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» On the Hardness of Graph Isomorphism
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CORR
2010
Springer
90views Education» more  CORR 2010»
15 years 5 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
EUROCRYPT
2006
Springer
15 years 9 months ago
Polynomial Equivalence Problems: Algorithmic and Theoretical Aspects
The Isomorphism of Polynomials (IP) [28], which is the main concern of this paper, originally corresponds to the problem of recovering the secret key of a C scheme [26]. Besides, t...
Jean-Charles Faugère, Ludovic Perret
ECCC
2011
205views ECommerce» more  ECCC 2011»
15 years 18 days ago
Graphs of Bounded Treewidth can be Canonized in AC1
In recent results the complexity of isomorphism testing on graphs of bounded treewidth is improved to TC1 [GV06] and further to LogCFL [DTW10]. The computation of canonical forms ...
Fabian Wagner
TAMC
2009
Springer
16 years 4 days ago
Approximation and Hardness Results for Label Cut and Related Problems
We investigate a natural combinatorial optimization problem called the Label Cut problem. Given an input graph G with a source s and a sink t, the edges of G are classified into ...
Peng Zhang, Jin-yi Cai, Linqing Tang, Wenbo Zhao
IWPEC
2009
Springer
16 years 5 days ago
Planar Capacitated Dominating Set Is W[1]-Hard
Given a graph G together with a capacity function c : V (G) → N, we call S ⊆ V (G) a capacitated dominating set if there exists a mapping f : (V (G) \ S) → S which maps every...
Hans L. Bodlaender, Daniel Lokshtanov, Eelko Penni...