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» The Moore Bound for Irregular Graphs
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GC
2002
Springer
13 years 7 months ago
The Moore Bound for Irregular Graphs
Noga Alon, Shlomo Hoory, Nathan Linial
CORR
2004
Springer
115views Education» more  CORR 2004»
13 years 7 months ago
Bounds on the decoding complexity of punctured codes on graphs
We present two sequences of ensembles of non-systematic irregular repeat-accumulate codes which asymptotically (as their block length tends to infinity) achieve capacity on the bi...
Henry D. Pfister, Igal Sason, Rüdiger L. Urba...
STOC
1998
ACM
139views Algorithms» more  STOC 1998»
13 years 11 months ago
Analysis of Low Density Codes and Improved Designs Using Irregular Graphs
In [6], Gallager introduces a family of codes based on sparse bipartite graphs, which he calls low-density parity-check codes. He suggests a natural decoding algorithm for these c...
Michael Luby, Michael Mitzenmacher, Mohammad Amin ...
JGT
2008
61views more  JGT 2008»
13 years 7 months ago
Irregularity strength of dense graphs
Let G be a simple graph of order n with no isolated vertices and no isolated edges. For a positive integer w, an assignment f on G is a function f : E(G) {1, 2, . . . , w}. For a ...
Bill Cuckler, Felix Lazebnik
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
14 years 1 months ago
Limitations of quantum coset states for graph isomorphism
It has been known for some time that graph isomorphism reduces to the hidden subgroup problem (HSP). What is more, most exponential speedups in quantum computation are obtained by...
Sean Hallgren, Cristopher Moore, Martin Rötte...