Viewing the network parameters and H‐factors from the perspective of geometry

Abstract

Recent studies have shown that there is a profound connection between the existence of -factors under attack circumstances and the parameters to measure the vulnerability of the network. The disadvantage of the previous theoretical conclusions is that the connectivity is often regarded as fixed, and the relationship between other network parameters and the -factor is explored. However, in a real situation, as the network structure changes, connectivity becomes a dynamically variational parameter, and its changing will affect other parameters to make corresponding changes. In | THE EXISTENCE OF ℋ-FACTOR FROM THE PERSPECTIVE OF HIGH DIMENSIONAL SPACE | Existing problems and motivationAlthough there are considerable amount of results about the toughness-related parameters of the -factor at present, we have found some problems from them, and the main problem is to focus on the relationship between toughness and connectivity.

Connectivity indices of m-polar fuzzy network model, with an application to a product manufacturing problem

“…( 2021 ), Samanta and Pal ( 2015 ), Gao et al. ( 2022a , b ), Habib et al. ( 2022 ), and Akram and Nawaz ( 2022 ).…”

Ratio-based distortion and network distance

“…The graph model aims to integrate the real-world network and topology theory, and analyze the topological parameters and variables in the network from the perspective of topology and graph theory (Chen et al [1] and Gao et al [2]). With the help of mathematical tools, network performance under specific applications is theoretically analyzed to predict and guide various engineering applications of networks (Gao et al [3] and Parrinello et al [4]).…”