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Graphs with total mutual-visibility number zero and total mutual-visibility in Cartesian products

Graphs with total mutual-visibility number zero and total mutual-visibility in Cartesian products

If G is a graph and X ⊆ V (G), then X is a total mutual-visibility set if every pair of vertices x and y of G admits a shortest x, y-path P with V (P ) ∩ X ⊆ {x, y}.The cardinality of a largest total mutual-visibility set of …