Positively curved cubic plane graphs are finite
نویسندگان
چکیده
منابع مشابه
Positively curved cubic plane graphs are finite
Let G be an infinite plane graph such that G is locally finite and every face of G is bounded by a cycle. Then G is said to be positively curved if, for every vertex x of G, 1− d(x)/2 + Σx∈F 1 |F | > 0, where the summation is taken over all facial cycles F containing x. Note that if G is positively curved then the maximum degree of G is at most 5. As a discrete analogue of a result in Riemannia...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2004
ISSN: 0364-9024,1097-0118
DOI: 10.1002/jgt.20026