Title of article :
Computing the Hosoya and the Merrifield-Simmons Indices of Two Special Benzenoid Systems
Author/Authors :
SINAN OZ, MERT Faculty of Engineering and Natural Sciences - Department of Mathematics - Bursa Technical University - Bursa, Turkey , NACI CANGUL, ISMAIL Faculty of Arts and Science - Department of Mathematics - Bursa Uludag University - Bursa, Turkey
Abstract :
Gutman et al. gave some relations for computing the Hosoya
indices of two special benzenoid systems 𝑅n and 𝑃n . In this
paper, we compute the Hosoya index and Merrifield-Simmons
index of 𝑅n and 𝑃n by means of introducing four vectors for each
benzenoid system and index. As a result, we compute the Hosoya
index and the Merrifield-Simmons index of 𝑅n and 𝑃n by means
of a product of a certain matrix of degree 𝑛 and a certain vector.
Keywords :
Benzenoid systems , Hexagonal systems , Hosoya index , Merrifield-Simmons index
Journal title :
Iranian Journal of Mathematical Chemistry
