A Simple LP-Based Approximation Algorithm for the Matching Augmentation Problem

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

A simple approximation algorithm for the weighted matching problem

A 1.75 LP approximation for the Tree Augmentation Problem

In the Tree Augmentation Problem (TAP) the goal is to augment a tree T by a minimum size edge set F from a given edge set E such that T ∪F is 2-edge-connected. The best approximation ratio known for TAP is 1.5. In the more general Weighted TAP problem, F should be of minimum weight. Weighted TAP admits several 2-approximation algorithms w.r.t. to the standard cut LP-relaxation, but for all of t...

An LP 7/4-approximation for the Tree Augmentation Problem

In the Tree Augmentation Problem (TAP) the goal is to augment a tree T by a minimum size edge set F from a given edge set E such that T ∪ F is 2-edge-connected. The best known approximation ratio for the problem is 1.5 [5, 12]. Several paper analysed integrality gaps of LP and SDP relaxations for the problem. In [13] is given a simple LP with gap 1.5 for the case when every edge in E connects t...

A Self-stabilizing -Approximation Algorithm for the Maximum Matching Problem

The matching problem asks for a large set of disjoint edges in a graph. It is a problem that has received considerable attention in both the sequential and self-stabilizing literature. Previous work has resulted in self-stabilizing algorithms for computing a maximal ( 2 -approximation) matching in a general graph, as well as computing a 3 -approximation on more specific graph types. In the foll...