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http://dx.doi.org/10.7858/eamj.2017.007

A REMARK ON CIRCULANT DECOMPOSITIONS OF COMPLETE MULTIPARTITE GRAPHS BY GREGARIOUS CYCLES  

Cho, Jung Rae (Department of Mathematics Pusan National University)
Publication Information
Abstract
Let k, m and t be positive integers with $m{\geq}4$ and even. It is shown that $K_{km+1(2t)}$ has a decomposition into gregarious m-cycles. Also, it is shown that $K_{km(2t)}$ has a decomposition into gregarious m-cycles if ${\frac{(m-1)^2+3}{4m}}$ < k. In this article, we make a remark that the decompositions can be circulant in the sense that it is preserved by the cyclic permutation of the partite sets, and we will exhibit it by examples.
Keywords
multipartite graphs; gregarious cycles; circulant decomposition;
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Times Cited By KSCI : 3  (Citation Analysis)
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