Relationship between the eccentric connectivity index and Zagreb indices

DOI10.1016/j.camwa.2011.06.017zbMath1231.05256OpenAlexW1967205487MaRDI QIDQ660802

Kinkar Chandra Das, Nenad Trinajstić

Publication date: 5 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.06.017

zbMATH Keywords

molecular graphchemical treeeccentric connectivity index \((\xi ^{C})\)first Zagreb index \((M_{1})\)second Zagreb index \((M_{2})\)

Mathematics Subject Classification ID

Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Vertex degrees (05C07)

Related Items (9)

Pharmacological Characteristics Analysis of Two Molecular Structures ⋮ The relationship between the eccentric connectivity index and Zagreb indices ⋮ Comparison between the Wiener index and the Zagreb indices and the eccentric connectivity index for trees ⋮ On the minimal eccentric connectivity indices of bipartite graphs with some given parameters ⋮ On the difference between the eccentric connectivity index and eccentric distance sum of graphs ⋮ New distance-based graph invariants and relations among them ⋮ On the eccentric connectivity index of uniform hypergraphs ⋮ Extremal trees of given segment sequence with respect to some eccentricity-based invariants ⋮ Comparison between the Szeged index and the eccentric connectivity index

Cites Work

• On the eccentric connectivity index of a graph
• The eccentric connectivity index of nanotubes and nanotori
• Some properties of the reformulated Zagreb indices
• New upper bounds on Zagreb indices
• Comparing the Zagreb indices for graphs with small difference between the maximum and minimum degrees
• On the path-Zagreb matrix
• Application of graph theory: Relationship of eccentric connectivity index and Wiener's index with anti-inflammatory activity
• Maximizing the sum of the squares of the degrees of a graph
• Sharp bounds for the second Zagreb index of unicyclic graphs
• On eccentric connectivity index
• Eccentric Connectivity Index of Chemical Trees
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