Richard Bean

works on

block design 1 combinatorial optimization 1 covering design 1 satisfiability search 1 single-change design 1

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math.CO2026

A tight single-change covering design with block size 6

Richard Bean

The paper constructs a tight single‑change covering design with parameters v=26 and block size k=6, resolving an open problem about the existence of such designs with block size gr…

math.CO2026

Critical Sets in Latin Squares and Associated Structures

Richard Winston Bean

A critical set in a Latin square of order $n$ is a set of entries in an $n \times n$ array which can be embedded in precisely one Latin square of order $n$ , with the property that i…