University of KashanMathematics Interdisciplinary Research2538-36396320210901On the Hosoya Index of Some Families of Graph22523411153210.22052/mir.2021.240266.1238ENFateme MovahediDepartment of Mathematics,
Faculty of Sciences, Golestan University, Gorgan, IranMohammad Hadi AkhbariDepartment of Mathematics,
Estahban Branch, Islamic Azad University, Estahban, IranHailiza KamarulhailiSchool of Mathematical Sciences,
Universiti Sains Malaysia,
11800 USM Penang, MalaysiaJournal Article20200902We 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.https://mir.kashanu.ac.ir/article_111532_6da7a8236e2c51a1927c9a9c74ddc8bb.pdf