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EVOW
2006
Springer
13 years 11 months ago
A Multiagent Algorithm for Graph Partitioning
The k-cut problem is an NP-complete problem which consists of finding a partition of a graph into k balanced parts such that the number of cut edges is minimized. Different algori...
Francesc Comellas, Emili Sapena
COMPGEOM
2005
ACM
13 years 9 months ago
The Visibility-Voronoi Complex and Its Applications
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...
Ron Wein, Jur P. van den Berg, Dan Halperin
WADS
2005
Springer
145views Algorithms» more  WADS 2005»
14 years 1 months ago
Approximation Algorithms for Forests Augmentation Ensuring Two Disjoint Paths of Bounded Length
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
Victor Chepoi, Bertrand Estellon, Yann Vaxè...
COMPGEOM
2010
ACM
14 years 23 days ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar
GD
2000
Springer
13 years 11 months ago
A Fast Multi-scale Method for Drawing Large Graphs
We present a multi-scale layout algorithm for the aesthetic drawing of undirected graphs with straight-line edges. The algorithm is extremely fast, and is capable of drawing graph...
David Harel, Yehuda Koren