Packings of the complete directed graph withm-circuits
β Scribed by Liang Zhihe; Kang Qingde
- Book ID
- 107502158
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 1998
- Tongue
- English
- Weight
- 407 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1005-1031
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Let 2DK~, denote the complete directed multigraph with v vertices, where any two distinct vertices x and y are joined by 2 arcs (x,y) and 2 arcs (y,x). By a k-circuit we mean a directed cycle of length k. In this paper, we consider the problem of finding maximal packings and minimal coverings of 2DK
## Abstract An (__s, t__)βdirected star is a directed graph with __s__ + __t__ + 1 vertices and s + t arcs; s vertices have indegree zero and outdegree one, __t__ have indegree one and outdegree zero, and one has indegree __s__ and outdegree __t__. An (__s, t__)βdirected star decomposition is a par
In this paper we find the maximum number of pairwise edgedisjoint m-cycles which exist in a complete graph with n vertices, for all values of n and m with 3 β€ m β€ n.