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» The Complexity of Graph Connectivity
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JCT
2006
64views more  JCT 2006»
13 years 7 months ago
Every 3-connected, essentially 11-connected line graph is Hamiltonian
Thomassen conjectured that every 4-connected line graph is hamiltonian. A vertex cut X of G is essential if G-X has at least two nontrivial components. We prove that every 3-conne...
Hong-Jian Lai, Yehong Shao, Hehui Wu, Ju Zhou
LCC
1994
213views Algorithms» more  LCC 1994»
13 years 11 months ago
Linear Constraint Query Languages: Expressive Power and Complexity
We give an AC0 upper bound on the complexity of rst-oder queries over (in nite) databases de ned by restricted linear constraints. This result enables us to deduce the non-expressi...
Stéphane Grumbach, Jianwen Su, Christophe T...
AIRWEB
2009
Springer
14 years 2 months ago
Tag spam creates large non-giant connected components
Spammers in social bookmarking systems try to mimick bookmarking behaviour of real users to gain the attention of other users or search engines. Several methods have been proposed...
Nicolas Neubauer, Robert Wetzker, Klaus Obermayer
JSC
2007
84views more  JSC 2007»
13 years 7 months ago
Simplicial cycles and the computation of simplicial trees
We generalize the concept of a cycle from graphs to simplicial complexes. We show that a simplicial cycle is either a sequence of facets connected in the shape of a circle, or is ...
Massimo Caboara, Sara Faridi, Peter Selinger
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 8 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine