Computing the Hosoya and the Merrifield-Simmons Indices of Two Special Benzenoid Systems

Document Type : Research Paper

Authors

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

Abstract

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.

Keywords

References

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Iranian Journal of Mathematical Chemistry
Volume 12, Issue 3
September 2021
Pages 161-174

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