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» On Bounds for the k-Partitioning of Graphs
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ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
15 years 3 months ago
Multi-directional Width-Bounded Geometric Separator and Protein Folding
We introduce the concept of multi-directional width-bounded geometric separator and get improved separator for the grid graph, which improves exact algorithm for the protein foldin...
Bin Fu, Sorinel Adrian Oprisan, Lizhe Xu
DAM
2011
14 years 4 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»
14 years 4 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
GC
2011
Springer
14 years 4 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...
TAMC
2010
Springer
14 years 8 months ago
Exploiting Restricted Linear Structure to Cope with the Hardness of Clique-Width
Clique-width is an important graph parameter whose computation is NP-hard. In fact we do not know of any other algorithm than brute force for the exact computation of clique-width...
Pinar Heggernes, Daniel Meister, Udi Rotics