On the Hosoya Index of Some Families of Graph

نویسندگان
Akhbari, Mohammad Hadi ID 1
Kamarulhaili, Hailiza ID 2
Movahedi, Fateme ID 3

1 Department of Mathematics, Estahban Branch, Islamic Azad University, Estahban, Iran

2 School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Penang, Malaysia

3 Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran

doi
10.22052/mir.2021.240266.1238
چکیده

‎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.

کلیدواژه‌ها
Hosoya Index, Helm graph, graph lotus, chain triangular cactus, Dutch windmill graph