Abstract: If each vertex in a connected graph is labeled such that the values correspond one-to-one with the natural number set from 1 to the sum of vertices and edges, and if the sum of labels of ...

Abstract: Smart grids integrate communication systems with power networks to enable power grids operation and command through real-time data collection and control signals. Designing, analyzing, and ...

A graph is a mathematical structure used to model pairwise relations between objects. It is made up of vertices (also called nodes or points) which are connected by edges (also called links or lines).

The carrier’s Connected Life platform, now available nationwide, lets AT&T customers easily set up a smart home security system. Previously available as a pilot program in select markets, AT&T ...