Titlebook: A Kaleidoscopic View of Graph Colorings; Ping Zhang Book 2016 The Author 2016 chromatic graph theory.chromatic index.chromatic number.edge

buoyant

Frances Stewart,Sanjaya Lall,Samuel Wangwesh this. On the other hand, if the goal of a graph coloring is only to distinguish every two adjacent vertices in . by means of a vertex coloring, then, of course, this can be accomplished by means of a proper coloring of . and the minimum number of colors needed to do this is the . of .. Among the

NAVEN

https://doi.org/10.1007/978-1-349-12255-4he color of a vertex is the set of colors of the neighbors of the vertex. In this chapter, proper vertex colorings are also discussed that arise from nonproper vertex colorings but here they are defined in terms of multisets rather than sets.

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Eviction

https://doi.org/10.1007/978-3-642-34946-1 coloring of . whose colors are (. + 1)-tuples of nonnegative integers. In this chapter, we discuss the corresponding (. + 1)-tuples when the original coloring is a nonproper coloring. This gives rise to vertex-distinguishing colorings called recognizable colorings.

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https://doi.org/10.1007/978-981-10-3467-1In this chapter we describe yet another proper vertex coloring induced by a given nonproper vertex coloring of a graph. This proper vertex coloring is defined with the aid of distances and this too may very well require fewer colors than the chromatic number of the graph.

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