Deepak Bal

collaborators

4 papers

math.CO2025

Edge-coloring $K_{n, n}$ with no 2-colored $C_{2 k}$

Deepak Bal, Patrick Bennett

The generalized Ramsey number $r (G, H, q)$ is the minimum number of colors needed to color the edges of $G$ such that every isomorphic copy of $H$ has at least $q$ colors. In this…

q-bio.PE2024

Exploring the Dynamics of Lotka-Volterra Systems: Efficiency, Extinction Order, and Predictive Machine Learning

Sepideh Vafaie, Deepak Bal, Michael A. S. Thorne +1

For years, a main focus of ecological research has been to better understand the complex dynamical interactions between species which comprise food webs. Using the connectance prop…

math.CO2024

Generalized Ramsey numbers of cycles, paths, and hypergraphs

Deepak Bal, Patrick Bennett, Emily Heath +1

Given a $k$ -uniform hypergraph $G$ and a set of $k$ -uniform hypergraphs $H$ , the generalized Ramsey number $f (G, H, q)$ is the minimum number of colors needed to…

math.CO2024

On the multicolor Ramsey numbers of balanced double stars

Deepak Bal, Louis DeBiasio, Ella Oren-Dahan

The balanced double star on $2 n + 2$ vertices, denoted $S_{n, n}$ , is the tree obtained by joining the centers of two disjoint stars each having $n$ leaves. Let $R_{r} (G)$ be the smalle…

Edge-coloring Kn,n​ with no 2-colored C2k​

Exploring the Dynamics of Lotka-Volterra Systems: Efficiency, Extinction Order, and Predictive Machine Learning

Generalized Ramsey numbers of cycles, paths, and hypergraphs

On the multicolor Ramsey numbers of balanced double stars

Edge-coloring $K_{n, n}$ with no 2-colored $C_{2 k}$