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» Consistent Cycles in Graphs and Digraphs
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98
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DM
2008
75views more  DM 2008»
15 years 1 months ago
Homogeneous factorisations of graph products
A homogeneous factorisation of a digraph consists of a partition P = {P1, . . . , Pk} of the arc set A and two vertex-transitive subgroups M G Aut() such that M fixes each Pi set...
Michael Giudici, Cai Heng Li, Primoz Potocnik, Che...
ALGORITHMICA
2008
83views more  ALGORITHMICA 2008»
15 years 2 months ago
Inferring (Biological) Signal Transduction Networks via Transitive Reductions of Directed Graphs
In this paper we consider the p-ary transitive reduction (TRp) problem where p > 0 is an integer; for p = 2 this problem arises in inferring a sparsest possible (biological) sig...
Réka Albert, Bhaskar DasGupta, Riccardo Don...
98
Voted
ARSCOM
2004
73views more  ARSCOM 2004»
15 years 1 months ago
2-Factors in Hamiltonian Graphs
We show that every hamiltonian claw-free graph with a vertex x of degree d(x) 7 has a 2-factor consisting of exactly two cycles.
Florian Pfender
FOCS
1994
IEEE
15 years 5 months ago
Finding the k Shortest Paths
We describe algorithms for finding the k shortest paths connecting a given pair of vertices in a digraph (allowing cycles). Our algorithms output an implicit representation of the...
David Eppstein
120
Voted
COMBINATORICS
2002
82views more  COMBINATORICS 2002»
15 years 1 months ago
The Directed Anti-Oberwolfach Solution: Pancyclic 2-Factorizations of Complete Directed Graphs of Odd Order
The directed anti-Oberwolfach problem asks for a 2-factorization (each factor has in-degree 1 and out-degree 1 for a total degree of two) of K2n+1, not with consistent cycle compo...
Brett Stevens