General eccentric connectivity index of trees and unicyclic graphs

DOI10.1016/j.dam.2020.03.051zbMath1443.05044OpenAlexW3015909957MaRDI QIDQ777397

Mesfin Masre, Tomáš Vetrík

Publication date: 7 July 2020

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

Full work available at URL: https://doi.org/10.1016/j.dam.2020.03.051

zbMATH Keywords

treediameterunicyclic grapheccentric connectivity indexpendant vertex

Mathematics Subject Classification ID

Trees (05C05) Connectivity (05C40) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Related Items (19)

On the general degree-eccentricity index of a graph ⋮ The general Albertson irregularity index of graphs ⋮ General sum-connectivity index of trees with given number of branching vertices ⋮ Zeroth-order general Randić index of trees with given distance k-domination number ⋮ General sum-connectivity index of unicyclic graphs with given diameter and girth ⋮ General sum-connectivity index of unicyclic graphs with given diameter ⋮ General Gutman Index of a Graph ⋮ General Randić index of trees with given number of branching vertices ⋮ Eccentric connectivity coindex of bipartite graphs ⋮ Unnamed Item ⋮ On the eccentric connectivity index of \(k\)-uniform hyper-cacti ⋮ Unnamed Item ⋮ General Randić index of unicyclic graphs with given diameter ⋮ On the difference between the eccentric connectivity index and eccentric distance sum of graphs ⋮ General degree-eccentricity index of trees ⋮ General degree distance of graphs ⋮ Multiplicative version of eccentric connectivity index ⋮ General eccentric distance sum of graphs ⋮ General Randić index of unicyclic graphs with given girth and diameter

Cites Work

• On the eccentric connectivity index of a graph
• Extremal graphs of given parameters with respect to the eccentricity distance sum and the eccentric connectivity index
• On the minimal eccentric connectivity indices of bipartite graphs with some given parameters
• On the second Zagreb eccentricity indices of graphs
• Eccentric connectivity coindex under graph operations
• On eccentric connectivity index
• Eccentric Connectivity Index of Chemical Trees
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