In combinatorial design theory, clustering elements into a set of three elements is the heart
of classifying data, which has recently received considerable attention in the fields of …

This inaugural talk unveils the secrets of effective problem solving, delving into innovative
approaches that spark creativity. Drawing inspiration from the enchanting beauty of butterfly …

The aim of this paper is to construct a method for developing a triad design on v objects TD
(v), for the general case v= 6n+ 1. This method depends on analyzing the triples to construct …

A near-k-factor of a graph G is a spanning subgraph in which exactly one isolated vertex and
all other vertices of order k. In this study, we employ the near-four-factor concept and (m …

A compatible factorization of order ν, is an ν× ν− 1 2 array in which the entries in row i form a
near-one-factor with focus i, and the triples associated with the rows contain no repetitions …

The normally used method to construct three-fold triple system is idempotent latin squares.
This existing method only produces three-fold triple system that has repeated triples. Thus …