http://www.its.caltech.edu/~dconlon/Books3.pdf Webb27 feb. 2024 · Ramsey and Gallai-Ramsey Number for Wheels Y. Mao, Zhao Wang, Colton Magnant, I. Schiermeyer Mathematics Graphs and Combinatorics 2024 Given a graph G …
Gallai-Ramsey Numbers for Rainbow and Monochromatic Paths
Webbgraph Ramsey numbers, Gallai-Ramsey numbers have gained a reputation as being very difficult to compute in general. As yet, still only precious few sharp results are known. … WebbWe continue to study the Gallai-Ramsey numbers of odd cycles in this paper. We determine the exact values of Gallai-Ramsey numbers of C 9 and C 11 in this paper by showing that the lower bound in Theorem1.4is also the desired upper bound. That is, we prove that GR k(C 2n+1) n2k + 1 for all integers n2f4;5gand k 1. cbs weather lonnie quinn
Ramsey and Gallai-Ramsey numberfor wheels arXiv:1905.12414v1 …
Webb28 feb. 2013 · For given graphs G 1 and G 2, the Ramsey number R(G 1, G 2) is the least integer n such that every 2-coloring of the edges of K n … Webb28 maj 2024 · Much like graph Ramsey numbers, Gallai-Ramsey numbers have gained a reputation as being very difficult to compute in general. As yet, still only precious few … WebbWe now consider the 4-cycle. In comparison to the classical Ramsey number rk(C4)=k2 + O(k)forC4 (see [17]), the following result shows that the Gallai-Ramsey number is quite different. Theorem 5 grk(K3: C4)=k +4. Proof: For the lower bound, consider the following construction. Partition K5 into two edge-disjoint 5-cycles. bus melton mowbray long clawson