Perturbations in a Signed Graph and its Index

In this paper we consider the behaviour of the largest eigenvalue (also called the index) of signed graphs under small perturbations like adding a vertex, adding an edge or changing the sign of an edge. We also give a partial ordering of signed cacti with common underlying graph by their indices and...

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Bibliographic Details
Main Author: Stanić Zoran
Format: Article
Language:English
Published: Sciendo 2018-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:http://www.degruyter.com/view/j/dmgt.2018.38.issue-3/dmgt.2035/dmgt.2035.xml?format=INT