On the difference between the eccentric connectivity index and eccentric distance sum of graphs

DOI10.1007/s40840-020-01015-5zbMath1469.05049arXiv2005.02635OpenAlexW3086581499MaRDI QIDQ2021686

Yaser Alizadeh, Sandi Klavžar

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02635

zbMATH Keywords

treeeccentricityeccentric distance sumeccentric connectivity index

Mathematics Subject Classification ID

Trees (05C05) Distance in graphs (05C12) Connectivity (05C40) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Related Items (4)

Leap eccentric connectivity index in graphs with universal vertices ⋮ Unnamed Item ⋮ Multiplicative version of eccentric connectivity index ⋮ On (almost) \(2\)-\(Y\)-homogeneous distance-biregular graphs

Cites Work

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• Some extremal results on the connective eccentricity index of graphs
• On the eccentric distance sum of graphs
• Relationship between the eccentric connectivity index and Zagreb indices
• General eccentric connectivity index of trees and unicyclic graphs
• On the extremal values of the eccentric distance sum of trees with a given maximum degree
• On the degree distance of unicyclic graphs with given matching number
• Connectivity, diameter, minimal degree, independence number and the eccentric distance sum of graphs
• Extremal graphs of given parameters with respect to the eccentricity distance sum and the eccentric connectivity index
• On eccentric distance sum and degree distance of graphs
• Eccentric distance sum: A novel graph invariant for predicting biological and physical properties
• Maximum eccentric connectivity index for graphs with given diameter
• On the maximum value of the eccentric distance sums of cubic transitive graphs
• Comparison and extremal results on three eccentricity-based invariants of graphs
• Comparison between the Szeged index and the eccentric connectivity index
• On two eccentricity-based topological indices of graphs
• Unicyclic and bicyclic graphs having minimum degree distance
• On the eccentric connectivity index and Wiener index of a graph
• Eccentric Connectivity Index of Chemical Trees
• Further properties on the degree distance of graphs

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