Decision making strategy for δ −

The existence of fractional factors characterizes the fractional flows in a network, and hence indirectly characterizes the feasibility of data transmission. The minimum degree and isolated toughness characterize network topology from the perspectives of sparsity and stability, which serves as the theoretical conditions for fractional factors. This article reveals from a theoretical perspective that if the minimum degree condition increases, the corresponding tight isolated toughness variant bound will decrease. This infinite number of parameter combinations cause a “choice dilemma” for decision-makers. To solve this problem, we regard these two parameters as the Pareto front of the bi-objective optimization problem, and a knot point calculation approach is designed to determine the optimal combination.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2025-11-19
DOI
https://doi.org/10.1051/ita/2025017/pdf
Primary Topic
Risk and Portfolio Optimization
Type
article
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article

Decision making strategy for δ −

Springer Link (Chiba Institute of Technology)
Risk and Portfolio Optimization
article

Decision making strategy for δ −

article en

Abstract

The existence of fractional factors characterizes the fractional flows in a network, and hence indirectly characterizes the feasibility of data transmission. The minimum degree and isolated toughness characterize network topology from the perspectives of sparsity and stability, which serves as the theoretical conditions for fractional factors. This article reveals from a theoretical perspective that if the minimum degree condition increases, the corresponding tight isolated toughness variant bound will decrease. This infinite number of parameter combinations cause a “choice dilemma” for decision-makers. To solve this problem, we regard these two parameters as the Pareto front of the bi-objective optimization problem, and a knot point calculation approach is designed to determine the optimal combination.

Springer Link (Chiba Institute of Technology)
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Openalex Percentile: Top 33%
Risk and Portfolio Optimization
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