Some results on the Wiener index of iterated line graphs

DOI10.1016/j.endm.2005.06.081zbMath1186.05046OpenAlexW2087286132MaRDI QIDQ3439383

Andrey A. Dobrynin, Leonid S. Mel'nikov

Publication date: 29 May 2007

Published in: Electronic Notes in Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.endm.2005.06.081

zbMATH Keywords

distanceline graphWiener index

Mathematics Subject Classification ID

Trees (05C05) Applications of graph theory (05C90) Distance in graphs (05C12) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (8)

Wiener index of graphs and their line graphs ⋮ Investigating several fundamental properties of random lobster trees and random spider trees ⋮ On a conjecture about Wiener index in iterated line graphs of trees ⋮ Relationship between the edge-Wiener index and the Gutman index of a graph ⋮ An inequality between the edge-Wiener index and the Wiener index of a graph ⋮ Open quipus with the same Wiener index as their quadratic line graph ⋮ The Wiener index in iterated line graphs ⋮ Vertex-based and edge-based centroids of graphs

Cites Work

• Wiener index of hexagonal systems
• Wiener index for graphs and their line graphs with arbitrary large cyclomatic numbers
• Wiener index of generalized stars and their quadratic line graphs
• Wiener index of trees: Theory and applications
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