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- W4286985041 abstract "Assume that $K_{jtimes n}$ be a complete, multipartite graph consisting of $j$ partite sets and $n$ vertices in each partite set. For given graphs $G_1$ and $G_2$, the multipartite Ramsey number (M-R-number) $m_j(G_1, G_2)$ is the smallest integer $t$ such that any subgraph $G$ of the $K_{jtimes t}$, either $G$ contains a copy of $G_1$ or its complement relative to $K_{jtimes t}$ contains a copy of $G_2$. C. J. Jayawardene, E. T. Baskoro et al. $(2016)$ gave the size of M-R-numbe $m_j(nK_2, C_7)$ for $j geq 2 $ and $nleq 6$. Y. Rowshan et al. $(2021)$ gave the size of M-R-number $m_j(nK_2, C_7)$ for $j = 2,3, 4$ and $ngeq 2$. In this article we compute the size of M-R-number $m_j(nK_2,C_7)$, for each $jgeq 5$ and $ngeq 2$." @default.
- W4286985041 created "2022-07-25" @default.
- W4286985041 creator A5079719299 @default.
- W4286985041 date "2021-09-06" @default.
- W4286985041 modified "2023-09-26" @default.
- W4286985041 title "The Multipartite Ramsey numbers $m_j(nK_2,C_7)$" @default.
- W4286985041 doi "https://doi.org/10.48550/arxiv.2109.02257" @default.
- W4286985041 hasPublicationYear "2021" @default.
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