Algorithms for generating labelled graphs with given degree
β Scribed by V. Fack; J. Van der Jeugt
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 605 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The (__d__,1)βtotal number $\lambda \_{d}^{T}(G)$ of a graph __G__ is the width of the smallest range of integers that suffices to label the vertices and the edges of __G__ so that no two adjacent vertices have the same color, no two incident edges have the same color, and the distance
This paper considers the (A, 0 ) problem: to maximize the order of graphs with given maximum degree A and diameter 0, of importance for its implications in the design of interconnection networks. Two cubic graphs of diameters 5 and 8 and orders 70 and 286, respectively, and a graph of degree 5, diam
W e give constructions of bipartite graphs with maximum A, diameter D on B vertices. such :bat for every D 3 2 :he !im i nf , . . , B . A'"' = b,, > 0. W e also improve similar results on ordinary graphs, for example, w e prove that lim, , , N -A-." = 1 if D is 3 or 5. This is a partial answer to a