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A constructive proof of Vizing’s theorem. (English) Zbl 0795.68157
The proof of Vizing’s theorem given in this note is essentially the same proof given by Vizing [see S. Fiorini and R. J. Wilson: Edge- colourings of graphs, Pitman (1977; Zbl 0421.05023), pp. 30-32]. There are some ambiguities/gaps in the description of the process for “Inversting the cd-path of $$X$$” in this note. Vizing’s theorem has been generalized by L. D. Andersen and also by M. K. Gol’dberg [see the reviewer’s book: Some topics in graph theory, Cambridge University Press (1986; Zbl 0588.05002), pp. 14-16].

##### MSC:
 68R10 Graph theory (including graph drawing) in computer science 68Q60 Specification and verification (program logics, model checking, etc.) 05C15 Coloring of graphs and hypergraphs
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##### References:
 [1] Bollobás, B., Graph theory, (1979), Springer New York · Zbl 0418.05049 [2] Dijkstra, E.W.; Rao, J.R., Designing the proof of Vizing’s algorithm, ()
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