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The Decomposition Dimension of Graphs

✍ 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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πŸ“œ SIMILAR VOLUMES


The dimension of sums of graphs
✍ Peter Alles πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 235 KB

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

Split dimension of graphs
✍ Arkady A. Chernyak; Zhanna A. Chernyak πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 380 KB

## Chernyak, A.A. and Z.A. Chernyak, Split dimension of graphs, Discrete Mathematics 89 (1991) l-6.

Decomposition of graphs
✍ R. I. Tyshkevich; A. A. Chernyak πŸ“‚ Article πŸ“… 1985 πŸ› Springer US 🌐 English βš– 794 KB
Curvature dimension of trivalent graphs
✍ Kazushiro Kobayashi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 422 KB

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

Resolvability and the upper dimension of
✍ G. Chartrand; C. Poisson; P. Zhang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 832 KB

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