Completing the Spectrum of Resolvable \((K_4 -e)\)-Designs

Abstract

In this note, a resolvable \((K_4 – e)\)-design of order \(296\) is constructed. Combining the results of \([2, 3, 4]\), the existence spectrum of resolvable \((K_4 – e)\)-designs of order \(v\) is the set \(\{v : v \equiv 16 \pmod{20}, v \geq 16\}\).