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» On Bounds for the k-Partitioning of Graphs
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IM
2007
15 years 6 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»
15 years 6 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
SIAMCOMP
2000
118views more  SIAMCOMP 2000»
15 years 6 months ago
Constructive, Deterministic Implementation of Shared Memory on Meshes
This paper describes a scheme to implement a shared address space of size m on an n-node mesh, with m polynomial in n, where each mesh node hosts a processor and a memory module. A...
Andrea Pietracaprina, Geppino Pucci, Jop F. Sibeyn
SIAMDM
2010
167views more  SIAMDM 2010»
15 years 1 months ago
Domination Game and an Imagination Strategy
The domination game played on a graph G consists of two players, Dominator and Staller who alternate taking turns choosing a vertex from G such that whenever a vertex is chosen by...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
COMPGEOM
1992
ACM
15 years 10 months 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