A 4/3-approximation for Minimum Weight Edge Cover Steven Alec Gallagher 10.25394/PGS.12126774.v1 https://hammer.purdue.edu/articles/thesis/A_4_3-approximation_for_Minimum_Weight_Edge_Cover/12126774 This paper addresses the minimum weight edge cover problem (MEC), which is stated as follows: Given a graph <i>G= (V,E)</i>, find a set of edges <i>S:S⊆E </i>and ∑<sub>e∈S</sub><sup>w(e) </sup></∑<sub>e∈Q<sup>w(e)</sup>∀Q: Q is an edge cover. Where an edge cover <i>P</i> is a set of edges such that ∀v∈V <i>v</i> is incident to at least one edge in <i>P</i>. An efficient implementation of a 4/3-approximation for MEC is provided. Empirical results obtained experimentally from practical data sets are reported and compared against various other approximation algorithms for MEC.<br> 2020-04-17 02:07:53 MEM edge cover MWM matching approximation Applied Computer Science