Document Type : Research Paper
Faculty of Engineering and Natural Sciences, Department of Mathematics, Bursa Technical University, 16320 Bursa, Turkey
Faculty of Arts and Science, Department of Mathematics, Bursa Uludag University, 16059 Bursa, Turkey
Gutman et al. gave some relations for computing the Hosoya indices of two special benzenoid systems R_n and P_n. In this paper, we compute the Hosoya index and Merrifield-Simmons index of R_n and P_n 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 R_n and P_n by means of a product of a certain matrix of degree n and a certain vector.