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» Graphs with Bounded Induced Distance
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IMA
2001
Springer
80views Cryptology» more  IMA 2001»
14 years 1 months ago
Spectrally Bounded Sequences, Codes, and States: Graph Constructions and Entanglement
A recursive construction is provided for sequence sets which possess good Hamming Distance and low Peak-to-Average Power Ratio (PAR) under any Local Unitary Unimodular Transform. W...
Matthew G. Parker
WADS
2007
Springer
104views Algorithms» more  WADS 2007»
14 years 3 months ago
Faster Approximation of Distances in Graphs
Let G = (V, E) be an weighted undirected graph on n vertices and m edges, and let dG be its shortest path metric. We present two simple deterministic algorithms for approximating ...
Piotr Berman, Shiva Prasad Kasiviswanathan
SODA
2000
ACM
121views Algorithms» more  SODA 2000»
13 years 10 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...
TIT
2008
103views more  TIT 2008»
13 years 9 months ago
Improved Probabilistic Bounds on Stopping Redundancy
For a linear code , the stopping redundancy of is defined as the minimum number of check nodes in a Tanner graph T for such that the size of the smallest stopping set in T is equal...
Junsheng Han, Paul H. Siegel, Alexander Vardy
TCS
2010
13 years 7 months ago
Cops and Robbers from a distance
Cops and Robbers is a pursuit and evasion game played on graphs that has received much attention. We consider an extension of Cops and Robbers, distance k Cops and Robbers, where t...
Anthony Bonato, Ehsan Chiniforooshan, Pawel Pralat