Title of article :
On the Hosoya Index of Some Families of Graph
Author/Authors :
Movahedi, Fateme Department of Mathematics - Faculty of Sciences - Golestan University, Gorgan, Iran , Akhbari, Mohammad Hadi Department of Mathematics - Islamic Azad University Estahban Branch, Estahban, Iran , Kamarulhaili, Hailiza School of Mathematical Sciences - Universiti Sains Malaysia, USM Penang, Malaysia
Abstract :
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.
Keywords :
Hosoya index , Helm graph , graph lotus , chain triangular cactus , Dutch windmill graph
Journal title :
Mathematics Interdisciplinary Research
