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COMPGEOM
2010
ACM
13 years 11 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...
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
13 years 6 months ago
Approximating Maximum Weight Cycle Covers in Directed Graphs with Weights Zero and One
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
Markus Bläser, Bodo Manthey
FOCS
2004
IEEE
13 years 10 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
CORR
2010
Springer
58views Education» more  CORR 2010»
13 years 5 months ago
Realizable Paths and the NL vs L Problem
A celebrated theorem of Savitch [Sav70] states that NSPACE(S) ⊆ DSPACE(S2 ). In particular, Savitch gave a deterministic algorithm to solve ST-CONNECTIVITY (an NL-complete probl...
Shiva Kintali
SETA
2004
Springer
93views Mathematics» more  SETA 2004»
14 years 2 days ago
Spectral Orbits and Peak-to-Average Power Ratio of Boolean Functions with Respect to the {I, H, N}n Transform
We enumerate the inequivalent self-dual additive codes over GF(4) of blocklength n, thereby extending the sequence A090899 in The On-Line Encyclopedia of Integer Sequences from n =...
Lars Eirik Danielsen, Matthew G. Parker