Zobrazeno 1 - 10
of 190
pro vyhledávání: '"degree kirchhoff index"'
Autor:
Yinzhen Mei, Chengxiao Guo
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 19822-19842 (2024)
The degree Kirchhoff index of graph $ G $ is defined as $ Kf^{*}(G) = \sum\limits_{{u, v}\subseteq V(G)}d(u)d(v)r_{G}(u, v) $, where $ d(u) $ is the degree of vertex $ u $ and $ r_{G}(u, v) $ is the resistance distance between the vertices $ u $ and
Externí odkaz:
https://doaj.org/article/bdfde75f31a94a9b9ba5cbf41f91731a
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 14594-14617 (2024)
In this paper, we focus on the strong product of the pentagonal networks. Let $ R_{n} $ be a hexagonal network composed of $ 2n $ pentagons and $ n $ quadrilaterals. Let $ P_{n}^{2} $ denote the graph formed by the strong product of $ R_{n} $ and its
Externí odkaz:
https://doaj.org/article/779c331eb6954f6eb991ac5351725a27
Autor:
Jia-Bao Liu, Kang Wang
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 7111-7130 (2024)
In this paper, we focus on the strong product of the pentagonal networks. Let $ R_{n} $ be a pentagonal network composed of $ 2n $ pentagons and $ n $ quadrilaterals. Let $ P_{n}^{2} $ denote the graph formed by the strong product of $ R_{n} $ and it
Externí odkaz:
https://doaj.org/article/1e441711fec14859b03a6ab1e14a83a1
Autor:
Zhi-Yu Shi, Jia-Bao Liu
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 5431-5450 (2024)
As a powerful tool for describing and studying the properties of networks, the graph spectrum analyses and calculations have attracted substantial attention from the scientific community. Let $ C_{n} $ represent linear crossed phenylenes. Based on th
Externí odkaz:
https://doaj.org/article/2bc893cc6b744454b094b78bda276e50
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 1, Pp 707-719 (2023)
The multiplicative degree-Kirchhoff index is a significant topological index. This paper is devoted to the exact formulas for the expected value of the multiplicative degree-Kirchhoff index in random polygonal chains. Moreover, on the basis of the re
Externí odkaz:
https://doaj.org/article/357ffa78672e4af29bf86c8d87524b32
Publikováno v:
Symmetry, Vol 15, Iss 11, p 1971 (2023)
In recent years, the research on complex networks has created a boom. The objective of the present paper is to study a random cyclooctatetraene chain whose graph-theoretic mathematical properties arose scientists’ interests. By applying the concept
Externí odkaz:
https://doaj.org/article/23040939a61646f680115a9f1600ad30
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Autor:
Yuqing Zhang, Xiaoling Ma
Publikováno v:
Axioms, Vol 12, Iss 10, p 945 (2023)
A novel distance function named resistance distance was introduced on the basis of electrical network theory. The resistance distance between any two vertices u and v in graph G is defined to be the effective resistance between them when unit resisto
Externí odkaz:
https://doaj.org/article/b6b5b871013a494c9e59f4022d65d316
Publikováno v:
Discrete Mathematics Letters, Vol 8, Pp 89-92 (2022)
Externí odkaz:
https://doaj.org/article/5b9ee61a50cb4bee89d212386c64e244
Publikováno v:
Symmetry, Vol 15, Iss 3, p 718 (2023)
Several topological indices are known to have widespread implications in a variety of research areas. Over the years, the Kirchhoff index has turned out to be an extremely significant and efficient index. In this paper, we propose the exact formulas
Externí odkaz:
https://doaj.org/article/7305990750f44409b8f79bdde4150d85