The multiplicative degree-Kirchhoff index and complexity of a class of linear networks

Autor: Jia-Bao Liu, Kang Wang
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 3, Pp 7111-7130 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024347?viewType=HTML
Popis: 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 its copy $ R_{n}^{\prime} $. By utilizing the decomposition theorem of the normalized Laplacian characteristics polynomial, we characterize the explicit formula of the multiplicative degree-Kirchhoff index completely. Moreover, the complexity of $ P_{n}^{2} $ is determined.
Databáze: Directory of Open Access Journals