Wiener and Hosoya indices of reciprocal graphs

Abstract

Two types of topological indices, Wiener and Hosoya indices, of three classes of reciprocal graphs (namely

,

and

) have been shown to be expressed in terms of the number of pendant vertices (n). The Wiener index is expressed in analytical form whereas the Hosoya index is expressed either by recurrence relations or directly by matrix products for which a facile computer program can be written. It has also been shown that the Hosoya index of

can be obtained in analytical form.

Acknowledgement

Authors are thankful to the University Grants Commission, New Delhi, for granting financial assistance extended through DSA project in the Department of Chemistry, The University of Burdwan.