## Abstract The Erdős‐Rényi and Projective Norm graphs are algebraically defined graphs that have proved useful in supplying constructions in extremal graph theory and Ramsey theory. Their eigenvalues have been computed and this yields an upper bound on their independence number. Here we show that
On some partial line graphs of a hypergraph and the associated matroid
✍ Scribed by Philippe Jégou; Marie-Catherine Vilarem
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 753 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
Jegou, P. and M.-C. Vilarem, On some partial line graphs of a hypergraph and the associated matroid, Discrete Mathematics 111 (1993) 3333344.
In this paper, we define for a hypergraph H =(X, G) a class of partial graphs of its line graph CR(H);
📜 SIMILAR VOLUMES
## Abstract Let λ(__G__) be the line‐distinguishing chromatic number and __x__′(__G__) the chromatic index of a graph __G__. We prove the relation λ(__G__) ≥ __x__′(__G__), conjectured by Harary and Plantholt. © 1993 John Wiley & Sons, Inc.
Let G be a line graph. Orlin determined the clique covering and clique partition numbers cc(G) and cp(G). We obtain a constructive proof of Orlin's result and in doing so we are able to completely enumerate the number of distinct minimal clique covers and partitions of G, in terms of easily calculab