Butterfly Triple System Algorithm Based on Graph Theory

In combinatorial design theory, clustering elements into a set of three is the heart classifying data, which has recently received considerable attention in fields network algorithms, cryptography, and analysis statistics, Information theory. This article provides insight formulating algorithm for new type triple system, called Butterfly system. Basically, this development, starter cyclic near-resolvable ((v-1)/2)-cycle system 2-fold complete graph 2Kvis employed to construct ((v-1)/2)-star decomposition 2Kv. These starters are then decomposed triples classified as triple. The obtained generates order v. A special reference case ν ≡ 9 (mod 12) presented demonstrate development