Indonesian Journal of Combinatorics
Vol 1, No 1 (2016)

On the Ramsey number of 4-cycle versus wheel

Noviani, Enik ( Institut Teknologi Bandung )
Baskoro, Edy Tri ( Institut Teknologi Bandung )

Article Info

Publish Date
10 Oct 2016


For any fixed graphs $G$ and $H$, the Ramsey number $R(G,H)$ is the smallest positive integer $n$ such that for every graph $F$ on $n$ vertices must contain $G$ or the complement of $F$ contains $H$. The girth of graph $G$ is a length of the shortest cycle. A $k$-regular graph with the girth $g$ is called a $(k,g)$-graph. If the number of of vertices in $(k,g)$-graph is minimized then we call this graph a $(k,g)$-cage. In this paper, we derive the bounds of Ramsey number $R(C_4,W_n)$ for some values of $n$. By modifying $(k, 5)$-graphs, for $k = 7$ or $9$, we construct these corresponding $(C_4,W_n)$-good graphs. 

Copyrights © 2016

Journal Info





Computer Science & IT Decision Sciences, Operations Research & Management


Indonesian Journal of Combinatorics (IJC) publishes current research articles in any area of combinatorics and graph theory such as graph labelings, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. IJC is published by the Indonesian ...