—In this paper, we will study a special Connected Dominating Set (CDS) problem — between any two nodes in a network, there exists at least one shortest path, all of whose inter...
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...
Abstract—In this paper we ask which properties of a distributed network can be computed from a few amount of local information provided by its nodes. The distributed model we con...
Partial Cover problems are optimization versions of fundamental and well studied problems like Vertex Cover and Dominating Set. Here one is interested in covering (or dominating) ...
Fedor V. Fomin, Daniel Lokshtanov, Venkatesh Raman...
Spectral methods for nonlinear dimensionality reduction (NLDR) impose a neighborhood graph on point data and compute eigenfunctions of a quadratic form generated from the graph. W...