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COMPGEOM
2007
ACM
14 years 6 days ago
Embedding 3-polytopes on a small grid
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
Ares Ribó Mor, Günter Rote, Andr&eacut...
APPROX
2008
Springer
137views Algorithms» more  APPROX 2008»
13 years 10 months ago
Approximating Directed Weighted-Degree Constrained Networks
Given a graph H = (V, F) with edge weights {w(e) : e F}, the weighted degree of a node v in H is {w(vu) : vu F}. We give bicriteria approximation algorithms for problems that see...
Zeev Nutov
IM
2007
13 years 8 months ago
Pursuit-Evasion in Models of Complex Networks
Vertex pursuit games, such as the game of Cops and Robbers, are a simplified model for network security. In these games, cops try to capture a robber loose on the vertices of the ...
Anthony Bonato, Pawel Pralat, Changping Wang
JGAA
2007
142views more  JGAA 2007»
13 years 8 months ago
Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
Kerri Morgan, Graham Farr
COMPGEOM
1992
ACM
14 years 10 days ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar