On \(2\)-\((v,3)\) Steiner. Trades of Small Volumes

G.B. KHOSROVSHAHI1, H.R. MAIMANI2
1Institute for Studtes in Theoretical Physics and Mathematics (IPM), and The University of Tehran, Iran.
2Institute for Studies in Theoretical Physics and Mathematics (IPM), and The University of Tehran, Iran.

Abstract

We consider all \(2-(v,3)\) trades in which every pair appears at most once in each part of the trade, and we call them Steiner Triple Trades \({STT}(v)\). We completely classify \({STT}(v)\) with \(6 \leq vol(T) \leq 9\).