Diagonal Ramsey numbers in multipartite graphs related to stars
| Main Author: | Jayawardene, Chula Janak; University of Colombo, Colombo\ Sri Lanka |
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| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB
, 2022
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| Subjects: | |
| Online Access: |
https://www.ejgta.org/index.php/ejgta/article/view/642 https://www.ejgta.org/index.php/ejgta/article/view/642/pdf_215 |
Daftar Isi:
- Abstract: Let the star on n vertices, namely K1, n − 1 be denoted by Sn. If every two coloring of the edges of a complete balanced multipartite graph Kj × s there is a copy of Sn in the first color or a copy of Sm in the second color, then we will say Kj × s → (Sn, Sm). The size Ramsey multipartite number mj(Sn, Sm) is the smallest natural number s such that Kj × s → (Sn, Sm). In this paper, we obtain the exact values of the size Ramsey numbers mj(Sn, Sm) for n, m ≥ 3 and j ≥ 3.