Maximum packings of the complete graph with uniform length cycles
نویسنده
چکیده
In this paper we find the maximum number of pairwise edge-disjoint mcycles which exist in a complete graph with n vertices, for all values of n and m with 3 ≤ m ≤ n.
منابع مشابه
Packings in Complete Graphs
We deal with the concept of packings in graphs, which may be regarded as a generalization of the theory of graph design. In particular we construct a vertexand edge-disjoint packing of Kn (where n 2 mod 4 equals 0 or 1) with edges of different cyclic length. Moreover we consider edge-disjoint packings in complete graphs with uniform linear forests (and the resulting packings have special additi...
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A cycle packing in a (directed) multigraph is a vertex disjoint collection of (directed) elementary cycles. If D is a demiregular multidigraph we show that the arcs of D can be partitioned into Ai. cycle packings where Ain is the maximum indegree of a vertex in D. We then show that the maximum length cycle packings in any digraph contain a common vertex.
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If the complete graph Kn has vertex set X , a maximum packing of Kn with 4-cycles, (X,C, L), is an edge-disjoint decomposition of Kn into a collection C of 4-cycles so that the unused edges (the set L) is as small a set as possible. Maximum packings of Kn with 4-cycles were shown to exist by Schönheim and Bialostocki (Can. Math. Bull. 18:703–708, 1975). An almost parallel class of a maximum pac...
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 68 شماره
صفحات -
تاریخ انتشار 2011