Deepak Bal

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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…

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​

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 $C_{2 k}$