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Multidecompositions of the Balanced Complete Bipartite Graph into Paths and Stars

Hung-Chih Lee, Yen-Po Chu

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Source: Crossref

Published: Mar 11, 2013

DOI: 10.1155/2013/398473

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Source abstract

Let and denote a path and a star with edges, respectively. For graphs , , and , a -multidecomposition of is a partition of the edge set of into copies of and copies of with at least one copy of and at least one copy of . In this paper, necessary and sufficient conditions for the existence of the (, )-multidecomposition of the balanced complete bipartite graph are given.

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