The robust vertex centdian location problem with interval vertex weights on general graphs

Authors

Abstract:

In this paper, the robust vertex centdian  location  problem with uncertain vertex weights on general graphs is studied. The used criterion to solve the problem is the min-max  regret criterion. This problem  is  investigated  with objective function contains $lambda$  and  a polynomial time algorithm for the problem is presented. It is shown that the vertex centdian problem on general graphs is solved in cubic  time.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Capacitated k-Center Problem with Vertex Weights

We study the capacitated k-center problem with vertex weights. It is a generalization of the well known k-center problem. In this variant each vertex has a weight and a capacity. The assignment cost of a vertex to a center is given by the product of the weight of the vertex and its distance to the center. The distances are assumed to form a metric. Each center can only serve as many vertices as...

full text

Constructing vertex decomposable graphs

‎Recently‎, ‎some techniques such as adding whiskers and attaching graphs to vertices of a given graph‎, ‎have been proposed for constructing a new vertex decomposable graph‎. ‎In this paper‎, ‎we present a new method for constructing vertex decomposable graphs‎. ‎Then we use this construction to generalize the result due to Cook and Nagel‎.

full text

Packing interval graphs with vertex-disjoint triangles

We show that there exists a polynomial algorithm to pack interval graphs with vertex-disjoint triangles.

full text

The Vertex Isoperimetric Problem on Kneser Graphs

For a simple graph G = (V,E), the vertex boundary of a subset A ⊆ V consists of all vertices not in A that are adjacent to some vertex in A. The goal of the vertex isoperimetric problem is to determine the minimum boundary size of all vertex subsets of a given size. In particular, define μG(r) as the minimum boundary size of all vertex subsets of G of size r. Meanwhile, the vertex set of the Kn...

full text

Improved complexity results for the robust mean absolute deviation problem on networks with linear vertex weights

In a recent paper [10], an algorithmic approach was presented for the robust (minmax regret) absolute deviation location problem on networks with vertex weights which are linear functions of an uncertain or dynamically changing parameter. In this paper, we present algorithmic and analytical improvements that significantly reduce the computational complexity bounds for the algorithm.

full text

Polynomial-Time Algorithms for the Subset Feedback Vertex Set Problem on Interval Graphs and Permutation Graphs

Given a vertex-weighted graph G = (V,E) and a set S ⊆ V , a subset feedback vertex set X is a set of the vertices of G such that the graph induced by V \ X has no cycle containing a vertex of S. The Subset Feedback Vertex Set problem takes as input G and S and asks for the subset feedback vertex set of minimum total weight. In contrast to the classical Feedback Vertex Set problem which is obtai...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 8  issue 3

pages  15- 26

publication date 2022-11

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

No Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023