Enumeration of n-hypergroups on sets with two elements

Abstract

This paper is a continuation of ideas presented in [M. B. Safari, B. Davvaz and V. Leoreanu-Fotea, Enumeration of 3- and 4-hypergroups on sets with two elements, Eur. J. Combin. 44 (2015) 298–306]. We find the number and structure of non-isomorphism 5-hypergroups on sets with two elements. Moreover, we present a general template for some special cases of [Formula: see text]-hypergroups by linking the last results on [Formula: see text]-hypergroups.