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» Subdivisions of graphs: A generalization of paths and cycles
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CORR
2012
Springer
195views Education» more  CORR 2012»
12 years 1 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson
FSTTCS
2008
Springer
13 years 6 months ago
STCON in Directed Unique-Path Graphs
ABSTRACT. We study the problem of space-efficient polynomial-time algorithms for directed stconnectivity (STCON). Given a directed graph G, and a pair of vertices s, t, the STCON ...
Sampath Kannan, Sanjeev Khanna, Sudeepa Roy
DM
2000
150views more  DM 2000»
13 years 5 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West
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...
ICDM
2005
IEEE
142views Data Mining» more  ICDM 2005»
13 years 11 months ago
Shortest-Path Kernels on Graphs
Data mining algorithms are facing the challenge to deal with an increasing number of complex objects. For graph data, a whole toolbox of data mining algorithms becomes available b...
Karsten M. Borgwardt, Hans-Peter Kriegel