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CORR
2008
Springer
112views Education» more  CORR 2008»
15 years 4 months ago
Compact Labelings For Efficient First-Order Model-Checking
We consider graph properties that can be checked from labels, i.e., bit sequences, of logarithmic length attached to vertices. We prove that there exists such a labeling for check...
Bruno Courcelle, Cyril Gavoille, Mamadou Moustapha...
EJC
2010
15 years 4 months ago
A short proof of a theorem of Bang and Koolen
Let a graph be locally disjoint union of three copies of complete graphs Kq-1 and let be cospectral with the Hamming graph H(3, q). Bang and Koolen [Asian-Eur. J. Math. 1 (2008),...
A. Mohammadian, Behruz Tayfeh-Rezaie
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
15 years 6 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
CORR
2008
Springer
90views Education» more  CORR 2008»
15 years 4 months ago
Communication-Efficient Construction of the Plane Localized Delaunay Graph
Let V be a finite set of points in the plane. We present a 2-local algorithm that constructs a plane 4 3 9 -spanner of the unit-disk graph UDG(V ). This algorithm makes only one ...
Prosenjit Bose, Paz Carmi, Michiel H. M. Smid, Dam...
183
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FOCS
2006
IEEE
15 years 10 months ago
Local Graph Partitioning using PageRank Vectors
A local graph partitioning algorithm finds a cut near a specified starting vertex, with a running time that depends largely on the size of the small side of the cut, rather than...
Reid Andersen, Fan R. K. Chung, Kevin J. Lang