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General position sets in strong products with paths and cycles
Aleksander Vesel
We study general position sets in strong products involving paths and cycles. For every connected graph and every , we prove that gpgp. We als…
The palette index of the Cartesian product of paths, cycles and regular graphs
Aleksander Vesel
The palette of a vertex v in a graph G is the set of colors assigned to the edges incident to v. The palette index of G is the minimum number of distinct palettes among the vertice…
Mutual-visibility and general position sets in Sierpiński triangle graphs
Danilo Korže, Aleksander Vesel
For a given graph \(G\), the general position problem asks for the largest set of vertices \(M \subseteq V(G)\) such that no three distinct vertices of \(M\) belong to a common sho…
Variety of mutual-visibility problems in hypercubes
Danilo Korže, Aleksander Vesel
Let be a graph and . Vertices are -visible if there exists a shortest -path of that does not pass through any vertex of $M \setminus…
Mutual-visibility sets in Cartesian products of paths and cycles
Danilo Korže, Aleksander Vesel
For a given graph , the mutual-visibility problem asks for the largest set of vertices with the property that for any pair of vertices there exist…