Given a property P, graph G. and k 2 0, a P k-coloring is a function 7r: V(G) + { I , ... , k) such that the subgraph induced by each color class has property P; x ( G : P ) is the least k, for which G has a P k-coloring. We investigate here the theory of P colorings. Generalizations of the wellknow
β¦ LIBER β¦
The complexity of generalized graph colorings
β Scribed by Jason I. Brown
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 1004 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
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Bounds are given on the number of colors required to color the edges of a graph (multigraph) such that each color appears at each vertex u at most m(u) times. The known results and proofs generalize in natural ways. Certain new edge-coloring problems, which have no counterparts when m(u) = 1 for all