Let 𝐺 be a graph with adjacency matrix 𝐴 (𝐺), and let 𝐷 (𝐺) be the diagonal matrix of the
degrees of 𝐺: The signless Laplacian 𝑄 (𝐺) of 𝐺 is defined as 𝑄 (𝐺)≔ 𝐴 (𝐺)+ 𝐷 (𝐺) …

Written for mathematicians working with the theory of graph spectra, this book explores more
than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs …

For a simple graph G of order n, size m and with signless Laplacian eigenvalues q 1, q 2,…,
qn, the signless Laplacian energy QE (G) is defined as QE (G)=∑ i= 1 n| qi− d‾|, where d‾= 2 …

Let G be a graph with adjacency matrix A (G) and let D (G) be the diagonal matrix of the
degrees of G. For any real α∈[0, 1], Nikiforov [8] defined the matrix A α (G) as A α (G)= α D …

Let G be a graph with adjacency matrix A (G) and let D (G) be the diagonal matrix of the
degrees of G. For every real α∈[0, 1], write A α (G) for the matrix A α (G)= α D (G)+(1− α) A …

Let G be a graph with adjacency matrix A (G) and with D (G) the diagonal matrix of its vertex
degrees. Nikiforov defined the matrix A α (G), with α∈[0, 1], as A α (G)= α D (G)+(1− α) A (G) …

Let G be a graph of order n with m edges and chromatic number χ. Let A (G) be the
adjacency matrix and D (G) be the diagonal matrix of vertex degrees of G. Nikiforov defined …

By separating control plane from data plane, software‐defined network (SDN) adopts
centralized controllers to manage data flows in the network. Nevertheless, the rapid growth …

Written for mathematicians working with the theory of graph spectra, this (primarily
theoretical) book presents relevant results considering the spectral properties of regular …

Confidence verification for intercepted signal analysis has important military applications
where a priori knowledge of the signal or transmission channel is insufficient or absent …