WebbAbstract A Gallai-coloring (G-coloring) is a generalization of 2-colorings of edges of complete graphs: a G-coloring of a complete graph is an edge coloring such that no … Webband Ramsey-type results about Gallai colorings. For example, in [20] it was proved that any Gallai coloring can be obtained by substituting complete graphs with Gallai colorings into vertices of 2-colored complete graphs ([20, Theorem A]), and that any Gallai coloring contains a monochromatic spanning tree ([20, Theorem 2.2]).

Ramsey-Type Results for Gallai Colorings Request PDF

WebbGallai–Ramsey Numbers for a Class of Graphs with Five Vertices. 02 June 2024. ... defined for usualk-colorings. The results reflect the relationship betweenr k (G) andr k loc (G) for certain classes of graphs. Download to read the full article text ... Chung, F.R.K.: On a Ramsey-type problem. J. Graph Theory.7, 79–83 (1983) Webb24 aug. 2024 · 1 Introduction. Given a graph G and a positive integer k, the k -color Ramsey number R_ {k} (G) is the minimum number of vertices n such that every k -coloring of the … recap ideas

Gallai-Ramsey numbersofbipartite graphs arXiv:1710.10455v1 …

Webb1 apr. 2024 · Given a graph H and an integer k ≥ 1, the Gallai–Ramsey number G R k ( H) is the least positive integer n such that every k -edge-coloring of K n contains either a rainbow triangle or a monochromatic copy of H. Clearly, G R k ( H) ≤ R k ( H). We will utilize the following important structural result of Gallai [10] on Gallai-colorings of ... Webb1 jan. 2024 · Furthermore, we study the Erd\H{o}s-Gallai-type results for mvd(G), and completely solve them. Finally, we propose an algorithm to compute mvd(G) and give an mvd-coloring of G. Webb25 okt. 2009 · Here, we give a method to extend some results on 2-colorings to Gallai-colorings, among them known and new, easy and difficult results. The method works for … recap in french