کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777219 1632576 2016 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Graphs with large girth are b-continuous
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Graphs with large girth are b-continuous
چکیده انگلیسی
A b-coloring of the vertices of a graph is a proper coloring where each color class contains a vertex which is adjacent to each other color class. The b-chromatic number of G is the maximum integer b(G) for which G has a b-coloring with b(G) colors. A graph G is b-continuous if G has a b-coloring with k colors, for every integer k in the interval [χ(G),b(G)]. It is known that not all graphs are b-continuous. Here, we show that if G has girth at least 10, then G is b-continuous.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Electronic Notes in Discrete Mathematics - Volume 55, November 2016, Pages 101-104
نویسندگان
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