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WG
2007
Springer
14 years 1 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...
ESA
2009
Springer
190views Algorithms» more  ESA 2009»
13 years 11 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
ISAAC
2010
Springer
230views Algorithms» more  ISAAC 2010»
13 years 5 months ago
Seidel Minor, Permutation Graphs and Combinatorial Properties
A permutation graph is an intersection graph of segments lying between two parallel lines. A Seidel complementation of a finite graph at a vertex v consists in complementing the ed...
Vincent Limouzy
MOBICOM
2006
ACM
14 years 1 months ago
On delivery guarantees of face and combined greedy-face routing in ad hoc and sensor networks
It was recently reported that all known face and combined greedy-face routing variants cannot guarantee message delivery in arbitrary undirected planar graphs. The purpose of this...
Hannes Frey, Ivan Stojmenovic
JGT
2010
158views more  JGT 2010»
13 years 6 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran