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Optimizing weakly triangulated graphs

✍ Scribed by Ryan Hayward; Chính T. Hoàng; Frédéric Maffray

Publisher
Springer Japan
Year
1990
Tongue
English
Weight
176 KB
Volume
6
Category
Article
ISSN
0911-0119

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📜 SIMILAR VOLUMES

Optimizing weakly triangulated graphs
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We show that a graph is weakly triangulated, or weakly chordal, if and only if it can be generated by starting with a graph with no edges, and repeatedly adding an edge, so that the new edge is not the middle edge of any chordless path with four vertices. This is a corollary of results due to Sritha

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A graph G is called triangulated (or rigid-circuit graph, or chordal graph) if every circuit of G with length greater than 3 has a chord. It can be shown (see, UI, . . . , u,, . Let G = G,.