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Discrete Mathematics and Combinatorics Commons™

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Full-Text Articles in Discrete Mathematics and Combinatorics

Modeling The Clonal Rosette Composition Of A Bromeliaceae Genet: A Combinatorial Approach, Layla K. Lammers, Erin N. Bodine Aug 2026

Modeling The Clonal Rosette Composition Of A Bromeliaceae Genet: A Combinatorial Approach, Layla K. Lammers, Erin N. Bodine

Spora: A Journal of Biomathematics

Bromeliaceae, a neo-tropical plant family encompassing over 3,000 species, exhibit two modes of reproduction: sexual reproduction via flowers and seeds, and asexual reproduction via genetically identical clonal rosettes. The vegetative bodies of bromeliads form rosettes with new leaves emerging from the center and clonal rosettes emerging above a single leaf in the rosette, resulting in a genetic individual consisting of a seed-grown rosette and multiple iterations of clonal rosettes. This research develops a combinatorial model of probability that a single genetic individual will include at least n clonal rosettes when a single rosette can produce at most 1 or 2 …


Symmetry In Latin Hypercubes, Levi Neiburger Jan 2026

Symmetry In Latin Hypercubes, Levi Neiburger

Theses and Dissertations

Let [n] = {1, ..., n}. A hypercube H of order n and dimension d is a d-dimensional array whose nᵈ cells are indexed by [n]ᵈ. A hyperplane in H is obtained by fixing one coordinate, while allowing the remaining d–1 coordinates to vary. We wish to color each cell of H from a palette of nd-1 colors such that each hyperplane is polychromatic.

Our main result is the following. Let n be sufficiently large. There exists a symmetric coloring of the d-dimensional hypercubes of order n whose all hyperplanes are polychromatic if and only if: …


Modeling The Probability Of N Clonal Rosettes In A Bromeliaceae Genetic Individual, Erin N. Bodine, Layla K. Lammers Nov 2025

Modeling The Probability Of N Clonal Rosettes In A Bromeliaceae Genetic Individual, Erin N. Bodine, Layla K. Lammers

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Kadelka: On The Uniqueness Of Network Identification, Alan Veliz-Cuba, Elena Dimitrova Nov 2023

Msis-Kadelka: On The Uniqueness Of Network Identification, Alan Veliz-Cuba, Elena Dimitrova

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Kadelka: Algebraic Methods For Inferring Discrete Models Of Biological Networks, Brandilyn Stigler Nov 2023

Msis-Kadelka: Algebraic Methods For Inferring Discrete Models Of Biological Networks, Brandilyn Stigler

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Extension Of Fundamental Transversals And Euler’S Polyhedron Theorem, Joy Marie D'Andrea Nov 2022

Extension Of Fundamental Transversals And Euler’S Polyhedron Theorem, Joy Marie D'Andrea

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modularity And Boolean Network Decomposition, Matthew Wheeler Nov 2022

Modularity And Boolean Network Decomposition, Matthew Wheeler

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Rippled Almost Periodic Behavior In An Epilepsy Model, David Chan, Candace Kent Nov 2021

Rippled Almost Periodic Behavior In An Epilepsy Model, David Chan, Candace Kent

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Identification Of Control Targets In Boolean Networks Via Computational Algebra, Alan Veliz-Cuba Nov 2021

Identification Of Control Targets In Boolean Networks Via Computational Algebra, Alan Veliz-Cuba

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Building Model Prototypes From Time-Course Data, David Murrugarra, Alan Veliz-Cuba Nov 2021

Building Model Prototypes From Time-Course Data, David Murrugarra, Alan Veliz-Cuba

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Prime Supporters In College Students' Support Networks, David Chan, Hollee Mcginnis, Michael Broda, Haya Hamid, Jeremy Winslow, Quindel Jones, Joy Ma Nov 2020

Prime Supporters In College Students' Support Networks, David Chan, Hollee Mcginnis, Michael Broda, Haya Hamid, Jeremy Winslow, Quindel Jones, Joy Ma

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Algebraic And Combinatorial Approaches For Counting Cycles Arising In Population Biology, Brian Chau Nov 2020

