全球网络生成树数目的枚举及其细分

IF 0.6 4区计算机科学 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Ad Hoc & Sensor Wireless Networks Pub Date : 2023-09-28 DOI:10.5121/jgraphoc.2023.15301

Basma Mohamed, Mohamed Amin

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引用次数: 0

摘要

图的复杂度可以用网络理论的方法来确定。这种策略是基于图论与线性代数中行列式理论之间的联系。在本文中，我们提供了一种独特的代数方法，利用线性代数推导出各种新型网络复杂性的简单公式。利用这种方法可以推导出全球网及其细分的显式公式。最后，我们还确定了它们的生成树熵，并将其相互比较

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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Enumeration of the Number of Spanning Trees of the Globe Network and its Subdivision

The complexity of a graph can be determined using a network-theoretic method, which is given. This strategy is based on the connection between graph theory and the theory of determinants in linear algebra. In this article, we provide a unique algebraic method that makes use of linear algebra to derive simple formulas for the complexity of diverse novel networks. We can derive the explicit formulas for the globe network and its subdivision using this method. In the final least, we also determine their spanning trees entropy and compare it to each other

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来源期刊

Ad Hoc & Sensor Wireless Networks 工程技术-电信学

CiteScore

2.00

自引率

44.40%

发文量

审稿时长

8 months

期刊介绍： Ad Hoc & Sensor Wireless Networks seeks to provide an opportunity for researchers from computer science, engineering and mathematical backgrounds to disseminate and exchange knowledge in the rapidly emerging field of ad hoc and sensor wireless networks. It will comprehensively cover physical, data-link, network and transport layers, as well as application, security, simulation and power management issues in sensor, local area, satellite, vehicular, personal, and mobile ad hoc networks.