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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: Springer New York · Zbl 0418.05049
[2] Dijkstra, E. W.; Rao, J. R., Designing the proof of Vizing’s algorithm, (EWD1082a (September 1990), University of Texas at Austin)
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