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DAM
2011
15 years 1 months ago
A study of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a graph ...
Martin Knor, Guangjun Xu, Sanming Zhou
SIAMCOMP
2010
172views more  SIAMCOMP 2010»
15 years 1 months ago
More Algorithms for All-Pairs Shortest Paths in Weighted Graphs
In the first part of the paper, we reexamine the all-pairs shortest paths (APSP) problem and present a new algorithm with running time O(n3 log3 log n/ log2 n), which improves all...
Timothy M. Chan
ESA
2009
Springer
122views Algorithms» more  ESA 2009»
16 years 1 months ago
Bounded Budget Betweenness Centrality Game for Strategic Network Formations
In this paper, we introduce the bounded budget betweenness centrality game, a strategic network formation game in which nodes build connections subject to a budget constraint in or...
Xiaohui Bei, Wei Chen, Shang-Hua Teng, Jialin Zhan...
GC
2011
Springer
15 years 1 months ago
Properly Edge-Coloured Subgraphs in Colourings of Bounded Degree
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
Klas Markström, Andrew Thomason, Peter Wagner...
ICDE
2008
IEEE
190views Database» more  ICDE 2008»
16 years 8 months ago
Efficient Query Processing in Large Traffic Networks
Abstract-- We present an original graph embedding to speedup distance-range and k-nearest neighbor queries on static and/or dynamic objects located on a (weighted) graph. Our metho...
Hans-Peter Kriegel, Matthias Renz, Peer Kröge...