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ALGORITHMICA
2011
15 years 2 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick
ISAAC
2009
Springer
131views Algorithms» more  ISAAC 2009»
16 years 1 months ago
A Certifying Algorithm for 3-Colorability of P5-Free Graphs
We provide a certifying algorithm for the problem of deciding whether a P5-free graph is 3-colorable by showing there are exactly six finite graphs that are P5-free and not 3-colo...
Daniel Bruce, Chính T. Hoàng, Joe Sa...
FOCS
2005
IEEE
16 years 27 days ago
A Characterization of the (natural) Graph Properties Testable with One-Sided Error
The problem of characterizing all the testable graph properties is considered by many to be the most important open problem in the area of property-testing. Our main result in thi...
Noga Alon, Asaf Shapira
COCO
2004
Springer
93views Algorithms» more  COCO 2004»
16 years 20 days ago
Lower Bounds for Testing Bipartiteness in Dense Graphs
We consider the problem of testing bipartiteness in the adjacency matrix model. The best known algorithm, due to Alon and Krivelevich, distinguishes between bipartite graphs and g...
Andrej Bogdanov, Luca Trevisan
CIDM
2009
IEEE
15 years 11 months ago
Empirical comparison of graph classification algorithms
The graph classification problem is learning to classify separate, individual graphs in a graph database into two or more categories. A number of algorithms have been introduced fo...
Nikhil S. Ketkar, Lawrence B. Holder, Diane J. Coo...