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Vertex-distinguishing edge-colorings of 2-regular graphs

โœ Scribed by P. Wittmann


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
755 KB
Volume
79
Category
Article
ISSN
0166-218X

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โœฆ Synopsis


Aigner et al., proved that for the irregular coloring number c(G) of a simple 2-regular graph of order n the inequality c(G) < v'& + 0( 1) holds. Here it is shown that c(G) < & + 0( 1).


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## Abstract We associate partitions of the edgeโ€set of a 4โ€regular plane graph into 1โ€factors or 2โ€factors to certain 3โ€valued vertex signatures in the spirit of the work by H. Grรถtzsch [1]. As a corollary we obtain a simple proof of a result of F. Jaeger and H. Shank [2] on the edgeโ€4โ€colorability