Many vertex-partitioning problems can be expressed within a general framework introduced by Telle and Proskurowski. They showed that optimization problems in this framework can be solved in polynomial time on classes of graphs with bounded tree-width. In this paper, we consider a very similar framew
Statistical effectiveness of algorithms solving one problem of graph vertex partitioning
β Scribed by K. V. Shakhbazyan; T. A. Tushkina
- Publisher
- Springer US
- Year
- 1978
- Tongue
- English
- Weight
- 651 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1573-8337
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π SIMILAR VOLUMES
Given an infinite graph G, let deg,(G) be defined as the smallest d for which V(G) can be partitioned into finite subsets of (uniformly) bounded size such that each part is adjacent to at most d others. A countable graph G is constructed with de&(G) > 2 and with the property that [{y~V(G):d(x, y)sn}
Let G be an infinite graph; define de& G to be the least m such that any partition P of the vertex set of G into sets of uniformly bounded cardinality contains a set which is adjacent to at least m Other sets of the partition. If G is either a regular tree 01 a triangtiisr, sqzart or hexagonal plana
MATHEMATICAL l OWl"lD ." \*ClaNCC d COMPUTER DIRmCT\* MODELLING Mathematical and Computer Modelling 38 (2003)