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On Regulating Sets and the Disparity of Planar Cubic Graphs

Published online by Cambridge University Press:  20 November 2018

Herbert Fleischner
Herbert Fleischner*
Affiliation:
Österreichsche Akademie der Wlssenschaften, Institut fur Informationsverarbeitung, A-1010 Wien, Fleischmarkt 20, 1., Stiege, 1. Stock, Vienna, Austria, Europe
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The goal of this paper is to relate plane cubic graphs which are not bipartite to plane bipartite cubic graphs which have properties (face-coloring with three colors, existence of two-factors whose cycles are boundaries of faces) characterizing this class of graphs.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 3 , 01 September 1974 , pp. 367 - 374
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Fleischner, H., Über endliche, ebene, Eulersche und paare, kubische Graphen, Monatsh. f. Math. 74 410-420 (1970).Google Scholar
2. Harary, F., Graph Theory (Addison-Wesley, Reading, Mass., 1971).Google Scholar