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» Graph Isomorphism is in SPP
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TGC
2010
Springer
13 years 3 months ago
An Algebra of Hierarchical Graphs
We define an algebraic theory of hierarchical graphs, whose axioms characterise graph isomorphism: two terms are equated exactly when they represent the same graph. Our algebra can...
Roberto Bruni, Fabio Gadducci, Alberto Lluch-Lafue...
CONSTRAINTS
2010
110views more  CONSTRAINTS 2010»
13 years 2 months ago
Solving subgraph isomorphism problems with constraint programming
The subgraph isomorphism problem consists in deciding if there exists a copy of a pattern graph in a target graph. We introduce in this paper a global constraint and an associated ...
Stéphane Zampelli, Yves Deville, Christine ...
CORR
2008
Springer
123views Education» more  CORR 2008»
13 years 5 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
LICS
2010
IEEE
13 years 3 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe
MST
2011
231views Hardware» more  MST 2011»
12 years 8 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