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On Ramsey numbers involving starlike multipartite graphs
Author(s) -
Burr S. A.,
Faudree R. J.,
Rousseau C. C.,
Schelp R. H.
Publication year - 1983
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.3190070404
Subject(s) - multipartite , combinatorics , ramsey's theorem , mathematics , discrete mathematics , graph , physics , quantum , quantum mechanics , quantum entanglement
The Ramsey number r(G, H) is evaluated exactly in certain cases in which both G and H are complete multipartite graphs K(n, 1 , n 2 , …. n k ) . Specifically, each of the following cases is handled whenever n is sufficiently large: r(K(1, m 1 , …. m k ), K(1, n)), r(K(1, m), K(n 1 , …. n k , n)) , provided m ≧ 4, and r(K(1, 1, m), K(n k , …, n k , n)) .
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