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<Article>
<Journal>
				<PublisherName>University of Isfahan</PublisherName>
				<JournalTitle>Transactions on Combinatorics</JournalTitle>
				<Issn>2251-8657</Issn>
				<Volume>4</Volume>
				<Issue>3</Issue>
				<PubDate PubStatus="epublish">
					<Year>2015</Year>
					<Month>09</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Star-path and star-stripe bipartite Ramsey numbers in multicoloring</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>37</FirstPage>
			<LastPage>42</LastPage>
			<ELocationID EIdType="pii">7275</ELocationID>
			
<ELocationID EIdType="doi">10.22108/toc.2015.7275</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Ghaffar</FirstName>
					<LastName>Raeisi</LastName>
<Affiliation>Department of Mathematical Sciences, Shahrekord University, P. O. Box 115, Shahrekord, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2014</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</History>
		<Abstract>‎‎For given bipartite graphs $G_1‎, ‎G_2,\ldots‎, ‎G_t,$ the bipartite Ramsey number $bR(G_1‎, ‎G_2,\ldots‎, ‎G_t)$ is the‎ ‎smallest integer $n$ such that if the edges of the complete bipartite graph $K_{n,n}$ are partitioned into $t$ disjoint color classes giving $t$ graphs $H_1‎, ‎H_2,\ldots‎, ‎H_t$‎, ‎then at least one $H_i$ has a subgraph isomorphic to $G_i$‎. ‎In this paper‎, ‎we study the multicolor bipartite Ramsey number $bR(G_1‎, ‎G_2,\ldots‎, ‎G_t)$‎, ‎in the case that $G_1‎, ‎G_2,\ldots‎, ‎G_t$ being either stars and stripes or stars and a path‎.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">bipartite Ramsey number</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Path</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Star</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Stripe</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://toc.ui.ac.ir/article_7275_5714622f72de3d4aac66bfb1c3cd3182.pdf</ArchiveCopySource>
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