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EVOW
2006
Springer
15 years 8 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
15 years 6 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»
15 years 10 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
15 years 9 months 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
15 years 8 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