Covers, matching and odd cycles of a graph
نویسندگان
چکیده
منابع مشابه
Eliminating Odd Cycles by Removing a Matching
We study the problem of determining whether a given graph G = (V,E) admits a matching M whose removal destroys all odd cycles of G (or equivalently whether G−M is bipartite). This problem is also equivalent to determine whether G admits a (1,1)-coloring, which is a 2-coloring of V (G) in which each color class induces a graph of maximum degree at most 1. We show that such a decision problem is ...
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An extremal graph for a graph H on n vertices is a graph on n vertices with maximum number of edges that does not contain H as a subgraph. Let Tn,r be the Turán graph, which is the complete r-partite graph on n vertices with part sizes that differ by at most one. The well-known Turán Theorem states that Tn,r is the only extremal graph for complete graph Kr+1. Erdős et al. (1995) determined the ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1975
ISSN: 0012-365X
DOI: 10.1016/0012-365x(75)90022-9