Title of article
Packing cycles in complete graphs
Author/Authors
Bryant، نويسنده , , Darryn and Horsley، نويسنده , , Daniel، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
24
From page
1014
To page
1037
Abstract
We introduce a new technique for packing pairwise edge-disjoint cycles of specified lengths in complete graphs and use it to prove several results. Firstly, we prove the existence of dense packings of the complete graph with pairwise edge-disjoint cycles of arbitrary specified lengths. We then use this result to prove the existence of decompositions of the complete graph of odd order into pairwise edge-disjoint cycles for a large family of lists of specified cycle lengths. Finally, we construct new maximum packings of the complete graph with pairwise edge-disjoint cycles of uniform length.
Keywords
Graph packing , Graph decompositions , Cycle decompositions
Journal title
Journal of Combinatorial Theory Series B
Serial Year
2008
Journal title
Journal of Combinatorial Theory Series B
Record number
1528744
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