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Edge Coloring by Total Labelings of 4-regular Circulant Graphs

✍ Scribed by Seba, Hamida; Khennoufa, Riadh

Book ID: 123145877
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 162 KB
Volume: 41
Category: Article
ISSN: 1571-0653
DOI: 10.1016/j.endm.2013.05.086

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