Geodesic
Multicoloring of incidentors of weighted undirected multigraph
Diskretnyj analiz i issledovanie operacij, Tome 19 (2012) no. 4, pp. 35-47

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Undirected multigraphs with weighted edges are considered. In multicoloring of incidentors, every incidentor should be assigned with a multicolor, i.e. an interval of colors whose length is equal to the weight of the incidentor. A multicoloring is proper if the multicolors of any two adjacent or junction incidentors do not intersect. Upper and lower bounds for the minimum number of colors necessary for a proper multicoloring of all incidentors of a multigraph are presented. Ill. 1, bibliogr. 10.
Keywords: incidentor, multicoloring, incidentor multichromatic number. 
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     author = {V. G. Vizing},
     title = {Multicoloring of incidentors of weighted undirected multigraph},
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V. G. Vizing. Multicoloring of incidentors of weighted undirected multigraph. Diskretnyj analiz i issledovanie operacij, Tome 19 (2012) no. 4, pp. 35-47. http://geodesic.mathdoc.fr/item/DA_2012_19_4_a2/