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DAM
2006
97views more  DAM 2006»
13 years 7 months ago
Fully dynamic recognition algorithm and certificate for directed cographs
This paper presents an optimal fully dynamic recognition algorithm for directed cographs. Given the modular decomposition tree of a directed cograph G, the algorithm supports arc ...
Christophe Crespelle, Christophe Paul
DM
2006
121views more  DM 2006»
13 years 7 months ago
The acircuitic directed star arboricity of subcubic graphs is at most four
A directed star forest is a forest all of whose components are stars with arcs emanating from the center to the leaves. The acircuitic directed star arboricity of an oriented grap...
Alexandre Pinlou, Eric Sopena
IPL
2008
169views more  IPL 2008»
13 years 7 months ago
Oriented colorings of partial 2-trees
A homomorphism from an oriented graph G to an oriented graph H is an arc-preserving mapping f from V(G) to V(H), that is f(x)f(y) is an arc in H whenever xy is an arc in G. The or...
Pascal Ochem, Alexandre Pinlou
DAM
2008
140views more  DAM 2008»
13 years 7 months ago
The minimum spanning strong subdigraph problem is fixed parameter tractable
A digraph D is strong if it contains a directed path from x to y for every choice of vertices x, y in D. We consider the problem (MSSS) of finding the minimum number of arcs in a ...
Jørgen Bang-Jensen, Anders Yeo
INFORMS
2008
55views more  INFORMS 2008»
13 years 7 months ago
Mathematical Programming Algorithms for Two-Path Routing Problems with Reliability Considerations
Most traditional routing problems assume perfect operability of all arcs and nodes. However, when independent arc failure probabilities exist, a secondary objective must be presen...
April K. Andreas, J. Cole Smith