How many vertices must we delete from a graph so that it no longer contains a path \(P_k\) on \(k\) vertices? We explore this question for various special graphs (hypercubes, square lattice graphs) as well as for some general families.
Citation
Paul Erdés, Ralph Faudree, Edward T. Ordman, Cecil Rousseau, Richard Schelp . Blocking Sets for Paths of a Given Length[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 040. 65-78. DOI: .