Decomposing Graphs of High Minimum Degree into 4-Cycles
نویسندگان
چکیده
منابع مشابه
Decomposing Graphs of High Minimum Degree into 4-Cycles
If a graph G decomposes into edge-disjoint 4-cycles, then each vertex of G has even degree and 4 divides the number of edges in G. It is shown that these obvious necessary conditions are also sufficient when G is any simple graph having minimum degree at least ( 32 + on(1))n, where n is the number of vertices in G. This improves the bound given by Gustavsson (1991), who showed (as part of a mor...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2014
ISSN: 0364-9024
DOI: 10.1002/jgt.21816