کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4648923 1632446 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Triangulated neighborhoods in even-hole-free graphs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Triangulated neighborhoods in even-hole-free graphs
چکیده انگلیسی

An even-hole-free graph is a graph that does not contain, as an induced subgraph, a chordless cycle of even length. A graph is triangulated if it does not contain any chordless cycle of length greater than three, as an induced subgraph. We prove that every even-hole-free graph has a node whose neighborhood is triangulated. This implies that in an even-hole-free graph, with n nodes and m   edges, there are at most n+2mn+2m maximal cliques. It also yields an O(n2m)O(n2m) algorithm that generates all maximal cliques of an even-hole-free graph. In fact these results are obtained for a larger class of graphs that contains even-hole-free graphs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 307, Issues 9–10, 6 May 2007, Pages 1065–1073
نویسندگان
, ,