WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
Decomposition of Complete Multigraph into Wheel Graphs for Cyclic Triple System
Authors: , , , ,
Abstract: Let n be positive integer and $$W_{n}$$ be a wheel graph of order $$n$$. In this paper, we construct a new decomposition of $$8K_{ν}$$ into wheel graphs for $$ν\equiv 2 (mod 12)$$. Then, new cyclic triple system will be defined to arrange $$ν×2(ν-1)$$ triples satisfying certain criteria. In this development, the decomposition of $$8K_{ν}$$ will be used to construct a cyclic 12-fold triple system of order $$ν\equiv 2 (mod 12)$$.