On estimation of extremal entries of the principal eigenvector of a graph

Autor: Prohelika Das, Bipanchy Buzarbarua
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AKCE International Journal of Graphs and Combinatorics, Pp 1-8 (2024)
Druh dokumentu: article
ISSN: 09728600
2543-3474
0972-8600
DOI: 10.1080/09728600.2024.2411951
Popis: Let [Formula: see text] be the principal eigenvector corresponding to the spectral radius [Formula: see text] of a graph G of order n. In this paper, we find some bounds on the ratio of the maximal component [Formula: see text] to the minimal component [Formula: see text] of the principal eigenvector X in terms of the graph parameters such as the independence number [Formula: see text], the minimum vertex cover number of the vertex [Formula: see text] and the chromatic number [Formula: see text]. Also, we present some bounds on the extremal component [Formula: see text] of the principal eigenvector X. An upper bound of the spectral radius [Formula: see text] of G in terms of the minimum vertex cover number [Formula: see text] and order of the graph n is also introduced in this paper.
Databáze: Directory of Open Access Journals
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