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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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📜 SIMILAR VOLUMES


Vertex partitions of chordal graphs
✍ David R. Wood 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 103 KB

## 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

Partitioning Chordal Graphs
✍ Tomás Feder; Pavol Hell; Shekoofeh Nekooei Rizi 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 182 KB
Matrix Completions and Chordal Graphs
✍ Kenneth John Harrison 📂 Article 📅 2003 🏛 Institute of Mathematics, Chinese Academy of Scien 🌐 English ⚖ 237 KB
Partitioning chordal graphs into indepen
✍ Pavol Hell; Sulamita Klein; Loana Tito Nogueira; Fábio Protti 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 217 KB

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