Let IGI be the number of vertices of a graph G and to(G) be the density of G. We call a graph G packed if the clique graph K(G) of G has exactly 2 IGI-O'(G) cliques. We correct the characterization of clique graphs of packed graphs given in Theorem 3.2 of Hedman [3]. All graphs considered here are f
Clique-gated graphs
✍ Scribed by Johann Hagauer; Sandi Klavẑar
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 345 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
Clique-gated graphs form an extension of quasi-median graphs. Two characterizations of these graphs are given and some other structural properties are obtained. An O(nm) algorithm is presented which recognizes clique-gated graphs. Here n and m denote the numbers of vertices and edges of a given graph, respectively.
📜 SIMILAR VOLUMES
For each natural number n, denote by G(n) the set of all numbers c such that there exists a graph with exactly c cliques (i.e., complete subgraphs) and n vertices. We prove the asymptotic estimate Ia(n)l = 0(2"n -z/5) and show that all natural numbers between n + 1 and 2 "-6"5~6 belong to G(n). Thus
## Abstract We study the squares and the clique graphs of chordal graphs and various special classes of chordal graphs. Chordality conditions for squares and clique graphs are given. Several theorems concering chordal graphs are generalized. © 1996 John Wiley & Sons, Inc.
We define a family of graphs. tailed the clique sepambk graphs. characterized by the fact that they have completely connected rut sets by which we decompose them into r)arts such that when no further decomposition is possible we have a set of simple subgraphs. For example the chordal gmphs and the i
## Abstract The clique graph __K__(__G__) of a graph is the intersection graph of maximal cliques of __G.__ The iterated clique graph __K__^__n__^(__G__) is inductively defined as __K__(K^n−1^(__G__)) and __K__^1^(__G__) = __K__(__G__). Let the diameter diam(__G__) be the greatest distance between