Quantum mechanics

Port (circuit theory)

Algorithm

Engineering

Statistics

Materials science

Centrality

Theoretical computer science

Eigenvalues and eigenvectors

Computer science

Mathematical optimization

Business

Container (type theory)

Mechanical engineering

Matrix (chemical analysis)

Physics

Operations research

Graph

Mathematics

Adjacency matrix

Network analysis

Geometry

Adjacency list

Composite material

Connection (principal bundle)

Combinatorics

Electrical engineering

Transportation Research Part E Logistics and Transportation Review

Container shipping accounts for most of the world merchandise trade. Better maritime connectivity leads to lower freight rates and greater economic growth. This paper presents a novel max–min integer optimization model to facilitate better shipping network connectivity by analysing the largest eigenvalue and its corresponding eigenvector of the (asymmetric) frequency weighted adjacency matrix. An algorithm is presented that can quickly identify which link not currently in the container shipping network would best improve its connectivity. A demand matrix is not required by this method of analysis and network symmetry is not assumed. The method could strengthen direct connection between port pairs.

An eigenvector centrality analysis of world container shipping network connectivity