Algebraic And Combinatorial Approaches For Counting Cycles Arising In Population Biology, Brian Chau

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Sdrap: An Annotation Pipeline For Highly Scrambled Genomes, Jasper Braun Oct 2019

Sdrap: An Annotation Pipeline For Highly Scrambled Genomes, Jasper Braun

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematical Models For Describing Molecular Self-Assembly, Margherita Maria Ferrari Oct 2019

Mathematical Models For Describing Molecular Self-Assembly, Margherita Maria Ferrari

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Loop Homology Of Bi-Secondary Structures, Andrei Bura Oct 2019

Loop Homology Of Bi-Secondary Structures, Andrei Bura

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Design Of Experiments For Unique Wiring Diagram Identification, Elena Dimitrova Oct 2019

Design Of Experiments For Unique Wiring Diagram Identification, Elena Dimitrova

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


On An Enhancement Of Rna Probing Data Using Information Theory, Thomas J.X. Li, Christian M. Reidys Oct 2019

On An Enhancement Of Rna Probing Data Using Information Theory, Thomas J.X. Li, Christian M. Reidys

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Research For Educators: Modeling Graph Theory For Nontraditional Math Researchers, Erwin Cornelius Oct 2019

Research For Educators: Modeling Graph Theory For Nontraditional Math Researchers, Erwin Cornelius

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Transformations On Double Occurrence Words Motivated By Dna Rearrangement, Daniel Cruz, Margherita Maria Ferrari, Lukas Nabergall, Natasa Jonoska, Masahico Saito Oct 2018

Transformations On Double Occurrence Words Motivated By Dna Rearrangement, Daniel Cruz, Margherita Maria Ferrari, Lukas Nabergall, Natasa Jonoska, Masahico Saito

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


The Influence Of Canalization On The Robustness Of Finite Dynamical Systems, Claus Kadelka Oct 2018

The Influence Of Canalization On The Robustness Of Finite Dynamical Systems, Claus Kadelka

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon Oct 2018

Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


An Extended Formulation Of The Convex Recoloring Problem On A Phylogenetic Tree, Sangho Shim Oct 2017

An Extended Formulation Of The Convex Recoloring Problem On A Phylogenetic Tree, Sangho Shim

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Repeat And Return Patterns In Double Occurrence Words, Lukas Nabergall Oct 2017

Repeat And Return Patterns In Double Occurrence Words, Lukas Nabergall

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Bounds On The Expected Size Of The Maximum Agreement Subtree, Colby Long, Daniel Irving Bernstein, Lam Si Tung Ho, Mike Steel, Katherine St. John, Seth Sullivant Oct 2016

Bounds On The Expected Size Of The Maximum Agreement Subtree, Colby Long, Daniel Irving Bernstein, Lam Si Tung Ho, Mike Steel, Katherine St. John, Seth Sullivant

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Exploring The Space Of Rna Secondary Structures, Heather C. Smith Oct 2016

Exploring The Space Of Rna Secondary Structures, Heather C. Smith

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Markov Chains On Graphical Models Of Gene Regulation, Megan Bernstein Oct 2016

Markov Chains On Graphical Models Of Gene Regulation, Megan Bernstein

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Genome Rearrangement: Graphs And Matrices, Jeffrey Davis Oct 2016

Genome Rearrangement: Graphs And Matrices, Jeffrey Davis

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


On The Expected Number Of Crossings In A Tanglegram, Eva Czabarka Oct 2016

On The Expected Number Of Crossings In A Tanglegram, Eva Czabarka

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


On The Perfect Reconstruction Of The Structure Of Dynamic Networks, Alan Veliz-Cuba Oct 2016

On The Perfect Reconstruction Of The Structure Of Dynamic Networks, Alan Veliz-Cuba

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Spectral Graph Theory And New Stability Measures For Deterministic Gene Regulatory Networks, Fusun Akman, Devin Akman Oct 2016

Spectral Graph Theory And New Stability Measures For Deterministic Gene Regulatory Networks, Fusun Akman, Devin Akman

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.