Internal Partitions of Regular Graphs
نویسندگان
چکیده
منابع مشابه
Internal Partitions of Regular Graphs
An internal partition of an n-vertex graph G = (V,E ) is a partition of V such that every vertex has at least as many neighbors in its own part as in the other part. It has been conjectured that every d -regular graph with n > N(d ) vertices has an internal partition. Here we prove this for d = 6. The case d = n − 4 is of particular interest and leads to interesting new open problems on cubic g...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2015
ISSN: 0364-9024
DOI: 10.1002/jgt.21909