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» Bounding Degrees on RPL
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102
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SODA
2000
ACM
121views Algorithms» more  SODA 2000»
15 years 2 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...
CORR
2008
Springer
87views Education» more  CORR 2008»
15 years 23 days ago
Green Codes: Energy-Efficient Short-Range Communication
Abstract-- A green code attempts to minimize the total energy per-bit required to communicate across a noisy channel. The classical information-theoretic approach neglects the ener...
Pulkit Grover, Anant Sahai
90
Voted
DCG
1999
58views more  DCG 1999»
15 years 10 days ago
Nonexistence of Certain Spherical Designs of Odd Strengths and Cardinalities
A spherical -design on Sn-1 is a finite set such that, for all polynomials f of degree at most , the average of f over the set is equal to the average of f over the sphere Sn-1 . ...
Peter Boyvalenkov, Danyo Danev, Svetla Nikova
SIAMCOMP
1998
162views more  SIAMCOMP 1998»
15 years 10 days ago
Hypercubic Sorting Networks
Hypercubic sorting networks are a class of comparator networks whose structure maps e ciently to the hypercube and any of its bounded degree variants. Recently, n-input hypercubic...
Frank Thomson Leighton, C. Greg Plaxton
CORR
2012
Springer
228views Education» more  CORR 2012»
13 years 8 months ago
Faster Approximate Distance Queries and Compact Routing in Sparse Graphs
A distance oracle is a compact representation of the shortest distance matrix of a graph. It can be queried to retrieve approximate distances and corresponding paths between any p...
Rachit Agarwal, Brighten Godfrey, Sariel Har-Peled