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153
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SODA
2010
ACM
248views Algorithms» more  SODA 2010»
16 years 2 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
IPPS
2002
IEEE
15 years 9 months ago
Distributed Spanner with Bounded Degree for Wireless Ad Hoc Networks
In this paper, we propose a new distributed algorithm that constructs a sparse spanner subgraph of the unit disk graph efficiently for wireless ad hoc networks. It maintains a li...
Yu Wang 0003, Xiang-Yang Li
174
Voted
ISAAC
2010
Springer
243views Algorithms» more  ISAAC 2010»
15 years 2 months ago
Lower Bounds for Howard's Algorithm for Finding Minimum Mean-Cost Cycles
Howard's policy iteration algorithm is one of the most widely used algorithms for finding optimal policies for controlling Markov Decision Processes (MDPs). When applied to we...
Thomas Dueholm Hansen, Uri Zwick
ARSCOM
2008
103views more  ARSCOM 2008»
15 years 4 months ago
Estimating the number of graphs containing very long induced paths
Let P(n, k) denote the number of graphs on n + k vertices that contain Pn, a path on n vertices, as an induced subgraph. In this note we will find upper and lower bounds for P(n, ...
Steven Butler
120
Voted
DM
2006
92views more  DM 2006»
15 years 4 months ago
Sums of powers of the degrees of a graph
For a graph G and k a real number, we consider the sum of the k-th powers of the degrees of the vertices of G. We present some general bounds on this sum for various values of k. ...
Sebastian M. Cioaba