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» The Complexity of Graph Connectivity
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CORR
2006
Springer
78views Education» more  CORR 2006»
13 years 10 months ago
What is the probability of connecting two points ?
The two-terminal reliability, known as the pair connectedness or connectivity function in percolation theory, may actually be expressed as a product of transfer matrices in which t...
Christian Tanguy
CIE
2006
Springer
14 years 2 months ago
On Graph Isomorphism for Restricted Graph Classes
Abstract. Graph isomorphism (GI) is one of the few remaining problems in NP whose complexity status couldn't be solved by classifying it as being either NP-complete or solvabl...
Johannes Köbler
FCT
2009
Springer
14 years 5 months ago
Directed Graphs of Entanglement Two
Entanglement is a complexity measure for directed graphs that was used to show that the variable hierarchy of the propositional modal µ-calculus is strict. While graphs of entangl...
Erich Grädel, Lukasz Kaiser, Roman Rabinovich
JGT
2006
98views more  JGT 2006»
13 years 10 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
STOC
2009
ACM
167views Algorithms» more  STOC 2009»
14 years 11 months ago
On the complexity of communication complexity
We consider the following question: given a two-argument boolean function f, represented as an N ? N binary matrix, how hard is to determine the (deterministic) communication comp...
Eyal Kushilevitz, Enav Weinreb