… For any tree T rooted at a vertex r, if there exists a vertex r ′ ∈ N ( r ) such that r ′ is not a
… the spectral radius of this weighted graph is larger than 2b by showing that ϕ ( 4 b 2 ) ≤ 0 as …

… We will denote graph matrices of a weighted graph by a tilde to distinguish them from … a
spanning tree, or ±1, when that corresponding graph is a spanning tree. Thus, we have shown: …

… at the local spectral descriptors of each image as points and … the original graph using the
minimum spanning tree through the … We compute the initial state by taking the square root of the …

… tree for the unweighted graph from Fig. 1(a). (b) A spanning tree for the weighted graph from
… N, within a graph while the eigenvalues represent the roots of the characteristic polynomial, …

… ) spectra with two different structures are determined. As applications, the number of spanning
trees … generalized adjacency spectra of weighted G 1 ♢ G 2 with two different copy graphs. …

… assumption is that the weights in 𝑇𝑖 are decreasing along any path from the root 𝑝. …
Towards an SDP-based approach to spectral methods: A nearly-linear-time algorithm for graph …

… of maximizing the weighted number of spanning trees in a connected graph by adding at …
solution to integers using spectral sparsification. Since spectral approximation is preserved …

… left graph, assumed to come from SBM(n, 2, 3/n, 2/n), the root … if the underlying graph were
a tree instead of an SBM. In the … a weighted graph, we would first have to consider what the …

… (eg colorings or cuts) on the graph spectrum. Specifically, the planted structure corresponds
… visible in the spectrum or local statistics. To illustrate this further, we give similar results for a …

… spectrum. We demonstrate our findings by considering trees, antitrees and Cayley graphs of
… bounds for discrete (unbounded) Laplacians on weighted graphs (see [5, 39]). On the one …