Hadwiger Number and the Cartesian Product of Graphs
نویسندگان
چکیده
منابع مشابه
Hadwiger Number and the Cartesian Product of Graphs
The Hadwiger number η(G) of a graph G is the largest integer n for which the complete graph Kn on n vertices is a minor of G. Hadwiger conjectured that for every graph G, η(G) ≥ χ(G), where χ(G) is the chromatic number of G. In this paper, we study the Hadwiger number of the Cartesian product G H of graphs. As the main result of this paper, we prove that η(G1 G2) ≥ h √ l (1− o(1)) for any two g...
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The Hadwiger number η(G) of a graph G is defined as the largest integer n for which the complete graph on n nodes Kn is a minor of G. Hadwiger conjectured that for any graph G, η(G) ≥ χ(G),where χ(G) is the chromatic number of G. In this paper, we investigate the Hadwiger number with respect to the cartesian product operation on Graphs. As the main result of this paper, we show that for any two...
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ژورنال
عنوان ژورنال: Graphs and Combinatorics
سال: 2008
ISSN: 0911-0119,1435-5914
DOI: 10.1007/s00373-008-0795-7