Reconfiguration graphs for vertex colourings of chordal and chordal bipartite graphs
✍ Scribed by Marthe Bonamy, Matthew Johnson, Ioannis Lignos…
- Book ID
- 120694155
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 447 KB
- Volume
- 27
- Category
- Article
- ISSN
- 1382-6905
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📜 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 A __k‐tree__ is a chordal graph with no (__k__ + 2)‐clique. An ℓ‐__tree‐partition__ of a graph __G__ is a vertex partition of __G__ into ‘bags,’ such that contracting each bag to a single vertex gives an ℓ‐tree (after deleting loops and replacing parallel edges by a single edge). We pro
## 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