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We give the crossing number of the join product
is the wheel on five vertices and
isolated vertices. The proof is based on calculating the minimum number of crossings between two different subgraphs from the set of subgraphs which do not cross the edges of the graph
and from the set of subgraphs which cross the edges of
We extend known results concerning crossing numbers by giving the crossing
number of the join product
, where the connected graph
consists of one
-cycle and of two leaves incident with the same vertex of
isolated vertices. The proofs are done with the help of
software that generates all cyclic permutations for a given number
and creates a graph for calculating the distances between
vertices of the graph.
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