Bibliographic Details
| Title: |
The constructions of partially balanced incomplete block designs based on Kneser graphs. |
| Authors: |
Liang, Xiaoye1,2 (AUTHOR), Li, Bohan1 (AUTHOR), Qin, Yongbin1 (AUTHOR), Tan, Ying-Ying1,2 (AUTHOR) tansusan1@ahjzu.edu.cn |
| Source: |
Discrete Applied Mathematics. Aug2026, Vol. 389, p214-220. 7p. |
| Subjects: |
Block designs, Independent sets, Paths & cycles in graph theory, Combinatorial designs & configurations, Dominating set |
| Abstract: |
A partially balanced incomplete block design (PBIBD), defined on an association scheme, is a generalization of the combinatorial 2-design. This paper investigates the construction of PBIBDs based on subgraph structures within the Kneser graph. Specifically, three families of PBIBDs are introduced, with blocks derived from diametral paths, maximum independent sets, and minimal bi-connected dominating sets. It is demonstrated that each of these new constructions yields a PBIBD. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
