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» Approximating the Crossing Number of Toroidal Graphs
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ICTAI
2010
IEEE
14 years 7 months ago
An Effective Multilevel Memetic Algorithm for Balanced Graph Partitioning
The balanced graph partitioning consists in dividing the vertices of an undirected graph into a given number of subsets of approximately equal size, such that the number of edges c...
Una Benlic, Jin-Kao Hao
81
Voted
FOCS
2009
IEEE
15 years 4 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
SI3D
2003
ACM
15 years 2 months ago
Large haptic topographic maps: marsview and the proxy graph algorithm
In this paper we develop an interactive 3D browser for large topographic maps using a visual display augmented by a haptic, or force feedback, display. The extreme size of our dat...
Sean P. Walker, John Kenneth Salisbury Jr.
FOCS
2008
IEEE
15 years 4 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...
STOC
2007
ACM
140views Algorithms» more  STOC 2007»
15 years 10 months ago
On the submodularity of influence in social networks
We prove and extend a conjecture of Kempe, Kleinberg, and Tardos (KKT) on the spread of influence in social networks. A social network can be represented by a directed graph where...
Elchanan Mossel, Sébastien Roch