Minimal decompositions of graphs into mutually isomorphic subgraphs
✍ Scribed by F. R. K. Chung; P. Erdős; R. L. Graham
- Book ID
- 110564225
- Publisher
- Springer-Verlag
- Year
- 1981
- Tongue
- English
- Weight
- 401 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract A graph has the neighbor‐closed‐co‐neighbor, or ncc property, if for each of its vertices __x__, the subgraph induced by the neighbor set of __x__ is isomorphic to the subgraph induced by the closed non‐neighbor set of __x__. As proved by Bonato and Nowakowski [5], graphs with the ncc p
## An emhdding of graph G into graph N is by definition an isomorphism OI G onto a subgraph of H. It is shown in this paper that every unicycle V embeds in its line-graph L(V), and that every other connected graph that embeds in its own line-graph may be constructed from such an embedded unicycle
If G is a graph on n vertices and r 2 2, w e let m,(G) denote the minimum number of complete multipartite subgraphs, with r or fewer parts, needed to partition the edge set, f(G). In determining m,(G), w e may assume that no two vertices of G have the same neighbor set. For such reduced graphs G, w