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» Quantum Query Complexity of Some Graph Problems
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FOCS
2003
IEEE
14 years 3 months ago
The Complexity of Homomorphism and Constraint Satisfaction Problems Seen from the Other Side
We give a complexity theoretic classification of homomorphism problems for graphs and, more generally, relational structures obtained by restricting the left hand side structure ...
Martin Grohe
TOC
2010
147views Management» more  TOC 2010»
13 years 4 months ago
Quantum Expanders: Motivation and Construction
: We define quantum expanders in a natural way and give two constructions of quantum expanders, both based on classical expander constructions. The first construction is algebraic,...
Avraham Ben-Aroya, Oded Schwartz, Amnon Ta-Shma
DAM
2006
116views more  DAM 2006»
13 years 9 months ago
Using graphs for some discrete tomography problems
Given a rectangular array where entries represent the pixels of a digitalized image, we consider the problem of reconstructing an image from the number of occurrences of each colo...
Marie-Christine Costa, Dominique de Werra, Christo...
COCOON
2007
Springer
14 years 4 months ago
On the Complexity of Finding an Unknown Cut Via Vertex Queries
We investigate the problem of finding an unknown cut through querying vertices of a graph G. Our complexity measure is the number of submitted queries. To avoid some worst cases, ...
Peyman Afshani, Ehsan Chiniforooshan, Reza Dorrigi...
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
14 years 3 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...