University of Kashan Mathematics Interdisciplinary Research 2538-3639 6 3 2021 09 01 On the Hosoya Index of Some Families of Graph 225 234 111532 10.22052/mir.2021.240266.1238 EN Fateme Movahedi Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran Mohammad Hadi Akhbari Department of Mathematics, Estahban Branch, Islamic Azad University, Estahban, Iran Hailiza Kamarulhaili School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia Journal Article 2020 09 02 ‎We obtain the exact relations of the Hosoya index that is defined as the sum of the number of all the matching sets‎, ‎on some classes of cycle-related graphs‎. ‎Moreover‎, ‎this index of three graph families‎, ‎namely‎, ‎chain triangular cactus‎, ‎Dutch windmill graph‎, ‎and Barbell graph is determined‎. Hosoya Index Helm graph graph lotus chain triangular cactus Dutch windmill graph https://mir.kashanu.ac.ir/article_111532_6da7a8236e2c51a1927c9a9c74ddc8bb.pdf