Intersections Of Triple Systems: Small Orders

S. Ajoodani-Namini1, G.B. Khosrovshahi2, A. Shokoufandeh1
1Institute for Studies in Theoretical Physics and Mathematics (IPM) Tehran, Iran.
2Institute for Studies in Theoretical Physics and Mathematics (IPM) and Department of Mathematics, University of Tehran P.O.Box 19395-1795, Tehran, Iran

Abstract

The set of all possible intersection sizes between two simple triple systems \({TS}(v, \lambda_1)\) and \({TS}(v, \lambda_2)\) is denoted by \({Int}(v, \lambda_1, \lambda_2)\). In this paper, for \(6 \leq v \leq 14\), and for all feasible \(\lambda$’s, \({Int}(v, \lambda_1, \lambda_2)\) is determined.