THE INTERSECTION PROBLEM FOR RESOLVABLE BALANCED INCOMPLETE BLOCK DESIGNS WITH SMALL ORDERS

Yannan Li () and Qi Feng
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Yannan Li: College of Mathematics and Information Science, Zhongyuan University of Technology, Zhengzhou 450007, PR China
Qi Feng: College of Mathematics and Information Science, Zhongyuan University of Technology, Zhengzhou 450007, PR China

Matrix Science Mathematic (MSMK), 2023, vol. 7, issue 2, 122-124

Abstract: The intersection problem is one of the basic problems in combinatorial design theorys. In this paper, two cases of resolvable balanced incomplete block designs of size four are investigated. As the basic step of the study on the intersection problem for resolvable balanced incomplete block designs, we have determined some values of the intersection numbers. It will play an important role on the further recursive constructions.

Keywords: Intersection problem; Resolvable balanced incomplete block design; Parallel class (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:7:y:2023:i:2:p:122-124

DOI: 10.26480/msmk.02.2023.122.124

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