Computing the expected value of invariants based on resistance distance for random spiro-polynomio chains

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2024-10-07 DOI:10.1016/j.dam.2024.09.026

Yasir Ahmad , Xiang-Feng Pan , Umar Ali , Zhuo Diao

引用次数: 0

Abstract

Random polynomio chains adopt a geometrically guided framework for analyzing resistance distance, which involves mathematical techniques to comprehend electrical resistance and optimize communication routes within networks. By determining the expected values of resistance distance-based indices, we can understand the typical or average performance of the network in terms of electrical resistance and communication efficiency. In this study, the closed-form formulae for the expected values of the Kirchhoff and additive degree-Kirchhoff indices for the random spiro-polynomio chains are determined. Furthermore, we compute the average values of Kirchhoff and additive degree-Kirchhoff indices for the spiro-polynomio chains with

n

polynomios.

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根据随机螺-波里诺米奥链的阻力距离计算不变量的期望值

随机多项式链采用几何指导框架来分析电阻距离，其中涉及数学技术来理解网络内的电阻和优化通信线路。通过确定基于电阻距离指数的预期值，我们可以了解网络在电阻和通信效率方面的典型或平均性能。在本研究中，我们确定了随机螺-波里诺米奥链的基尔霍夫指数和加度-基尔霍夫指数预期值的闭式公式。此外，我们还计算了具有 n 个多项式的螺-波里诺米奥链的基尔霍夫指数和加度-基尔霍夫指数的平均值。

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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来源期刊

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.