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» Intersection Graphs of Pseudosegments: Chordal Graphs
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DM
2002
107views more  DM 2002»
13 years 5 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»
13 years 9 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 5 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»
13 years 12 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 5 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