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
Link To Document :
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