignment In Long-Term,
2024
Michigan Technological University
Low Shear In Short-Term Impacts Endothelial Cell Traction And Alignment In Long-Term, Mohanish Chandurkar, Nikhil Mittal, Shaina P. Royer-Weeden, Steven D. Lehmann, Yeonwoo Rho, Sangyoon J. Han
Michigan Tech Publications
Within the vascular system, endothelial cells (ECs) are exposed to fluid shear stress (FSS), a mechanical force exerted by blood flow that is critical for regulating cellular tension and maintaining vascular homeostasis. The way ECs react to FSS varies significantly; while high, laminar FSS supports vasodilation and suppresses inflammation, low or disturbed FSS can lead to endothelial dysfunction and increase the risk of cardiovascular diseases. Yet, the adaptation of ECs to dynamically varying FSS remains poorly understood. This study focuses on the dynamic responses of ECs to brief periods of low FSS, examining its impact on endothelial traction-a measure of …
Low Shear In Short-Term Impacts Endothelial Cell Traction And Alignment In Long-Term,
2024
Michigan Technological University
Low Shear In Short-Term Impacts Endothelial Cell Traction And Alignment In Long-Term, Mohanish K. Chandurkar, Nikhil Mittal, Shaina P. Royer-Weeden, Steven D. Lehmann, Yeonwoo Rho, Sangyoon J. Han
Michigan Tech Publications
Within the vascular system, endothelial cells (ECs) are exposed to fluid shear stress (FSS), a mechanical force exerted by blood flow that is critical for regulating cellular tension and maintaining vascular homeostasis. The way ECs react to FSS varies significantly; while high, laminar FSS supports vasodilation and suppresses inflammation, low or disturbed FSS can lead to endothelial dysfunction and increase the risk of cardiovascular diseases. Yet, the adaptation of ECs to dynamically varying FSS remains poorly understood. This study focuses on the dynamic responses of ECs to brief periods of low FSS, examining its impact on endothelial traction—a measure of …
Automorphisms: New Cars For 2024,
2024
University of Michigan-Dearborn
Automorphisms: New Cars For 2024, Jane P. Sheldon
Journal of Humanistic Mathematics
This review of new cars for 2024 demonstrates total variation.
Mathematical Relationships,
2024
Western Connecticut State University
Mathematical Relationships, David Sheskin
Journal of Humanistic Mathematics
A digital collage depicting the mathematics of interpersonal relationships.
Hypatia's Math: A Play,
2024
Wofford College
Hypatia's Math: A Play, Daniel S. Helman
Journal of Humanistic Mathematics
Hypatia of Alexandria was the most famous woman mathematician of antiquity, and her story is as relevant now as it was in her day. This play tells her story. While the events in the play are based closely on extant historical texts, inspiring excerpts from classical works by Porphyry, Plotinus, Aristotle and Plato are woven into the action to further the plot and add to the classical mood. Dance and music, including an Homeric hymn, add to the artistic texture.
The Free Numbers,
2024
n/a
The Free Numbers, Jessica Greenbaum
Journal of Humanistic Mathematics
No abstract provided.
Persistence: A Romance In Many Dimensions,
2024
Bradley University
Persistence: A Romance In Many Dimensions, Tony Bedenikovic
Journal of Humanistic Mathematics
This is a short poem which is inspired by Edwin Abbott's Flatland. The poem follows the narrator through a typical day with a focus on the individual's persistence in the face of nature's brawn and magnitude.
The Point At Infinity,
2024
Adelphi University
The Point At Infinity, Josh Hiller
Journal of Humanistic Mathematics
A poem about the longing for parallel lines to meet.
The Conviction Of Miss Prediction,
2024
George Fox University
The Conviction Of Miss Prediction, Dane C. Joseph
Journal of Humanistic Mathematics
Miss Prediction is questioned in a court of law over her involvement in the mischaracterization of linear models when they were inappropriate.
Pied Beauty,
2024
Rhodes University
Pied Beauty, Pamela Vale
Journal of Humanistic Mathematics
This is a shape poem about the beauty of mathematics formed with the lines containing the number of words corresponding to the digits in pi (to 26 places).
Variations On A Meme: Thoughts And Responses To Isaac Elishakoff’S “Differential Equations Of Love And Love Of Differential Equations",
2024
Yuba Gardens Intermediate School
Variations On A Meme: Thoughts And Responses To Isaac Elishakoff’S “Differential Equations Of Love And Love Of Differential Equations", Jonathan Kinsman
Journal of Humanistic Mathematics
This folder contains reflections and three poems written in response to Isaac Elishakoff’s JHM article “Differential Equations of Love and Love of Differential Equations" (July 2019).
A Personal And Multicultural Journey Through The World Of Games (With A Little Math) Or Book Review: Around The World In Eighty Games, By Marcus Du Sautoy,
2024
Gordon College
A Personal And Multicultural Journey Through The World Of Games (With A Little Math) Or Book Review: Around The World In Eighty Games, By Marcus Du Sautoy, Karl-Dieter Crisman
Journal of Humanistic Mathematics
Author and number theorist Marcus Du Sautoy has written a book about games, including a light dose of mathematics. In it, he journeys through far more than (his choice of) eighty of “the world’s greatest games”, laying out a charming voyage through many lands. Despite some reservations, this reviewer finds that Around the World in Eighty Games is well-written and quite fascinating, largely due to its idiosyncratic, personal nature.
Quik Church, Route 3.141592,
2024
Claremont Colleges
Quik Church, Route 3.141592, Sarah Voss
Journal of Humanistic Mathematics
The following set of poems are from one of ten sections in a collection of poetry called Quik Church: Short Poems that Travel Far. Each section illustrates one of many “streets” which individuals often take on their spiritual journey through life, e.g., the Old Gods Path, Nature Trail, Memory Skyway, Mystic Avenue, Pastoral Lane, and so on. This one, Route 3.141592, is the route of mathematics and the science that depends on mathematics.
Hockey Card Statistics Are Stagnant And Stale,
2024
University of Saskatchewan
Hockey Card Statistics Are Stagnant And Stale, Egan J. Chernoff
Journal of Humanistic Mathematics
The purchase of a coffee at a Canadian institution, Tim Hortons, turned into an informal investigation into hockey card statistics. Turns out, hockey card statistics are stagnant and stale. This was disappointing to see because the game of hockey has changed, the statistics used to keep track of the game have changed. Even the cards have changed. Well, not the back of the cards, which do not well enough paint a statistical picture of the hockey player photographed on the front of the card.
