Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4647547 | Discrete Mathematics | 2013 | 11 Pages |
Abstract
In this paper, we consider group divisible designs with two associate classes, completely settling the existence problem for K3-designs of λ1Knâ¨Î»2λ1Km when m=2 and when λ1â¥Î»2. We also extend a classic result of Colbourn and Rosa on quadratic leaves, finding necessary and sufficient conditions for the existence of a K3-decomposition of λKnâE(Q), where Q is any 2-regular subgraph of Kn.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Joe Chaffee, C.A. Rodger,