On the b-chromatic number of regular bounded graphs
نویسندگان
چکیده
منابع مشابه
On the b-chromatic number of regular bounded graphs
A b-coloring of a graph is a proper coloring such that every color class contains a vertex adjacent to at least one vertex in each of the other color classes. The b-chromatic number of a graph G, denoted by b(G), is the maximum integer k such that G admits a b-coloring with k colors. El Sahili and Kouider conjectured that b(G) = d + 1 for d-regular graph with girth 5, d ≥ 4. In this paper, we p...
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Computing the chromatic number of a graph is an NP-hard problem. For random graphs and some other classes of graphs, estimators of the expected chromatic number have been well studied. In this paper, a new 0–1 integer programming formulation for the graph coloring problem is presented. The proposed new formulation is used to develop a method that generates graphs of known chromatic number by us...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2015
ISSN: 0166-218X
DOI: 10.1016/j.dam.2015.04.017