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» Intersection Graphs of Pseudosegments: Chordal Graphs
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DM
2002
107views more  DM 2002»
13 years 9 months ago
Edge clique graphs and some classes of chordal graphs
The edge clique graph of a graph G is one having as vertices the edges of G, two vertices being adjacent if the corresponding edges of G belong to a common clique. We describe cha...
Márcia R. Cerioli, Jayme Luiz Szwarcfiter
ESA
2009
Springer
190views Algorithms» more  ESA 2009»
14 years 1 months ago
Polynomial-Time Algorithm for the Leafage of Chordal Graphs
Every chordal graph G can be represented as the intersection graph of a collection of subtrees of a host tree, the so-called tree model of G. The leafage l(G) of a connected chorda...
Michel Habib, Juraj Stacho
DAM
2006
191views more  DAM 2006»
13 years 9 months ago
Approximating the minimum clique cover and other hard problems in subtree filament graphs
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
J. Mark Keil, Lorna Stewart
WADS
2009
Springer
281views Algorithms» more  WADS 2009»
14 years 4 months ago
The Simultaneous Representation Problem for Chordal, Comparability and Permutation Graphs
Abstract. We introduce the simultaneous representation problem, defined for any graph class C characterized in terms of representations, e.g. any class of intersection graphs. Two...
Krishnam Raju Jampani, Anna Lubiw
ICALP
2009
Springer
14 years 10 months ago
Elimination Graphs
A graph is chordal if it does not contain any induced cycle of size greater than three. An alternative characterization of chordal graphs is via a perfect elimination ordering, whi...
Yuli Ye, Allan Borodin