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» On Directed Triangles in Digraphs
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GC
2008
Springer
13 years 7 months ago
Almost Given Length Cycles in Digraphs
For a directed graph G without loops or parallel edges, let (G) denote the size of the smallest feedback arc set, i.e., the smallest subset X E(G) such that G \ X has no directed...
Raphael Yuster
WG
2009
Springer
14 years 1 months ago
Chordal Digraphs
Chordal graphs, also called triangulated graphs, are important in algorithmic graph theory. In this paper we generalise the definition of chordal graphs to the class of directed ...
Daniel Meister, Jan Arne Telle
GC
2007
Springer
13 years 7 months ago
Consistent Cycles in Graphs and Digraphs
Let Γ be a finite digraph and let G be a subgroup of the automorphism group of Γ. A directed cycle C of Γ is called G-consistent whenever there is an element of G whose restri...
Stefko Miklavic, Primoz Potocnik, Steve Wilson
AAIM
2009
Springer
105views Algorithms» more  AAIM 2009»
14 years 2 months ago
On Acyclicity of Games with Cycles
We study restricted improvement cycles (ri-cycles) in finite positional n-person games with perfect information modeled by directed graphs (digraphs) that may contain cycles. We o...
Daniel Andersson, Vladimir Gurvich, Thomas Dueholm...
CORR
2004
Springer
83views Education» more  CORR 2004»
13 years 7 months ago
Generating connected acyclic digraphs uniformly at random
We describe a simple algorithm based on a Markov chain process to generate simply connected acyclic directed graphs over a fixed set of vertices. This algorithm is an extension of...
Guy Melançon, Fabrice Philippe