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» On Graph Isomorphism for Restricted Graph Classes
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FOCS
2007
IEEE
15 years 6 months ago
Can you beat treewidth?
: It is well-known that constraint satisfaction problems (CSP) over an unbounded domain can be solved in time nO(k) if the treewidth of the primal graph of the instance is at most ...
Dániel Marx
77
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CSL
2007
Springer
15 years 5 months ago
The Power of Counting Logics on Restricted Classes of Finite Structures
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
Anuj Dawar, David Richerby
105
Voted
LICS
2010
IEEE
14 years 9 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
77
Voted
WG
2007
Springer
15 years 5 months ago
NLC-2 Graph Recognition and Isomorphism
NLC-width is a variant of clique-width with many application in graph algorithmic. This paper is devoted to graphs of NLC-width two. After giving new structural properties of the ...
Vincent Limouzy, Fabien de Montgolfier, Michaë...
111
Voted
FOCS
2002
IEEE
15 years 4 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