1

January 2018
SODA '18: Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms

**Publisher:** Society for Industrial and Applied Mathematics

**Bibliometrics**:

Citation Count: 0

Downloads (6 Weeks): 6, Downloads (12 Months): 6, Downloads (Overall): 6

Full text available:

PDF
Clustering problems are well-studied in a variety of fields such as data science, operations research, and computer science. Such problems include variants of centre location problems, k -median, and k -means to name a few. In some cases, not all data points need to be clustered; some may be discarded ...

2

May 2016
Algorithmica: Volume 75 Issue 1, May 2016

**Publisher:** Springer-Verlag New York, Inc.

In this paper, we consider the Unsplittable (hard) Capacitated Facility Location Problem (UCFLP) with uniform capacities and present new approximation algorithms for it. This problem is a generalization of the classical facility location problem where each facility can serve at most u units of demand and each client must be ...

**Keywords**:
Capacitated facility location, Hard capacities, Approximation algorithms

3

February 2016
Journal of Combinatorial Optimization: Volume 31 Issue 2, February 2016

**Publisher:** Springer-Verlag New York, Inc.

In this paper we give improved approximation algorithms for some network design problems. In the bounded-diameter or shallow-light $$k$$k-Steiner tree problem (SL$$k$$kST), we are given an undirected graph $$G=(V,E)$$G=(V,E) with terminals $$T\subseteq V$$T⊆V containing a root $$r\in T$$r�T, a cost function $$c:E\rightarrow \mathbb {R}^+$$c:E�R+, a length function $$\ell :E\rightarrow \mathbb ...

**Keywords**:
$$k$$k-edge connected, Approximation algorithms, Steiner tree, Combinatorial optimization, Network design

4

September 2015
Algorithmica: Volume 73 Issue 1, September 2015

**Publisher:** Springer-Verlag New York, Inc.

Given a metric $$(V,d)$$(V,d) and an integer $$k$$k, we consider the problem of partitioning the points of $$V$$V into at most $$k$$k clusters so as to minimize the sum of radii or the sum of diameters of these clusters. The former problem is called the minimum sum of radii (MSR) ...

**Keywords**:
Euclidean metric, Minimum sum radii and diameters, Clustering

5

January 2014
ACM Transactions on Algorithms (TALG): Volume 10 Issue 1, January 2014

**Publisher:** ACM

**Bibliometrics**:

Citation Count: 1

Downloads (6 Weeks): 0, Downloads (12 Months): 14, Downloads (Overall): 158

Full text available:

PDF
We consider the unsplittable flow problem on a line. In this problem, we are given a set of n tasks, each specified by a start time s i , an end time t i , a demand d i > 0, and a profit p i > 0. A task, ...

**Keywords**:
Approximation algorithms, scheduling, unsplittable flow, resource allocation problem

6

February 2013
Algorithmica: Volume 65 Issue 2, February 2013

**Publisher:** Springer-Verlag New York, Inc.

We study two-stage robust variants of combinatorial optimization problems on undirected graphs, like Steiner tree, Steiner forest, and uncapacitated facility location. Robust optimization problems, previously studied by Dhamdhere et al. (Proc. of 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05), pp. 367---378, 2005), Golovin et al. (Proc. of ...

**Keywords**:
Robust facility location, Robust network design, Robust Steiner forest, Robust Steiner tree, Approximation algorithms, Hardness of approximation

7

July 2012
SWAT'12: Proceedings of the 13th Scandinavian conference on Algorithm Theory

**Publisher:** Springer-Verlag

Given a metric ( V , d ) and an integer k , we consider the problem of covering the points of V with at most k clusters so as to minimize the sum of radii or the sum of diameters of these clusters. The former problem is called the ...

**Keywords**:
clustering, minimum sum radii and diameters, Euclidean

8

July 2012
SWAT'12: Proceedings of the 13th Scandinavian conference on Algorithm Theory

**Publisher:** Springer-Verlag

In this paper, we consider the Unsplittable (hard) Capacitated Facility Location Problem (UCFLP) with uniform capacities and present some new approximation algorithms for it. This problem is a generalization of the classical facility location problem where each facility can serve at most u units of demand and each client must ...

**Keywords**:
Euclidean metrics, approximation algorithms, unsplittable capacitated facility location problem

9

January 2010
SIAM Journal on Computing: Volume 39 Issue 5, January 2010

**Publisher:** Society for Industrial and Applied Mathematics

Buy-at-bulk network design problems arise in settings where the costs for purchasing or installing equipment exhibit economies of scale. The objective is to build a network of cheapest cost to support a given multicommodity flow demand between node pairs. We present approximation algorithms for buy-at-bulk network design problems with costs ...

**Keywords**:
concave cost, network design, network flow, approximation algorithm, economies of scale, nonuniform buy-at-bulk

10

January 2010
SIAM Journal on Computing: Volume 39 Issue 5, January 2010

**Publisher:** Society for Industrial and Applied Mathematics

Buy-at-bulk network design problems arise in settings where the costs for purchasing or installing equipment exhibit economies of scale. The objective is to build a network of cheapest cost to support a given multicommodity flow demand between node pairs. We present approximation algorithms for buy-at-bulk network design problems with costs ...

**Keywords**:
network flow, approximation algorithm, economies of scale, nonuniform buy-at-bulk, concave cost, network design

11

January 2009
Algorithmica: Volume 53 Issue 1, January 2009

**Publisher:** Springer-Verlag New York, Inc.

We study two related network design problems with two cost functions. In the buy-at-bulk k-Steiner tree problem we are given a graph G(V,E) with a set of terminals T⊆V including a particular vertex s called the root, and an integer k≤|T|. There are two cost functions on the edges of ...

12

August 2006
APPROX'06/RANDOM'06: Proceedings of the 9th international conference on Approximation Algorithms for Combinatorial Optimization Problems, and 10th international conference on Randomization and Computation

**Publisher:** Springer-Verlag

We study two related network design problems with two cost functions. In the buy-at-bulk k -Steiner tree problem we are given a graph G ( V , E ) with a set of terminals T ⊆ V including a particular vertex s called the root, and an integer k ≤| ...

13

April 2006
Graphs and Combinatorics: Volume 22 Issue 1, April 2006

**Publisher:** Springer-Verlag

Given a planar graph G , what is the largest subset of vertices of G that induces a forest? Albertson and Berman [2] conjectured that every planar graph has an induced subgraph on at least half of the vertices that is a forest. For bipartite planar graphs, Akiyama and Wanatabe ...