On the existence of (3, λ )‐semiframes of type 3  u | Zendy

Cao H. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

On the existence of (3, λ )‐semiframes of type 3 u

Author(s) -

Cao H.

Publication year - 2009

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.20209

Subject(s) - mathematics , partition (number theory) , combinatorics , disjoint sets , type (biology) , class (philosophy) , discrete mathematics , computer science , artificial intelligence , ecology , biology

A ( k,λ )‐semiframe of type g u is a ( k,λ )‐group‐divisible design of type g u (, , ℬ), in which the collection of blocks ℬ can be written as a disjoint union ℬ=∪ℒ where ℒ is partitioned into parallel classes of and is partitioned into holey parallel classes, each holey parallel class being a partition of \ G j for some G j ∈. In this paper, we shall prove that the necessary conditions for (3, λ )‐semiframes of type 3 u are also sufficient with one exception. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 253–265, 2009

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research