Geodesic
Bounds for index of a modified graph
Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 2, pp. 213-221

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If a graph is connected then the largest eigenvalue (i.e., index) generally changes (decreases or increases) if some local modifications are performed. In this paper two types of modifications are considered:
Keywords: graph, eigenvalue, principal eigenvector 
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     author = {Zhou, Bo},
     title = {Bounds for index of a modified graph},
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Zhou, Bo. Bounds for index of a modified graph. Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 2, pp. 213-221. http://geodesic.mathdoc.fr/item/DMGT_2004_24_2_a4/