Kempe-Locking Configurations
نویسندگان
چکیده
منابع مشابه
Kempe Equivalence of Colorings
Several basic theorems about the chromatic number of graphs can be extended to results in which, in addition to the existence of a kcoloring, it is also shown that all k-colorings of the graph in question are Kempe equivalent. Here, it is also proved that for a planar graph with chromatic number less than k, all k-colorings are Kempe equivalent.
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Given a graph G = (V,E) and a proper vertex colouring of G, a Kempe chain is a subset of V that induces a maximal connected subgraph of G in which every vertex has one of two colours. To make a Kempe change is to obtain one colouring from another by exchanging the colours of vertices in a Kempe chain. Two colourings are Kempe equivalent if each can be obtained from the other by a series of Kemp...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2018
ISSN: 2227-7390
DOI: 10.3390/math6120309