Further study of eccentricity based indices for benzenoid hourglass network
Hifza Iqbal,
Muhammad Haroon Aftab,
Ali Akgul,
Zeeshan Saleem Mufti,
Iram Yaqoob,
Mustafa Bayram,
Muhammad Bilal Riaz
Affiliations
Hifza Iqbal
Department of Mathematics and Statistics, The University of Lahore, Lahore, 54500, Pakistan
Muhammad Haroon Aftab
Department of Mathematics and Statistics, The University of Lahore, Lahore, 54500, Pakistan
Ali Akgul
Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Siirt University, Art and Science Faculty, Department of Mathematics, 56100, Siirt, Turkey; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia, Mersin, 10, Turkey
Zeeshan Saleem Mufti
Department of Mathematics and Statistics, The University of Lahore, Lahore, 54500, Pakistan
Iram Yaqoob
Department of Mathematics and Statistics, The University of Lahore, Lahore, 54500, Pakistan
Mustafa Bayram
Department of Computer Engineering, Biruni University, 34010, Topkapı, Istanbul, Turkey
Muhammad Bilal Riaz
Faculty of Applied Physics and Mathematics, Gdansk University of Technology, Poland; Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon; Department of Mathematics, University of Management and Technology, Pakistan; Corresponding author. Faculty of Applied Physics and Mathematics, Gdansk University of Technology, Poland.
Topological Indices are the mathematical estimate related to atomic graph that corresponds biological structure with several real properties and chemical activities. These indices are invariant of graph under graph isomorphism. If top(h1) and top(h2) denotes topological index h1 and h2 respectively then h1 approximately equal h2 which implies that top(h1) = top(h2). In biochemistry, chemical science, nano-medicine, biotechnology and many other science's distance based and eccentricity-connectivity(EC) based topological invariants of a network are beneficial in the study of structure-property relationships and structure-activity relationships. These indices help the chemist and pharmacist to overcome the shortage of laboratory and equipment. In this paper we calculate the formulas of eccentricity-connectivity descriptor(ECD) and their related polynomials, total eccentricity-connectivity(TEC) polynomial, augmented eccentricity-connectivity(AEC) descriptor and further the modified eccentricity-connectivity(MEC) descriptor with their related polynomials for hourglass benzenoid network.
