The Shields-Harary numbers of \(K_{m,n}\) for continuous concave cost functions vanishing at 1

DOI10.1016/J.DAM.2007.08.022zbMath1157.05050OpenAlexW2062156724MaRDI QIDQ2462353

John Holliday, Peter D. jun. Johnson

Publication date: 30 November 2007

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2007.08.022

zbMATH Keywords

network vulnerabilityconcave cost functionShields-Harary numbers

Mathematics Subject Classification ID

Operations research and management science (90B99) Graph theory (05C99) Connectivity (05C40)

Cites Work

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• Shields-Harary numbers of graphs with respect to continuous concave cost functions
• The Shields-Harary number for wheel and broken wheel graphs
• A Combinatorial Problem of Shields and Pearcy
• The Shields-Harary indices of vulnerability of a graph

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