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» The Intractability of Computing the Hamming Distance
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EJC
2006
13 years 4 months ago
On the canonical metric representation, average distance, and partial Hamming graphs
Average distance of a graph is expressed in terms of its canonical metric representation. The equality can be modified to an inequality in such a way that it characterizes isometr...
Sandi Klavzar
IPL
2006
104views more  IPL 2006»
13 years 4 months ago
The communication complexity of the Hamming distance problem
We investigate the randomized and quantum communication complexity of the HAMMING DISTANCE problem, which is to determine if the Hamming distance between two n-bit strings is no l...
Wei Huang, Yaoyun Shi, Shengyu Zhang, Yufan Zhu
ISAAC
2003
Springer
70views Algorithms» more  ISAAC 2003»
13 years 10 months ago
Settling the Intractability of Multiple Alignment
In this paper some of the most fundamental problems in computational biology are proved intractable. The following problems are shown NP-hard for all binary or larger alphabets und...
Isaac Elias
DCC
1999
IEEE
13 years 4 months ago
On Perfect Ternary Constant Weight Codes
We consider the space of ternary words of length n and fixed weight w with the usual Hamming distance. A sequence of perfect single error correcting codes in this space is construc...
Jack H. van Lint, Ludo M. G. M. Tolhuizen
TIT
2008
107views more  TIT 2008»
13 years 4 months ago
Computing Binary Combinatorial Gray Codes Via Exhaustive Search With SAT Solvers
The term binary combinatorial Gray code refers to a list of binary words such that the Hamming distance between two neighboring words is one and the list satisfies some additional ...
Igor Zinovik, Daniel Kroening, Yury Chebiryak