On the Terminal Distance Matrix of Graphs

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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Publication Details

Journal
Iranian Journal of Mathematical Sciences and Informatics
Published
2025-04-01
DOI
https://doi.org/10.61186/ijmsi.20.1.231
Primary Topic
Graph theory and applications
Type
article
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article

On the Terminal Distance Matrix of Graphs

Abbas Heydari
Iranian Journal of Mathematical Sciences and Informatics
Graph theory and applications
article

On the Terminal Distance Matrix of Graphs

Abbas Heydari
article en

Abstract

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.

Iranian Journal of Mathematical Sciences and InformaticsVol. 20(1)
Arak University of Technology (IR)
Openalex Percentile: Top 84%
Graph theory and applications
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On the Terminal Distance Matrix of Graphs — Abbas Heydari · Iranian Journal of Mathematical Sciences and Informatics (2025) | TGRS Research Map | TGRS