On extremal multiplicative Zagreb indices of trees with given number of vertices of maximum degree

DOI10.1016/j.dam.2017.04.024zbMath1365.05054arXiv1611.07137OpenAlexW2552493848MaRDI QIDQ2357144

Jia-Bao Liu, Lin Chen, Chunxiang Wang, Shaohui Wang

Publication date: 19 June 2017

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07137

zbMATH Keywords

maximum degreemultiplicative Zagreb indicesextremal bounds

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Vertex degrees (05C07)

Related Items (11)

General multiplicative Zagreb indices of trees and unicyclic graphs with given matching number ⋮ Maximizing and minimizing multiplicative Zagreb indices of graphs subject to given number of cut edges ⋮ General multiplicative Zagreb indices of trees ⋮ Resistance distances in corona and neighborhood corona networks based on Laplacian generalized inverse approach ⋮ On the fault-tolerant metric dimension of convex polytopes ⋮ Unified extremal results of topological indices and spectral invariants of graphs ⋮ Unnamed Item ⋮ General multiplicative Zagreb indices of trees with given independence number ⋮ Extremal multiplicative Zagreb indices among trees with given distance k-domination number ⋮ Distance-based indices of complete m-ary trees ⋮ Relations between ordinary and multiplicative degree-based topological indices

Cites Work

• Zagreb indices of transformation graphs and total transformation graphs
• Asymptotic Laplacian-energy-like invariant of lattices
• Multiplicative Zagreb indices of \(k\)-trees
• On extremal Zagreb indices of trees with given domination number
• On difference of Zagreb indices
• Note on the multiplicative Zagreb indices
• The Szeged and the Wiener index of graphs
• Note on two generalizations of the Randić index
• On the edge-version atom-bond connectivity and geometric arithmetic indices of certain graph operations
• Structure properties of Koch networks based on networks dynamical systems
• Sharp upper bounds for multiplicative Zagreb indices of bipartite graphs with given diameter
• Sharp bounds of the hyper-Zagreb index on acyclic, unicylic, and bicyclic graphs
• Multiplicative Zagreb indices of cacti
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