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» Directed Graphs Without Short Cycles
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DM
2007
86views more  DM 2007»
13 years 5 months ago
Short cycle connectivity
Short cycle connectivity is a generalization of ordinary connectivity—two vertices have to be connected by a sequence of short cycles, in which two consecutive cycles have at le...
Vladimir Batagelj, Matjaz Zaversnik
CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 5 months ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin
IPPS
2007
IEEE
13 years 11 months ago
Minimum number of wavelengths equals load in a DAG without internal cycle
Let P be a family of dipaths. The load of an arc is the number of dipaths containing this arc. Let π(G, P) be the maximum of the load of all the arcs and let w(G, P) be the minim...
Jean-Claude Bermond, Michel Cosnard
COMPGEOM
2010
ACM
13 years 10 months 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...
IACR
2011
104views more  IACR 2011»
12 years 5 months ago
Short Transitive Signatures for Directed Trees
A transitive signature scheme allows to sign a graph in such a way that, given the signatures of edges (a, b) and (b, c), it is possible to compute the signature for the edge (or ...
Philippe Camacho, Alejandro Hevia