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FAW
2010
Springer
217views Algorithms» more  FAW 2010»
13 years 6 months ago
Path Separability of Graphs
In this paper we investigate the structural properties of k-path separable graphs, that are the graphs that can be separated by a set of k shortest paths. We identify several grap...
Emilie Diot, Cyril Gavoille
CORR
2010
Springer
180views Education» more  CORR 2010»
13 years 5 months ago
Shortest path problem in rectangular complexes of global nonpositive curvature
Abstract. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
Victor Chepoi, Daniela Maftuleac
COMPGEOM
2010
ACM
14 years 20 days ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...
SIROCCO
1998
13 years 9 months ago
Characterization results of all shortest paths interval routing schemes
We give complete characterizations of the classes of graphs with uniform cost links which admit optimum all shortest paths 1 ? SLIRS (Strict Linear Interval Routing Schemes) and 1...
Michele Flammini, Giorgio Gambosi, Umberto Nanni, ...
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 7 months ago
The Complexity of Finding Reset Words in Finite Automata
We study several problems related to finding reset words in deterministic finite automata. In particular, we establish that the problem of deciding whether a shortest reset word ha...
Jörg Olschewski, Michael Ummels