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Keywords

Graph spectra
Nullity of graphs

Abstract

In this paper, a high zero-sum weighting is applied to evaluate the nullity of a dendrimer graph   for some special graphs such as cycles, paths, complete graphs, complete bipartite graphs and  star graphs.  Finally, we introduce and prove a sharp lower and a sharp upper bound for the nullity of the coalescence graph of two graphs.  
https://doi.org/10.33899/csmj.2013.163548
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