For given graphs G and H and an integer k , the Gallai–Ramsey number is defined to be the minimum integer n such that, in any k coloring of the edges of K n ...
In this paper, we study Ramsey number of even cycles with chords under Gallai colorings, where a Gallai coloring is a coloring of the edges of a complete graph ...
Sep 1, 2018 · Our result yields a unified proof for the Gallai-Ramsey number of all odd cycles on at least five vertices.
Oct 22, 2024 · For given graphs G and H and an integer k, the Gallai–Ramsey number is defined to be the minimum integer n such that, in any k coloring of ...
We study Ramsey-type problems in Gallai-colorings. Given a graph G and an integer k ≥ 1, the Gallai-Ramsey number grk(K3,G) is the least positive integer n ...
Apr 23, 2020 · In this paper, we extend the known precise Gallai-Ramsey numbers to include H = C 8 for all k. Keywords: 1. Introduction In this work, we consider only edge- ...
Given two graphs G and H and an integer k, the Gallai-Ramsey number grk(G : H) is defined to be the minimum integer n such that any k coloring of the complete ...
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Feb 3, 2021 · More recently, Gallai-Ramsey numbers of odd cycles on at most 15 vertices have been completely settled by Fujita and Magnant [10] for C5, Bruce ...
In this paper, we determine the Gallai–Ramsey numbers for C7. We state and prove our main result in Section 2. Very recently, Gallai–Ramsey numbers of odd ...
Nov 17, 2018 · Gallai-Ramsey numbers often consider edge-colorings of complete graphs in which there are no rainbow triangles. Within such colored complete ...