## 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
✦ LIBER ✦
List matrix partitions of chordal graphs
✍ Scribed by Tomás Feder; Pavol Hell; Sulamita Klein; Loana Tito Nogueira; Fábio Protti
- Book ID
- 108281110
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 265 KB
- Volume
- 349
- Category
- Article
- ISSN
- 0304-3975
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We consider the following generalization of split graphs: A graph is said to be a (k; ')-graph if its vertex set can be partitioned into k independent sets and ' cliques. (Split graphs are obtained by setting k = ' = 1.) Much of the appeal of split graphs is due to the fact that they are chordal, a