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Iranian Journal of Mathematical Sciences and Informatics
Article . 2025 . Peer-reviewed
License: CC BY NC
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Article . 2025
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On the Terminal Distance Matrix of Graphs

On the terminal distance matrix of graphs
Authors: Heydari, Abbas;

On the Terminal Distance Matrix of Graphs

Abstract

Summary: Let \(G\) be a simple connected graph. The terminal distance matrix of \(G\) is the distance matrix between all pendant vertices of \(G\). In this paper, we study the terminal distance matrix and compute the characteristic polynomial of this matrix for some rooted trees. Also we obtain lower bounds for the spectral radius of the terminal distance matrix of graphs and characterize those graphs for which the bounds are best possible.

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Keywords

Distance in graphs, Graphs and linear algebra (matrices, eigenvalues, etc.), terminal distance spectral radius, terminal distance matrix, terminal Wiener index

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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