Computing the Hosoya and the Merrifield-Simmons Indices of Two Special Benzenoid Systems
نویسندگان
1 Faculty of Engineering and Natural Sciences, Department of Mathematics, Bursa Technical University, 16320 Bursa, Turkey
2 Faculty of Arts and Science, Department of Mathematics, Bursa Uludag University, 16059 Bursa, Turkey
doi
10.22052/ijmc.2021.243008.1580چکیده
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.