Clique Planar Graphs
✍ Scribed by Liliana Alcón; Marisa Gutierrez
- Book ID
- 104444243
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 278 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
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By generalizing the idea of extended triangle of a graph, we succeed in obtaining a common framework for the result of Roberts and Spencer about clique graphs and the one of Szwarcÿter about Helly graphs. We characterize Helly and 3-Helly planar graphs using extended triangles. We prove that if a pl
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 grap