In this paper, we consider the problem of decomposing complete multigraphs into multistars (a multistar is a star with multiple edges allowed). We obtain a criterion for the decomposition of the complete multigraph λK n into multistars with prescribed number of edges, but the multistars in the decomposition with the same number of edges are not necessarily isomorphic. We also consider the problem of decomposing λKn into isomorphic multistars and propose a conjecture about the decomposition of 2Kn into isomorphic multistars.
|Number of pages||15|
|Publication status||Published - 2005 Jan 1|
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