模糊图论中Riemann张量的循环对称性
Cyclic Symmetry of Riemann Tensor in Fuzzy Graph Theory
摘要：
在本文中，我们定义了一个图论模拟的黎曼张量和分析性质的循环对称。我们已经开发了一个模糊图论模拟的黎曼张量，并分析了它的性质。我们还展示了模糊模拟如何满足黎曼张量的6 × 6矩阵的性质，通过将其表示为由置换顶点集和Levi-Civita图模拟形成的模糊完全图的并集。最后，我们简要讨论了模糊图形模拟和黎曼张量的属性之间的相似性，以及它如何成为彼得罗夫-彭罗斯分类的一个合理的类似模型。
英文摘要：
In this paper, we define a graph-theoretic analog for the Riemann tensor and analyze properties of the cyclic symmetry. We have developed a fuzzy graph-theoretic analog of the Riemann tensor and have analyzed its properties. We have also shown how the fuzzy analog satisfies the properties of the 6X6 matrix of the Riemann tensor by expressing it as a union of the fuzzy complete graph formed by the permuting vertex set and a Levi-Civita graph analog. We have concluded the paper with a brief discussion on the similarities between the properties of the fuzzy graphical analog and the Riemann tensor and how it can be a plausible analogous model for the Petrov-Penrose classification.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
