The subset-strong product of graphs

DOI10.2478/AMSIL-2023-0029zbMATH Open1546.05121MaRDI QIDQ6596105

Mehdi Eliasi

Publication date: 2 September 2024

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

zbMATH Keywords

adjacency matrixhierarchical productZagreb indicesstrong productsprism networks

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vertex degrees (05C07) Graph operations (line graphs, products, etc.) (05C76) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

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• Wiener index of some graph operations
• The hyper-Wiener index of the generalized hierarchical product of graphs
• Approximate eigensolution of Laplacian matrices for locally modified graph products
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• Graph multiplication
• The hyper-Wiener index of graph operations
• The first and second Zagreb indices of some graph operations
• The generalized hierarchical product of graphs
• On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence
• Fractional domination of strong direct products
• Strong products of Kneser graphs
• Strong products of \(\chi\)-critical graphs
• Connectivity of strong products of graphs
• Numerical invariants and the strong product of graphs
• Minimal cycle basis of graph products for the force method of frame analysis
• Eigenvalues of the Laplacian of a graph^∗

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