## Abstract Degree conditions on the vertices of a __t__βtough graph __G__ (1ββ€βtβ<β3) are presented which ensure the existence of a spanning cubic subgraph in __G__. These conditions are best possible to within a small additive constant for every fixed rational __t__ β[1,4/3)βͺ[2,8/3). Β© 2003 Wiley
Toughness, minimum degree, and spanning cubic subgraphs
β Scribed by D. Bauer; T. Niessen; E. Schmeichel
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 197 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
The electronic version has been replaced with the correct figures; the corrected print version follows. The article originally posted in Wiley InterScience is available from the publisher should anyone require access to it. We regret any inconvenience this may have caused.
π SIMILAR VOLUMES
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## Abstract A graph __H__ is light in a given class of graphs if there is a constant __w__ such that every graph of the class which has a subgraph isomorphic to __H__ also has a subgraph isomorphic to __H__ whose sum of degrees in __G__ is β€β__w__. Let $\cal G$ be the class of simple planar graphs
## Abstract The __k__ βDegree constrained Minimum Spanning Tree Problem (__k__ βDMSTP) consists in finding a minimal cost spanning tree satisfying the condition that every node has a degree no greater than a fixed value __k__. Here we consider an extension where besides the edge costs, a concave co