# Discrete Mathematics & Theoretical Computer Science

## Volume 7 n° 1 (2005), pp. 25-36

author: | L. Sunil Chandran and Vadim V. Lozin and C.R. Subramanian |
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title: | Graphs of low chordality |

keywords: | induced cycles, chordality |

abstract: | The chordality of a graph with at least one cycle is the length of the longest induced cycle in it. The odd (even) chordality
is defined to be the length of the longest induced odd (even) cycle in
it. Chordal graphs have chordality at most 3. We show that
co-circular-arc graphs and co-circle graphs have even chordality at
most 4. We also identify few other classes of graphs having bounded
(by a constant) chordality values.
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reference: | L. Sunil Chandran and Vadim V. Lozin and C.R. Subramanian (2005),
Graphs of low chordality,
Discrete Mathematics and Theoretical Computer Science 7, pp. 25-36 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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Automatically produced on Sat Apr 2 17:27:48 CEST 2005 by falk