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» Characterizations and Linear Time Recognition of Helly Circu...
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WG
2004
Springer
13 years 10 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
WG
2007
Springer
13 years 11 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
WG
2010
Springer
13 years 3 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...
COCOA
2008
Springer
13 years 7 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