Given a graph HH, the kk‐colored Gallai–Ramsey number grk (K 3: H) gr_k(K_3:H) is
defined to be the minimum integer nn such that every kk‐coloring of the edges of the …

Given two graphs G, H and a positive integer k, the Gallai-Ramsey number gr k (G: H) is the
minimum integer N such that for all n≥ N, every exact k-edge-coloring of K n contains either …

Given two non-empty graphs G, H and a positive integer k, the Gallai–Ramsey number gr k
(G: H) is defined as the minimum integer N such that for all n≥ N, every k-edge-coloring of K …

Abstract The Gallai–Ramsey number grk (K 3: H 1, H 2,⋯, H k) is the smallest integer n such
that every k-edge-colored K n contains either a rainbow K 3 or a monochromatic H i in color i …

Given k graphs H 1, H 2,…, H k, the k-color Ramsey number R (H 1, H 2,…, H k) is defined
as the minimum integer n such that every k-edge-coloring of K n contains a monochromatic …

Abstract In Gallai-Ramsey theory for graphs, one seeks to identify the exact number of
vertices a complete graph must have to guarantee that every coloring of its edges, in which …

Given two graphs G and H, the Ramsey number R (G, H) is defined as the minimum number
of vertices n such that every {red, blue}-edge-coloring of K n contains either a red copy of G …

In the Ramsey theory of graphs, star-critical Gallai-Ramsey numbers serve as a measure of
the strength of their corresponding Gallai-Ramsey numbers. In this paper, we evaluate some …

Let G, H be two non-empty graphs and k be a positive integer. The Gallai-Ramsey number
gr k (G: H) is defined as the minimum positive integer N such that for all n≥ N, every k-edge …

Given a graph G and a positive integer k, define the Gallai—Ramsey number to be the
minimum number of vertices n such that any k-edge coloring of K n contains either a rainbow …