Chordal Bipartite Graphs with High Boxicity
β Scribed by L. Sunil Chandran; Mathew C. Francis; Rogers Mathew
- Publisher
- Springer Japan
- Year
- 2011
- Tongue
- English
- Weight
- 186 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0911-0119
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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
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