𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Separation and dimension in a graph

✍ Scribed by Francis Buekenhout


Publisher
Springer
Year
1979
Tongue
English
Weight
99 KB
Volume
8
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The rotational dimension of a graph
✍ Frank GΓΆring; Christoph Helmberg; Markus Wappler πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 195 KB
The frame dimension and the complete ove
✍ Jeffrey E. Steif πŸ“‚ Article πŸ“… 1985 πŸ› John Wiley and Sons 🌐 English βš– 715 KB

Roberts (F. S. Roberts, On the boxicity and cubicity of a graph. In Recent Progress in Cornbinarorics, W. T. Tutte, ed. Academic, New York (1 969)), studied the intersection graphs of closed boxes (products of closed intervals) in Euclidean n-space, and introduced the concept of the boxicity of a gr

The circular dimension of a graph
✍ Robert B. Feinberg πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 484 KB

A graph is a pair (V, I), V being the vertices and I being the relation of adjacency on V. Given a grqh G, then a collection of functions (fi}~ ,, each fi mapping each vertex of V into an arc on a fixed circle, is said to define an m-arc intersection model for G if for all x, y E V, xly e=, (Vi~ml(f

The partition dimension of a graph
✍ G. Chartrand; E. Salehi; P. Zhang πŸ“‚ Article πŸ“… 2000 πŸ› Springer 🌐 English βš– 317 KB
Separation, dimension, and facet
✍ Maren Martens; S. Thomas McCormick; Maurice Queyranne πŸ“‚ Article πŸ“… 2010 πŸ› Springer-Verlag 🌐 English βš– 628 KB
Separation index of a graph
✍ Andrew Vince πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 89 KB

## Abstract The concepts of __separation index__ of a graph and of a surface are introduced. We prove that the separation index of the sphere is 3. Also the separation index of any graph faithfully embedded in a surface of genus __g__ is bounded by a funtion of __g__. Β© 2002 Wiley Periodicals, Inc.