On the Existence of d-Homogeneous μ-Way (v, 3, 2) Steiner Trades View Full Text


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Article Info

DATE

2019-03

AUTHORS

S. Golalizadeh, N. Soltankhah

ABSTRACT

A μ-way (v, k, t) trade is a pair T=(X,{T1,T2,…,Tμ}) such that for eacht-subset of v-set X the number of blocks containing this t-subset is the same in each Ti(1≤i≤μ). In the other words for each 1≤it) trade T=(X,{T1,T2,…,Tμ}) with any t-subset occuring at most once in Ti(1≤i≤μ) is said to be a μ-way (v, k, t) Steiner trade. The trade is called d-homogeneous if each point occurs in exactly d blocks of Ti. In this paper, we construct d-homogeneous μ-way (v, 3, 2) Steiner trades with the first, second and third smallest volume for each d≡0 (mod 3) and possible μ. Also, we show that for each d≡0 (mod 3) there exist d-homogeneous μ-way (v, 3, 2) Steiner trades for sufficiently large values of v. More... »

PAGES

471-478

References to SciGraph publications

  • 1999-12. On the Spectrum of Steiner (v,k,t) Trades (II) in GRAPHS AND COMBINATORICS
  • Journal

    TITLE

    Graphs and Combinatorics

    ISSUE

    2

    VOLUME

    35

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00373-019-02008-3

    DOI

    http://dx.doi.org/10.1007/s00373-019-02008-3

    DIMENSIONS

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