将完整多图分解为循环三重系统的轮状图

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-12-28 DOI:10.37394/23206.2023.22.104

Khaled Ahmad Matarneh, Mowafaq Omar Al-Qadri, A. Al-Husban, Raja'i Aldiabat, Shameseddin Alshorm

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引用次数: 0

摘要

设 𝑛 为正整数，且 𝑛 是阶为 𝑛 的轮状图。在本文中，我们将在𝑣 ≡ 2 (mod 12) 的情况下，把 8 𝑣分解成轮形图。然后，将定义新的循环三元组系统，以排列满足特定条件的𝑣 × 2(𝑣 - 1) 个三元组。在这一发展过程中，我们将利用 8 𝑣 的分解来构造阶数 𝑣 ≡ 2 (mod 12) 的循环 12 折叠三重系统。

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Decomposition of Complete Multigraph into Wheel Graphs for Cyclic Triple System

Let 𝑛 be positive integer and 𝑊𝑛 be a wheel graph of order 𝑛. In this paper, we construct a new decomposition of 8𝐾𝑣 into wheel graphs for 𝑣 ≡ 2 (mod 12). Then, new cyclic triple system will be defined to arrange 𝑣 × 2(𝑣 − 1) triples satisfying certain criteria. In this development, the decomposition of 8𝐾𝑣 will be used to construct a cyclic 12-fold triple system of order 𝑣 ≡ 2 (mod 12).

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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.