Khaled Ahmad Matarneh, Mowafaq Omar Al-Qadri, Abdallah Al-Husban, Raja'i Aldiabat, Shameseddin Alshorm, "Decomposition of Complete Multigraph into Wheel Graphs for Cyclic Triple System," WSEAS Transactions on Mathematics, vol. 22, pp. 950-960, 2023, DOI:10.37394/23206.2023.22.104
Khaled Ahmad Matarneh, Mowafaq Omar Al-Qadri, Abdallah Al-Husban, Raja'i Aldiabat, Shameseddin Alshorm. Decomposition of Complete Multigraph into Wheel Graphs for Cyclic Triple System.
WSEAS Transactions on Mathematics. 2023;22:950-960. 10.37394/23206.2023.22.104
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 $$ν\equiv 2 (mod 12)$$.
Keywords:
Cyclic triple factorization, graph decomposition, near-four-factor, fuzzy set theory, group theory, graph theory
Pages: 950-960 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #104 DOI: 10.37394/23206.2023.22.104
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