Hosoya polynomial of the subdivided join
Keywords:Diameter, distance, Hosoya polynomial, $q$-vertex join, Wiener index
AbstractThe Hosoya polynomials of diameter 1 and diameter 2 graphs are known. We extend the concept of a vertex join of a graph to q-vertex join. Then we give the formula of the Hosoya polynomial of a $q$-vertex join of a complete graph and the formula of the Hosoya polynomial of a q-vertex join of a diameter 2 graph.
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