Mutual-visibility number conjecture for Cartesian products of paths and cycles
Let be the path on vertices and the cycle on vertices, and let denote the mutual-visibility number of a graph . Mutual-visibility number conjecture. If , then
The equality is known in the range from the constructions and computational results discussed in the paper, while the assertion for all remains open.
References
Primary source
Danilo Korže and Aleksander Vesel, “Mutual-visibility sets in Cartesian products of paths and cycles”, arXiv:2309.15201 (2023).
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