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- W2963699455 abstract "The strong geodetic problem is a recent variation of the geodetic problem. For a graph G , its strong geodetic number sg( G ) is the cardinality of a smallest vertex subset S , such that each vertex of G lies on a fixed shortest path between a pair of vertices from S . In this paper, the strong geodetic problem is studied on the Cartesian product of graphs. A general upper bound for sg( G □ H ) is determined, as well as exact values for K m □ K n , K 1, k □ P l , and prisms over K n – e . Connections between the strong geodetic number of a graph and its subgraphs are also discussed." @default.
- W2963699455 created "2019-07-30" @default.
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- W2963699455 date "2018-01-01" @default.
- W2963699455 modified "2023-10-16" @default.
- W2963699455 title "Strong geodetic problem on Cartesian products of graphs" @default.
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- W2963699455 doi "https://doi.org/10.1051/ro/2018003" @default.
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