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A unified approach to bounds for topological indices on trees and applications

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URI: https://hdl.handle.net/10016/36285
ISSN: 0340-6253
UXXI: AR/0000026467
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Unified_MATCH_2019.pdf (187.91 KB)
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2019-09
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MATCH
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The aim of this paper is to use a unified approach in order to obtain new inequalities for a large family of topological indices restricted to trees and to characterizethe set of extremal trees with respect to them. Our main results provide upperand lower bounds for a large class of topological indices on trees, fixing or not themaximum degree or the number of pendant vertices. This class includes the variablefirst Zagreb, the multiplicative second Zagreb, the Narumi-Katayama and the sumlordeg indices. In particular, our results on the sum lordeg index partially solve anopen problem on this index.
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Martínez-Pérez, Á. & Rodrígez, J. M.(2019). A unified approach to bounds for topological indices on trees and applications. MATCH Communications in Mathematical and in Computer Chemistry 82(3), 679-698.
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