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Rainbow Connection Numbers of Graph Products

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Rainbow Connections of Graphs

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

Abstract

Products of graphs occur naturally in discrete mathematics as tools in combinatorial constructions and give rise to important classes of graphs and deep structural problems. The extensive literature on products that has evolved over the years presents a wealth of profound and beautiful results, see Imrich and Klavzar (Product Graphs–Structure and Recognition, Wiley, New York, 2000). In (Characterize graphs with rainbow connection number m − 2 and rainbow connection numbers of some graph operations, submitted, June, 2010), Li and Sun obtained some results on the rainbow connection numbers of products of graphs, including Cartesian product, composition (lexicographic product) and join of graphs, etc.

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Correspondence to Xueliang Li .

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© 2012 Xueliang Li, Yuefang Sun

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Li, X., Sun, Y. (2012). Rainbow Connection Numbers of Graph Products. In: Rainbow Connections of Graphs. SpringerBriefs in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-3119-0_6

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