On disjoint matchings in cubic graphs
β Scribed by Vahan V. Mkrtchyan; Samvel S. Petrosyan; Gagik N. Vardanyan
- Book ID
- 108114216
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 562 KB
- Volume
- 310
- Category
- Article
- ISSN
- 0012-365X
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## Abstract In this paper, we show that the edge set of a cubic graph can always be partitioned into 10 subsets, each of which induces a matching in the graph. This result is a special case of a general conjecture made by ErdΓΆs and NeΕ‘etΕil: For each __d__ β₯ 3, the edge set of a graph of maximum de
## Abstract We consider the expected size of a smallest maximal matching of cubic graphs. Firstly, we present a randomized greedy algorithm for finding a small maximal matching of cubic graphs. We analyze the averageβcase performance of this heuristic on random __n__βvertex cubic graphs using diffe