On the connectedness of f-simplicial complexes

Abstract

In this paper, we introduce the concept of [Formula: see text]-simplicial complexes by generalizing the term of [Formula: see text]-graphs (introduced in [H. Mahmood, I. Anwar and M. K. Zafar, Construction of Cohen–Macaualy [Formula: see text]-graphs, J. Algebra Appl. 13(6) (2014) 1450012]). In particular, we discuss the problem of connectedness of pure [Formula: see text]-simplicial complexes. Moreover, we give a complete characterization of connected and disconnected [Formula: see text]-graphs and give a classification of all the disconnected [Formula: see text]-graphs.