We define a new Markov chain on proper k-colorings of graphs, and relate its convergence properties to the maximum degree β¬ of the graph. The chain is shown to have bounds on convergence time appreciably better than those for the well-known JerrumrSalasαSokal chain in most circumstances. For the cas
Color Chain of a Graph
β Scribed by R. Balakrishnan; T. Kavaskar
- Publisher
- Springer Japan
- Year
- 2010
- Tongue
- English
- Weight
- 259 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
Let H = W F be a graph without multiple edges, but with the possibility of having loops. Let G = V E be a simple graph. A homomorphism c is a map c V β W with the property that v w β E implies that c v c w β F. We will often refer to c v as the color of v and c as an H-coloring of G. We consider the
Let G be a graph with point set V. A (2.)c,oloring of G is a map of V to ired, white!. An error occurs whenever the two endpoints of a line have the same color. An oprimul doring of G is a coloring of G for which the number of errors is minimum. The minimum number of errors is denoted by y(G), we de