Graph equations for line graphs, total graphs, middle graphs and quasi-total graphs
β Scribed by D.V.S Sastry; B.Syam Prasad Raju
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 219 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0012-365X
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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 A graph __G__ is a quasiβline graph if for every vertex __v__, the set of neighbors of __v__ can be expressed as the union of two cliques. The class of quasiβline graphs is a proper superset of the class of line graphs. A theorem of Shannon's implies that if __G__ is a line graph, then