Chandran, Sunil, and Lozin, Vadim V. and Subramanian, C.R. - Graphs of low chordality

dmtcs:343 - Discrete Mathematics & Theoretical Computer Science, January 1, 2005, Vol. 7
Graphs of low chordality

Authors: Chandran, Sunil, and Lozin, Vadim V. and Subramanian, C.R.

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.


Volume: Vol. 7
Published on: January 1, 2005
Submitted on: March 26, 2015
Keywords: induced cycles,chordality,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


Share

Consultation statistics

This page has been seen 95 times.
This article's PDF has been downloaded 86 times.