From the 1 of 4 linked papers with an AI index.
4 papers
General position sets in strong products with paths and cycles
Aleksander Vesel
The paper investigates general position sets in strong product graphs involving paths and cycles, deriving exact formulas, upper bounds, and counterexamples to a conjectured multip…
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 SierpiÅski 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…