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COMPGEOM
2010
ACM
15 years 4 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»
14 years 11 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
15 years 3 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»
14 years 10 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»
15 years 5 months 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