Strongly chordal and chordal bipartite graphs are
β Scribed by Pinar Heggernes; Federico Mancini; Charis Papadopoulos; R. Sritharan
- Publisher
- Springer US
- Year
- 2010
- Tongue
- English
- Weight
- 634 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1382-6905
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π SIMILAR VOLUMES
Chordal bipartite graphs are exactly those bipartite graphs in which every cycle of length at least six has a chord. The treewidth of a graph \(G\) is the smallest maximum cliquesize among all chordal supergraphs of \(G\) decreased by one. We present a polynomial time algorithm for the exact computa
## Abstract We define two types of bipartite graphs, chordal bipartite graphs and perfect elimination bipartite graphs, and prove theorems analogous to those of Dirac and Rose for chordal graphs (rigid circuit graphs, triangulated graphs). Our results are applicable to Gaussian elimination on spars
Chordal graphs are graphs with the property that each cycle of length greater than 3 has two non-consecutive vertices that are joined by an edge. An important subclass of chordal graphs are strongly chordal graphs (Farber, 1983). Chordal graphs appear for example in the design of acyclic data base s
The main result of this paper is the NP-completeness of the HAMILTONIAN CIRCUIT problem for chordal bipartite graphs. This is proved by a sophisticated reduction from SATISFIABILITY. As a corollary, HAMILTONIAN CIRCUIT is NP-complete for strongly chordal split graphs. On both classes the complexity