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» On the Hardness of Graph Isomorphism
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FOCS
2002
IEEE
13 years 10 months ago
Graph Isomorphism is in SPP
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
Vikraman Arvind, Piyush P. Kurur
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
ISAAC
2010
Springer
277views Algorithms» more  ISAAC 2010»
13 years 3 months ago
Induced Subgraph Isomorphism on Interval and Proper Interval Graphs
The Induced Subgraph Isomorphism problem on two input graphs G and H is to decide whether G has an induced subgraph isomorphic to H. Already for the restricted case where H is a c...
Pinar Heggernes, Daniel Meister, Yngve Villanger
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
13 years 11 months ago
Limitations of quantum coset states for graph isomorphism
It has been known for some time that graph isomorphism reduces to the hidden subgroup problem (HSP). What is more, most exponential speedups in quantum computation are obtained by...
Sean Hallgren, Cristopher Moore, Martin Rötte...
COCO
2009
Springer
105views Algorithms» more  COCO 2009»
13 years 12 months ago
Planar Graph Isomorphism is in Log-Space
Graph Isomorphism is the prime example of a computational problem with a wide difference between the best known lower and upper bounds on its complexity. There is a significant ...
Samir Datta, Nutan Limaye, Prajakta Nimbhorkar, Th...