Finiteness Results in Triangle‐Free Quasi‐Symmetric Designs | Zendy

Pawale Rajendra M. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Finiteness Results in Triangle‐Free Quasi‐Symmetric Designs

Author(s) -

Pawale Rajendra M.

Publication year - 2013

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.21320

Subject(s) - mathematics , combinatorics , intersection (aeronautics) , isosceles triangle , discrete mathematics , geometry , engineering , aerospace engineering

Triangle‐free quasi‐symmetric 2‐ ( v , k , λ ) designs with intersection numbers x , y ; 0 ≤ x ≤ y ≤ k and λ > 1 are investigated. Possibility of triangle‐free quasi‐symmetric designs with λ = 2 y or k − x = 3 ( y − x ) is ruled out. It is also shown that, for a fixed x and a fixed ratio ( k − x ) / ( y − x ) ≥ 3 , there are only finitely many triangle‐free quasi‐symmetric designs. © 2012 Wiley Periodicals, Inc. J Combin Designs 00: 1‐6, 2012

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research