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ICALP
2010
Springer
15 years 8 months ago
Testing 2-Vertex Connectivity and Computing Pairs of Vertex-Disjoint s-t Paths in Digraphs
We present an O(m + n)-time algorithm that tests if a given directed graph is 2-vertex connected, where m is the number of arcs and n is the number of vertices. Based on this resul...
Loukas Georgiadis
CG
2008
Springer
15 years 6 months ago
About the Completeness of Depth-First Proof-Number Search
Abstract. Depth-first proof-number (df-pn) search is a powerful member of the family of algorithms based on proof and disproof numbers. While df-pn has succeeded in practice, its t...
Akihiro Kishimoto, Martin Müller 0003
ICALP
2003
Springer
15 years 9 months ago
Similarity Matrices for Pairs of Graphs
Abstract. We introduce a concept of similarity between vertices of directed graphs. Let GA and GB be two directed graphs with respectively nA and nB vertices. We define a nA × nB...
Vincent D. Blondel, Paul Van Dooren
STOC
2007
ACM
164views Algorithms» more  STOC 2007»
16 years 4 months ago
All-pairs bottleneck paths for general graphs in truly sub-cubic time
In the all-pairs bottleneck paths (APBP) problem (a.k.a. allpairs maximum capacity paths), one is given a directed graph with real non-negative capacities on its edges and is aske...
Virginia Vassilevska, Ryan Williams, Raphael Yuste...
CORR
2007
Springer
113views Education» more  CORR 2007»
15 years 4 months ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin