Overhauls set scientists on edge

Europe overhauls physician mobility regulations.

Set-Theoretic Preliminaries for Computer Scientists

The basics of set theory are usually copied, directly or indirectly, by computer scientists from introductions to mathematical texts. Often mathematicians are content with special cases when the general case is of no mathematical interest. But sometimes what is of no mathematical interest is of great practical interest in computer science. For example, non-binary relations in mathematics tend t...

Edge-Dominating Set Problem

We study the approximability of the weighted edge-dominating set problem. Although even the unweighted case is NP-Complete, in this case a solution of size at most twice the minimum can be efficiently computed due to its close relationship with minimum maximal matching; however, in the weighted case such a nice relationship is not known to exist. In this paper, after showing that weighted edge ...

The power edge set problem

The automated real time control of an electrical network is achieved through the estimation of its state using phasor measurement units. Given an undirected graph representing the network, we study the problem of finding the minimum number of phasor measurement units to place on the edges such that the graph is fully observed. This problem is also known as the Power Edge Set problem, a variant ...

An FPT algorithm for edge subset feedback edge set

Given a graph G = (V,E) with a subset S ⊆ E of edges, the edge subset feedback edge set problem is to find a smallest set F of edges such that in G′ = (V,E − F ) no cycle contains an edge in S. We also define a restricted version of this problem, in which no edges in S is allowed to be selected into F to form a solution. In this paper, we give a linear-time algorithm for the edge subset feedbac...