The crossing numbers of join products of paths with three graphs of order five
Michal Staš, Mária Švecová · Opuscula Mathematica · 2022
The main aim of this paper is to give the crossing number of the join product G * + P n for the disconnected graph G * of order five consisting of the complete graph K 4 and one isolated vertex, where P n is the path on n vertices.The proofs are done with the help of a lot of well-known exact values for the crossing numbers of the join products of subgraphs of the graph G * with the paths.Finally, by adding new edges to the graph G * , we are able to obtain the crossing numbers of the join products of two other graphs with the path P n .