A generalized p-cycle is a digraph whose set of vertices is partitioned in p parts that are cyclically ordered in such a way that the vertices in one part are adjacent only to vertices in the next part. In this work, we mainly show the two following types of conditions in order to find generalized p-cycles with maximum connectivity: 1. For a new given parameter `, related to the number of short...

A multidimensional gravitational model containing several dilatonic scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M0 ×M1 × . . . ×Mn, where Mi are Einstein spaces (i ≥ 1). The block-diagonal metric is chosen and all fields and scale factors of the metric are functions on M0. For the forms composite (electro-magnetic) p-brane ansatz is adopted. The m...