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Lower bounds for the number of inlets of hexagonal systems
Author(s) -
Cruz Roberto,
Duque Frank,
Rada Juan
Publication year - 2020
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.26358
Subject(s) - hexagonal crystal system , inlet , combinatorics , set (abstract data type) , mathematics , cove , harmonic mean , geometry , chemistry , crystallography , computer science , geology , geomorphology , programming language
The number of inlets of a hexagonal system H is denoted by r ( H ) and defined as the sum of the fissures, bays, coves, and fjords of H . It is well known that the parameter r plays an important role in the theory of molecular descriptors. Let Λ n and Γ m denote the set of hexagonal systems with n vertices and m edges, respectively. In this paper we find sharp lower bounds for the number of inlets on Λ n and Γ m . As a consequence, we determine extremal values of the Randić, harmonic, and geometric‐arithmetic indices over Λ n and Γ m .