多群上广义Cayley图的图积

Q4 Mathematics Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI:10.29252/AS.2019.1340

D. Heidari

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引用次数: 0

摘要

本文给出了定义在多群上的Cayley图(gcp -图)的一种合适的推广，并给出了一些例子和性质。然后，我们提到了NEPS的泛化，它包含一些已知的图操作，并应用于gcp图。最后，我们证明了gcp图的乘积仍然是一个gcp图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Graph product of generalized Cayley graphs over polygroups

In this paper, we introduce a suitable generalization of Cayley graphs that is defined over polygroups (GCP-graph) and give some examples and properties. Then, we mention a generalization of NEPS that contains some known graph operations and apply to GCP-graphs. Finally, we prove that the product of GCP-graphs is again a GCP-graph.

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