The binding number of line graphs and total graphs
β Scribed by Akira Saito; Tian Songlin
- Book ID
- 110567497
- Publisher
- Springer Japan
- Year
- 1985
- Tongue
- English
- Weight
- 220 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We construct decompositions of L(K,,), M(K,,) and T(K,,) into the minimum number of line-disjoint spanning forests by applying the usual criterion for a graph to be eulerian. This gives a realization of the arboricity of each of these three graphs. ## 1. Preliminaries In this paper a graph is cons
## Abstract The concept of the line graph can be generalized as follows. The __k__βline graph __L__~__k__~(__G__) of a graph __G__ is defined as a graph whose vertices are the complete subgraphs on __k__ vertices in __G.__ Two distinct such complete subgraphs are adjacent in __L__~__k__~(__G__) if
## Abstract Sharp lower bounds for the point connectivity and line connectivity of the line graph __L(G__) and the total graph __T(G__) of a graph __G__ are determined. The lower bounds are expressed in terms of the point connectivity __k__, line connectivity Ξ», and minimum degree Ξ΄ of __G.__ It is