## Abstract A __kβtree__ is a chordal graph with no (__k__β+β2)βclique. An ββ__treeβpartition__ of a graph __G__ is a vertex partition of __G__ into βbags,β such that contracting each bag to a single vertex gives an ββtree (after deleting loops and replacing parallel edges by a single edge). We pro
Computational techniques for vertex partitioning of graphs
β Scribed by Liu, Xiaoyu; Balasubramanian, K.; Munk, M. E.
- Book ID
- 118749482
- Publisher
- American Chemical Society
- Year
- 1990
- Tongue
- English
- Weight
- 804 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0095-2338
No coin nor oath required. For personal study only.
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