Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657314 | Journal of Combinatorial Theory, Series B | 2008 | 24 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics