The total chromatic number of graphs having large maximum degree
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چکیده
منابع مشابه
TOTAL CHROMATIC NUMBER OF GRAPHS OF ORDER 2«+l HAVING MAXIMUM DEGREE
Let G be a graph of order 2n+ 1 having maximum degree 2n—\. We prove that the total chromatic number of G is 2/i if and only if e(G — w) + oc'(G — w)^n, where w is a vertex of minimum degree in G, G — w is the complement of G — w, e(G — w) is the size of G — w, and a'(G-w) is the edge independence number of G — w.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1993
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)90329-r