Hard graphs for the maximum clique problem
โ Scribed by Cornelis Hoede
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 299 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Denote the number of vertices of G by ]G[. A clique of graph G is a maximal complete subgraph. The density oJ(G) is the number of vertices in the largest clique of G. If ยขo(G)>~ยฝ ]GI, then G has at most 2 tยฐl-'cG) cliques. The extremal graphs are then examined as wen. ## Terminology We will be co
Let F = { I , , 12,. . . , Z,,} be a finite family of closed intervals on the real line. Two intervals 4 and Ik in F are said to overlap each other if they intersect but neither one of them contains the other. A graph G = (V, E) is called an overlap graph for F if there is a one-to-one correspondenc
## Abstract Consider a family of chords in a circle. A circle graph is obtained by representing each chord by a vertex, two vertices being connected by an edge when the corresponding chords intersect. In this paper, we describe efficient algorithms for finding a maximum clique and a maximum indepen