منابع مشابه
Maximum packings of the complete graph with uniform length cycles
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.
متن کاملAlmost Resolvable Maximum Packings of Complete Graphs with 4-Cycles
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...
متن کاملChain Packings and Odd Subtree Packings
A chain packing H in a graph is a subgraph satisfying given degree constraints at the vertices. Its size is the number of odd degree vertices in the subgraph. An odd subtree packing is a chain packing which is a forest in which all non-isolated vertices have odd degree in the forest. We show that for a given graph and degree constraints, the size of a maximum chain packing and a maximum odd sub...
متن کاملMaximum Independent Sets in Certain Powers of Odd Cycles
We give a complete classification of all maximum independent sets in powers of odd cycles of the form Cd k2d+1 .
متن کاملCycles with consecutive odd lengths
In this paper we prove that there exists an absolute constant c > 0 such that for every natural number k, every non-bipartite 2-connected graph with average degree at least ck contains k cycles with consecutive odd lengths. This implies the existence of the absolute constant d > 0 that every non-bipartite 2-connected graph with minimum degree at least dk contains cycles of all lengths modulo k,...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1994
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)90375-1