More results on r-inflated graphs: Arboricity, thickness, chromatic number and fractional chromatic number
نویسندگان
چکیده
منابع مشابه
More results on r-inflated graphs: Arboricity, thickness, chromatic number and fractional chromatic number
The r-inflation of a graph G is the lexicographic product G with Kr. A graph is said to have thickness t if its edges can be partitioned into t sets, each of which induces a planar graph, and t is smallest possible. In the setting of the r-inflation of planar graphs, we investigate the generalization of Ringel’s famous Earth-Moon problem: What is the largest chromatic number of any thickness-t ...
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A graph has thickness t if the edges can be decomposed into t and no fewer planar layers. We study one aspect of a generalization of Ringel’s famous Earth-Moon problem: what is the largest chromatic number of any thickness-2 graph? In particular, given a graph G we consider the r-inflation of G and find bounds on both the thickness and the chromatic number of the inflated graphs. In some instan...
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ژورنال
عنوان ژورنال: Ars Mathematica Contemporanea
سال: 2010
ISSN: 1855-3974,1855-3966
DOI: 10.26493/1855-3974.175.b78