Clique Graphs of Chordal and Path Graphs
โ Scribed by Szwarcfiter, Jayme L.; Bornstein, Claudson F.
- Book ID
- 118197240
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1994
- Tongue
- English
- Weight
- 739 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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^nโ1^(__G__)) and __K__^1^(__G__) = __K__(__G__). Let the diameter diam(__G__) be the greatest distance between
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A chordal graph has a dominating clique iff it has diameter at most 3. A strongly chordal graph which has a dominating clique has one as small as the smallest dominating set-and, furthermore, there is a linear-time algorithm to find such a small dominating clique.