Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2017, Vol. 34 ›› Issue (1): 47-58.doi: 10.3969/j.issn.1005-3085.2017.01.006

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An Enumeration Result in the Alignment Space

LU Guo-xiang   

  1. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073
  • Received:2015-09-14 Accepted:2016-07-19 Online:2017-02-15 Published:2017-04-15
  • Supported by:
    The Fundamental Research Funds for the Central Universities (2722013JC082).

Abstract:

Alignment space is a metric space which is generated by the generalized error. The sequence structure analysis among the space plays a more and more important role in practice. In this paper, the structures of the sequences between which the Alignment distance is 2 in Alignment space ${F_2}^*$ are studied. Alignment distance distribution is also proposed. And the analytic expression for the sequences pairs between which the length is $n$ and the Alignment distance is 2 is obtained.

Key words: Alignment space, Alignment distance, site, enumeration

CLC Number: