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» Characterizations and Linear Time Recognition of Helly Circu...
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103
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WG
2004
Springer
15 years 6 months ago
Treelike Comparability Graphs: Characterization, Recognition, and Applications
An undirected graph is a treelike comparability graph if it admits a transitive orientation such that its transitive reduction is a tree. We show that treelike comparability graphs...
Sabine Cornelsen, Gabriele Di Stefano
86
Voted
WG
2007
Springer
15 years 7 months ago
Characterization and Recognition of Digraphs of Bounded Kelly-width
Kelly-width is a parameter of directed graphs recently proposed by Hunter and Kreutzer as a directed analogue of treewidth. We give several alternative characterizations of direct...
Daniel Meister, Jan Arne Telle, Martin Vatshelle
102
Voted
WG
2010
Springer
14 years 11 months ago
From Path Graphs to Directed Path Graphs
We present a linear time algorithm to greedily orient the edges of a path graph model to obtain a directed path graph model (when possible). Moreover we extend this algorithm to fi...
Steven Chaplick, Marisa Gutierrez, Benjamin L&eacu...
103
Voted
COCOA
2008
Springer
15 years 2 months ago
Simplicial Powers of Graphs
In a finite simple undirected graph, a vertex is simplicial if its neighborhood is a clique. We say that, for k 2, a graph G = (VG, EG) is the k-simplicial power of a graph H = (V...
Andreas Brandstädt, Van Bang Le