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On the density, chromatic number and chromatic index of a graph

Authors: Fiorini S.; LO FARO, Giovanni; PUCCIO, Luigia;

On the density, chromatic number and chromatic index of a graph

Abstract

Bounds on the chromatic number of a graph in terms of its density are surveyed. The concepts of line-graph and of chromatic index are exploited. In turn, a sharpening of Vizing's Theorem ls exhibited. Additional conditions yield the chromatic class of the Generalized Petersen Graphs and of certain uniquely colourable graphs.

Country
Italy
Related Organizations
Keywords

Graphs; Chromatic number; Chromatic index

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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