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» On cliques of Helly Circular-arc Graphs
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WG
2007
Springer
13 years 11 months ago
Proper Helly Circular-Arc Graphs
A circular-arc model M = (C, A) is a circle C together with a collection A of arcs of C. If no arc is contained in any other then M is a proper circular-arc model, if every arc has...
Min Chih Lin, Francisco J. Soulignac, Jayme Luiz S...
COCOON
2006
Springer
13 years 9 months ago
Characterizations and Linear Time Recognition of Helly Circular-Arc Graphs
Abstract. A circular-arc model (C, A) is a circle C together with a collection A of arcs of C. If A satisfies the Helly Property then (C, A) is a Helly circular-arc model. A (Helly...
Min Chih Lin, Jayme Luiz Szwarcfiter
ENDM
2008
90views more  ENDM 2008»
13 years 5 months ago
On cliques of Helly Circular-arc Graphs
A circular-arc graph is the intersection graph of a set of arcs on the circle. It is a Helly circular-arc graph if it has a Helly model, where every maximal clique is the set of a...
Min Chih Lin, Ross M. McConnell, Francisco J. Soul...
WG
2007
Springer
13 years 11 months ago
Pathwidth of Circular-Arc Graphs
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. Although pathwidth is a well-known and well-studied graph parameter, t...
Karol Suchan, Ioan Todinca
IPL
2007
94views more  IPL 2007»
13 years 4 months ago
A note on the Hadwiger number of circular arc graphs
Abstract. The intention of this note is to motivate the researchers to study Hadwiger’s conjecture for circular arc graphs. Let η(G) denote the largest clique minor of a graph G...
N. S. Narayanaswamy, Naveen Belkale, L. Sunil Chan...