An Introduction To The Theory Of Graph Spectra

By Sarah Rothstein. 2016

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Spectra of the neighbourhood corona of two graphs (2012, background): “The A-spectrum of K p,q [1,3] consists of ±√pq with multiplicity one, and 0 with multiplicity p+q −2.”
Spectra of graph operations based on R-graph (2015, methodology): “[3] Cvetković DM, Rowlinson P, Simić S.An introduction to the theory of graph spectra.”
Hermitian-adjacency matrices and Hermitian energies of mixed graphs (2015, unknown): “The fact that elementary subgraphs are rather loosely related to the structure of a mixed graph helps to explain why there are many pairs of non-isomorphic mixed graphs having the same spectrum, see examples of undirected graphs [10].”
On the $A_{\alpha}$-spectra of trees (2016, background): “The family of these graphs was ﬁrst outlined by J.H. Smith in [12], who showed that any connected graph with spectral radius at most 2 is an induced subgraph of some of them (see also [3], p. 92).”