Authors: Anđelić, Milica
Cardoso, Domingos
Simić, Slobodan 
Stanić, Zoran
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: The main vertices of a star set and related graph parameters
Journal: Discrete Mathematics
Volume: 344
Issue: 12
First page: 112593
Issue Date: 1-Dec-2021
Rank: ~M22
ISSN: 0012-365X
DOI: 10.1016/j.disc.2021.112593
Abstract: 
A vertex v∈V(G) is called λ-main if it belongs to a star set X⊂V(G) of the eigenvalue λ of a graph G and this eigenvalue is main for the graph obtained from G by deleting all the vertices in X∖{v}; otherwise, v is λ-non-main. Some results concerning main and non-main vertices of an eigenvalue are deduced. For a main eigenvalue λ of a graph G, we introduce the minimum and maximum number of λ-main v...
Keywords: Isomorphism problem | Main eigenvalue | Main vertex | Star set
Publisher: Elsevier

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