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Global Hop Hub Number of a Graph
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Global Hop Hub Number of a Graph
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Global Hop Hub Number of a Graph
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Global Hop Hub Number of a Graph
Global Hop Hub Number of a Graph
Journal Article

Global Hop Hub Number of a Graph

2023
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Overview
hub set of vertices in a graph is a hop hub set of if for each ∈ ( ) , there exists ∈ such that ( , ) = 2 . A hop hub set ℎ ℎ is a global hop hub set of if it is a hop hub set of a graph and its complement . The minimum cardinality of a global hop hub set of , denoted by ℎℎ ( ), is called the global hop hub number of . In this paper, we determine the global hop hub number of some standard graphs. Also, upper and lower bounds for ℎℎ ( ) are obtained.