The Decomposition Dimension of Graphs
β Scribed by Gary Chartrand; David Erwin; Michael Raines; Ping Zhang
- Publisher
- Springer Japan
- Year
- 2001
- Tongue
- English
- Weight
- 100 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
For a graph G, dim G is defined to be the least natural number n such that G is an induced subgraph of a categorial (or direct) product of n complete graphs. The dimension of sums of graphs has been studied in [3] and [8]. The aim if this article is to improve the upper estimates achieved by Poljak
## Chernyak, A.A. and Z.A. Chernyak, Split dimension of graphs, Discrete Mathematics 89 (1991) l-6.
In this paper we show that the curvature dimension, recently defined by Taniyama [5], of connected trivalent graphs in Euclidean space equals two in the case of bridgeless graphs and one for graphs having one or two bridges. We also show that there exists a connected trivalent graph in Euclidean spa
For an ordered set W = (~1, ~2,. , wk} of vertices and a vertex 2) in a connected graph G, the (metric) representation of v with respect to W is the /c-vector T(V 1 W) = (d(v,wl), d(v, wz), , d(v, wk)), where d(z, y) represents the distance between the vertices z and y. The set IV is a resolving set