We prove that any k-regular directed graph with no parallel edges contains a collection of at least fl(k2) edge-disjoint cycles; we conjecture that in fact any such graph contains a collection of at least ( lCi1 ) disjoint cycles, and note that this holds for k 5 3. o 1996
Disjoint directed quadrilaterals in a directed graph
โ Scribed by Danhong Zhang; Hong Wang
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 139 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0364-9024
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โฆ Synopsis
Abstract
Let D be a directed graph of order 4__k__, where k is a positive integer. Suppose that the minimum degree of D is at least 6__k__โโโ2. We show that D contains k disjoint directed quadrilaterals with only one exception. ยฉ 2005 Wiley Periodicals, Inc. J Graph Theory
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