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arXiv · 1307.5110

On the positive and negative inertia of weighted graphs

Shuchao Li·Feifei Song
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Abstract

The number of the positive, negative and zero eigenvalues in the spectrum of the (edge)-weighted graph $G$ are called positive inertia index, negative inertia index and nullity of the weighted graph $G$, and denoted by $i_+(G)$, $i_-(G)$, $i_0(G)$, respectively. In this paper, the positive and negative inertia index of weighted trees, weighted unicyclic graphs and weighted bicyclic graphs are discussed, the methods of calculating them are obtained.

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Shuchao Li, Feifei Song. 2013-07-19. On the positive and negative inertia of weighted graphs. https://arxiv.org/abs/1307.5110

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