The main purpose of our paper is to investigate the lower and upper bounds for the k-color Ramsey number for double stars.

Nov 7, 2022 · We study the k-color Ramsey number for double stars S(n,m), where n\ge m\ge1. To the best of our knowledge, little is known on the exact value of r(S(n,m);k) ...

In this thesis, we study the multicolor Ramsey number of double stars. We obtain upper and lower bounds for r(S(n,m); k) when k is at least 3 and prove that r(S ...

The double star $S(n,m)$ is the graph consisting of the disjoint union of two stars $K_{1,n}$ and $K_{1,m}$ together with an edge joining their centers.

Given an integer n ≥ 1, the balanced double star Sn,n is a tree consisting of two vertex disjoint stars with n leaves each, connected at their central vertices ...

Jul 18, 2024 · Motivated by their work, we study the k-color Ramsey number for double stars S ( n, m ), where n ≥ m ≥ 1. To the best of our knowledge, little ...

For positive integers $n, m$, the double star $S(n,m)$ is the graph consisting of the disjoint union of two stars $K_{1,n}$ and $K_{1,m}$ together with an ...

For positive integers $n, m$, the double star $S(n,m)$ is the graph consisting of the disjoint union of two stars $K_{1,n}$ and $K_{1,m}$ together with an ...

For a graph $H$ and integer $k\ge1$, let $r(H;k)$ and $r_\ell(H;k)$ denote the $k$-color Ramsey number and list Ramsey number of $H$, respectively.

Apr 19, 2024 · For a graph H and an integer k≥1, let r(H;k) and rℓ(H;k) denote the k-color Ramsey number and list Ramsey number of H, respectively.