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The spectrum of self‐converse DTS
Author(s) -
Kang Qingde,
Chang Yanxun,
Yang Guihua
Publication year - 1994
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.3180020605
Subject(s) - converse , mathematics , combinatorics , spectrum (functional analysis) , physics , quantum mechanics , geometry
A directed triple system, DTS( v ) = (X,ℬ), is called self‐converse if it and its converse (X,ℬ −1 ) are isomorphic, where ℬ = {(z,y,x);(x,y,z) ∈ ℬ}. In this article, the existence spectrum of self‐converse DTS( v ) is given, which is v ≡ 0 or 1 (mod 3) and v ≠ 6. © 1994 John Wiley & Sons, Inc.