𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Recognizing quasi-triangulated graphs

✍ Scribed by Jeremy P Spinrad


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
206 KB
Volume
138
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.

✦ Synopsis


This paper discusses a method for recognizing certain graph classes based on elimination schemes more e ciently. We reduce the time bound for recognizing quasi-triangulated graphs from O(n 3 ) to O(n 2:77 ), and perfect elimination bipartite and cop-win graphs from O(n 3 ) to O(n 3 =log n).


πŸ“œ SIMILAR VOLUMES


Generating weakly triangulated graphs
✍ Hayward, Ryan πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 192 KB πŸ‘ 2 views

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

Chromaticity of triangulated graphs
✍ Paul Vaderlind πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 159 KB

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,.

Recognizing decomposable graphs
✍ V. ChvΓ‘tal πŸ“‚ Article πŸ“… 1984 πŸ› John Wiley and Sons 🌐 English βš– 129 KB

## Abstract A graph is called decomposable if its vertices can be colored red and blue in such a way that each color appears on at least one vertex but each vertex v has at most one neighbor having a different color from v. We point out a simple and efficient algorithm for recognizing decomposable

Wing-triangulated graphs are perfect
✍ Hougardy, Stefan; Le, Van Bang; Wagler, Annegret πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 100 KB πŸ‘ 2 views

The wing-graph W (G) of a graph G has all edges of G as its vertices; two edges of G are adjacent in W (G) if they are the nonincident edges (called wings) of an induced path on four vertices in G. HoΓ ng conjectured that if W (G) has no induced cycle of odd length at least five, then G is perfect. A

More characterizations of triangulated g
✍ Claude Benzaken; Yves Crama; Pierre Duchet; Peter L. Hammer; FrΓ©dΓ©ric Maffray πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 420 KB

## Abstract New characterizations of triangulated and cotriangulated graphs are presented. Cotriangulated graphs form a natural subclass of the class of strongly perfect graphs, and they are also characterized in terms of the shellability of some associated collection of sets. Finally, the notion o