Jul 31, 2021 · In this paper, we generalize the study to Gallai colorings. We study the multicolor Ramsey number of multiple copies of triangles in Gallai ...
Let mG denote the union of m disjoint copies of G. This paper studies the Gallai–Ramsey number GR(t1K3,…,tkK3) for all integers t1≥t2≥⋯≥tk≥1. The ...
Apr 19, 2021 · Let mG denote the union of m disjoint copies of G. This paper studies the Gallai–Ramsey number GR(t1K3,…,tkK3) for all integers t1≥t2≥⋯≥tk≥1.
Ramsey and Gallai-Ramsey Numbers for Two Classes of Unicyclic Graphs ... Gallai-Ramsey numbers for multiple triangles · Fangfang ZhangXiutao ZhuYaojun ...
Definition 1. 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.
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In this thesis, we determine the exact values of the Gallai-Ramsey numbers for rainbow triangles and several monochromatic subgraphs.
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The concept of avoiding rainbow triangles dates back to 1967 when Gallai [11] proved the following result, which was restated in [14] in terms of edge coloring.
Sep 26, 2018 · We provide the 2-color Ramsey numbers for these two classes of graphs and use these to obtain general upper and lower bounds on the Gallai-Ramsey numbers.
In this thesis, we determine the Gallai-Ramsey numbers for C7 with multiple colors. We believe the method we developed can be applied to find grk(K3, C2n+1) for ...
Aug 23, 2021 · Gallai-Ramsey numbers are a common variation of graph Ramsey numbers. Their name is derived from the close connection that rainbow ...