scholarly journals Structural results on circular-arc graphs and circle graphs: A survey and the main open problems

2014 ◽  
Vol 164 ◽  
pp. 427-443 ◽  
Author(s):  
Guillermo Durán ◽  
Luciano N. Grippo ◽  
Martín D. Safe
Keyword(s):  
Open Problems ◽  
Circle Graphs ◽  
Circular Arc ◽  
Circular Arc Graphs

scholarly journals Graphs of low chordality

2005 ◽  
Vol Vol. 7 ◽  
Author(s):  
Sunil Chandran ◽  
Vadim V. Lozin ◽  
C.R. Subramanian
Keyword(s):  
Chordal Graphs ◽  
Circle Graphs ◽  
Circular Arc ◽  
International Audience ◽  
Circular Arc Graphs

International audience 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.

Surjective L (2, 1)-labeling of cycles and circular-arc graphs

2018 ◽  
Vol 35 (1) ◽  
pp. 739-748 ◽  
Author(s):  
Sk. Amanathulla ◽  
Madhumangal Pal
Keyword(s):  
Circular Arc ◽  
Circular Arc Graphs

An $O(n^2 )$ Algorithm for Coloring Proper Circular Arc Graphs

1981 ◽  
Vol 2 (2) ◽  
pp. 88-93 ◽  
Author(s):  
James B. Orlin ◽  
Maurizio A. Bonuccelli ◽  
Daniel P. Bovet
Keyword(s):  
Circular Arc ◽  
Circular Arc Graphs ◽  
Proper Circular Arc Graphs

scholarly journals The Chromatic Index of Proper Circular-arc Graphs of Odd Maximum Degree which are Chordal

2019 ◽  
Vol 346 ◽  
pp. 125-133
Author(s):  
João Pedro W. Bernardi ◽  
Murilo V.G. da Silva ◽  
André Luiz P. Guedes ◽  
Leandro M. Zatesko
Keyword(s):  
Maximum Degree ◽  
Chromatic Index ◽  
Circular Arc ◽  
Circular Arc Graphs ◽  
Proper Circular Arc Graphs
Sign in / Sign up

Export Citation Format

Share Document