Open AccessBICYCLIC BSEC OF BLOCK SIZE 3
Author(s) -
Chung-Je Cho
Publication year - 2005
Publication title -
communications of the korean mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.286
H-Index - 15
eISSN - 2234-3024
pISSN - 1225-1763
DOI - 10.4134/ckms.2005.20.3.603
Subject(s) - bicyclic molecule , mathematics , combinatorics , block (permutation group theory) , disjoint sets , lambda , stereochemistry , chemistry , physics , optics
A k-sized balanced sampling plan excluding contigu- ous units of order v and index ‚, denoted by BSEC(v;k;‚), is said to be bicyclic if it admits an automorphism consisting of two dis- joint cycles of length v . In this paper, we obtain a necessary and su-cient condition for the existence of bicyclic BSEC(v;3;2)s.
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