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» On a game in directed graphs
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ICALP
2003
Springer
15 years 12 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 7 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 6 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
195
Voted
JCT
2008
120views more  JCT 2008»
15 years 6 months ago
Approximate min-max theorems for Steiner rooted-orientations of graphs and hypergraphs
Given an undirected hypergraph and a subset of vertices S V with a specified root vertex r S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the hypered...
Tamás Király, Lap Chi Lau
CORR
2007
Springer
88views Education» more  CORR 2007»
15 years 6 months ago
The Parallel-Sequential Duality : Matrices and Graphs
Abstract. Usually, mathematical objects have highly parallel interpretations. In this paper, we consider them as sequential constructors of other objects. In particular, we prove t...
Serge Burckel