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Shields-Harary numbers of graphs with respect to continuous concave cost functions (Q1415232)

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scientific article; zbMATH DE number 2012653
Language Label Description Also known as
English
Shields-Harary numbers of graphs with respect to continuous concave cost functions
scientific article; zbMATH DE number 2012653

    Statements

    title
    Shields-Harary numbers of graphs with respect to continuous concave cost functions (English)
    0 references
    author
    John Holliday
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    P. D. jun. Johnson
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    publication date
    3 December 2003
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    review text
    Summary: The Shields-Harary numbers are a class of graph parameters that measure a certain kind of robustness of a graph, thought of as a network of fortified reservoirs, with reference to a given cost function. We prove a result about the Shields-Harary numbers with respect to concave continuous cost functions which will simplify the calculation of these numbers for certain classes of graphs, including graphs formed by two intersecting cliques, and complete multipartite graphs.
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    Identifiers

    zbMATH DE Number
    2012653
    0 references
    OpenAlex ID
    W2000854849
    0 references
     
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