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A new tool for proving Vizing’s Theorem.

Authors :
Kostochka, Alexandr
Source :
Discrete Mathematics. Jul2014, Vol. 326, p1-3. 3p.
Publication Year :
2014

Abstract

Abstract: The known proofs of the famous theorem of Vizing on edge coloring of (multi)graphs are not long but sophisticated. The main goal of this note is to present an auxiliary (multi)digraph that simplifies and facilitates proofs of it. The secondary goal is to use the approach for proofs of Vizing’s Adjacency Lemma and the Andersen–Goldberg Theorem. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0012365X
Volume :
326
Database :
Academic Search Index
Journal :
Discrete Mathematics
Publication Type :
Academic Journal
Accession number :
95505290
Full Text :
https://doi.org/10.1016/j.disc.2014.02.021