Faculty Publications

On Minimum Index Stanton 4-Cycle Designs

Document Type

Conference

Keywords

Graph decomposition, Graph design theory, Stanton graph

Journal/Book/Conference Title

Springer Proceedings in Mathematics and Statistics

Volume

388

First Page

99

Last Page

108

Abstract

Let G be a multigraph with the underlying structure of a 4-cycle where each edge multiplicity in the set { 1, 2, 3, 4 } is represented. There are three such multigraphs, and we call each of these a Stanton 4-cycle. For each such multigraph G and integer n≥ 4, we consider the minimum λ such that there exists a G-decomposition of λKn.

Department

Department of Mathematics

Original Publication Date

1-1-2022

DOI of published version

10.1007/978-3-031-05375-7_6

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