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MST
2011
231views Hardware» more  MST 2011»
12 years 7 months ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
CORR
2008
Springer
123views Education» more  CORR 2008»
13 years 4 months ago
On the graph isomorphism problem
We relate the graph isomorphism problem to the solvability of certain systems of linear equations and linear inequalities. The number of these equations and inequalities is relate...
Shmuel Friedland
ALENEX
2007
105views Algorithms» more  ALENEX 2007»
13 years 6 months ago
ScrewBox: a Randomized Certifying Graph-Non-Isomorphism Algorithm
We present a novel randomized approach to the graph isomorphism problem. Our algorithm aims at solving difficult instances by producing randomized certificates for non-isomorphis...
Martin Kutz, Pascal Schweitzer
STACS
1987
Springer
13 years 8 months ago
Graph Isomorphism is in the Low Hierarchy
It is shown that the graph isomorphism problem is located in the low hierarchy in NP. This implies that this problem is not NPcomplete (not even under weaker forms of polynomial-ti...
Uwe Schöning
STACS
1992
Springer
13 years 8 months ago
Graph Isomorphism is Low for PP
We show that the graph isomorphism problem is low for PP and for C=P, i.e., it does not provide a PP or C=P computation with any additional power when used as an oracle. Furthermor...
Johannes Köbler, Uwe Schöning, Jacobo To...
FOCS
2000
IEEE
13 years 9 months ago
On the Hardness of Graph Isomorphism
We show that the graph isomorphism problem is hard under DLOGTIME uniform AC0 many-one reductions for the complexity classes NL, PL (probabilistic logarithmic space) for every loga...
Jacobo Torán
ISAAC
2004
Springer
153views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Canonical Data Structure for Interval Probe Graphs
The class of interval probe graphs is introduced to deal with the physical mapping and sequencing of DNA as a generalization of interval graphs. The polynomial time recognition al...
Ryuhei Uehara
GG
2004
Springer
13 years 10 months ago
Embedding in Switching Classes with Skew Gains
Abstract. In the context of graph transformation we look at the operation of switching, which can be viewed as an elegant method for realizing global transformations of (group-labe...
Andrzej Ehrenfeucht, Jurriaan Hage, Tero Harju, Gr...
STACS
2010
Springer
13 years 11 months ago
Restricted Space Algorithms for Isomorphism on Bounded Treewidth Graphs
The Graph Isomorphism problem restricted to graphs of bounded treewidth or bounded tree distance width are known to be solvable in polynomial time [2],[19]. We give restricted spa...
Bireswar Das, Jacobo Torán, Fabian Wagner