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19942023
most citedSpanning trees short or small

57 citations · 154 across the 36 of their papers we have counts for

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29 papers · 1 filter

cs.DS2022

Approximation algorithms for Steiner Tree Augmentation Problems

R. Ravi, Weizhong Zhang, Michael Zlatin

In the Steiner Tree Augmentation Problem (STAP), we are given a graph , a set of terminals , and a Steiner tree spanning . The edges $L := E \setmi…

cs.DS2022

Unit Perturbations in Budgeted Spanning Tree Problems

Hassene Aissi, Solal Attias, Da Qi Chen +1

The minimum spanning tree of a graph is a well-studied structure that is the basis of countless graph theoretic and optimization problem. We study the minimum spanning tree (MST) p…

cs.DS2021

On Small-Depth Tree Augmentations

Ojas Parekh, R. Ravi, Michael Zlatin

We study the Weighted Tree Augmentation Problem for general link costs. We show that the integrality gap of the ODD-LP relaxation for the (weighted) Tree Augmentation Problem for a…

cs.DS2021

Using Predicted Weights for Ad Delivery

Thomas Lavastida, Benjamin Moseley, R. Ravi +1

We study the performance of a proportional weights algorithm for online capacitated bipartite matching modeling the delivery of impression ads. The algorithm uses predictions on th…

cs.DS2021

A simple proof of the Moore-Hodgson Algorithm for minimizing the number of late jobs

Joseph Cheriyan, R. Ravi, Martin Skutella

The Moore-Hodgson Algorithm minimizes the number of late jobs on a single machine. That is, it finds an optimal schedule for the classical problem . Several proof…

cs.DS2020

An Optimal Rounding for Half-Integral Weighted Minimum Strongly Connected Spanning Subgraph

D Ellis Hershkowitz, Gregory Kehne, R. Ravi

In the weighted minimum strongly connected spanning subgraph (WMSCSS) problem we must purchase a minimum-cost strongly connected spanning subgraph of a digraph. We show that half-i…

cs.DS2019★ 1 cited

Downgrading to Minimize Connectivity

Hassene Aissi, Da Qi Chen, R. Ravi

We study the problem of interdicting a directed graph by deleting nodes with the goal of minimizing the local edge connectivity of the remaining graph from a given source to a sink…

cs.DS2019★ 3 cited

Inventory Routing Problem with Facility Location

Yang Jiao, R. Ravi

We study problems that integrate depot location decisions along with the inventory routing problem of serving clients from these depots over time balancing the costs of routing veh…

cs.DS2018

Prepare for the Expected Worst: Algorithms for Reconfigurable Resources Under Uncertainty

D Ellis Hershkowitz, R. Ravi, Sahil Singla

In this paper we study how to optimally balance cheap inflexible resources with more expensive, reconfigurable resources despite uncertainty in the input problem. Specifically, we…

cs.DS2017

Approximation Algorithms for Replenishment Problems with Fixed Turnover Times

Thomas Bosman, Martijn van Ee, Yang Jiao +3

We introduce and study a class of optimization problems we coin replenishment problems with fixed turnover times: a very natural model that has received little attention in the lit…

cs.DS2017★ 10 cited

Coloring Down: -approximation for special cases of the weighted tree augmentation problem

Jennifer Iglesias, R. Ravi

In this paper, we investigate the weighted tree augmentation problem (TAP), where the goal is to augment a tree with a minimum cost set of edges such that the graph becomes two edg…

cs.DS2017

Single-sink Fractionally Subadditive Network Design

Guru Guruganesh, Jennifer Iglesias, R. Ravi +1

We study a generalization of the Steiner tree problem, where we are given a weighted network together with a collection of subsets of its vertices and a root . We wish t…

cs.DS2017★ 2 cited

Shorter tours and longer detours: Uniform covers and a bit beyond

Arash Haddadan, Alantha Newman, R. Ravi

Motivated by the well known four-thirds conjecture for the traveling salesman problem (TSP), we study the problem of {\em uniform covers}. A graph has an -uniform cove…

cs.DS2016★ 1 cited

Algorithms for Automatic Ranking of Participants and Tasks in an Anonymized Contest

Yang Jiao, R. Ravi, Wolfgang Gatterbauer

We introduce a new set of problems based on the Chain Editing problem. In our version of Chain Editing, we are given a set of anonymous participants and a set of undisclosed tasks…

cs.DS2016

Plane Gossip: Approximating rumor spread in planar graphs

Jennifer Iglesias, Rajmohan Rajaraman, R Ravi +1

We study the design of schedules for multi-commodity multicast; we are given an undirected graph and a collection of source destination pairs, and the goal is to schedule a min…

cs.DS2016

LAST but not Least: Online Spanners for Buy-at-Bulk

Anupam Gupta, R. Ravi, Kunal Talwar +1

The online (uniform) buy-at-bulk network design problem asks us to design a network, where the edge-costs exhibit economy-of-scale. Previous approaches to this problem used tree- e…

cs.DS2014

Graph-TSP from Steiner Cycles

Satoru Iwata, Alantha Newman, R. Ravi

We present an approach for the traveling salesman problem with graph metric based on Steiner cycles. A Steiner cycle is a cycle that is required to contain some specified subset of…

cs.DS2013★ 3 cited

A 9/7-Approximation Algorithm for Graphic TSP in Cubic Bipartite Graphs

Jeremy Karp, R. Ravi

We prove new results for approximating Graphic TSP. Specifically, we provide a polynomial-time \frac{9}{7}-approximation algorithm for cubic bipartite graphs and a (\frac{9}{7}+\fr…

cs.DS2012

Approximation Algorithms for Online Weighted Rank Function Maximization under Matroid Constraints

Niv Buchbinder, Joseph, Naor +2

Consider the following online version of the submodular maximization problem under a matroid constraint: We are given a set of elements over which a matroid is defined. The goal is…

cs.DS2012★ 6 cited

Geometry of Online Packing Linear Programs

Marco Molinaro, R. Ravi

We consider packing LP's with rows where all constraint coefficients are normalized to be in the unit interval. The n columns arrive in random order and the goal is to set the…

cs.DS2012★ 3 cited

Iterative rounding approximation algorithms for degree-bounded node-connectivity network design

Takuro Fukunaga, Zeev Nutov, R. Ravi

We consider the problem of finding a minimum edge cost subgraph of a graph satisfying both given node-connectivity requirements and degree upper bounds on nodes. We present an iter…

cs.DS2011★ 5 cited

The Query-commit Problem

Marco Molinaro, R. Ravi

In the query-commit problem we are given a graph where edges have distinct probabilities of existing. It is possible to query the edges of the graph, and if the queried edge exists…

cs.DS2011

Minimum Makespan Multi-vehicle Dial-a-Ride

Inge Li Goertz, Viswanath Nagarajan, R. Ravi

Dial a ride problems consist of a metric space (denoting travel time between vertices) and a set of m objects represented as source-destination pairs, where each object requires to…

cs.DS2011★ 16 cited

Approximation Algorithms for Correlated Knapsacks and Non-Martingale Bandits

Anupam Gupta, Ravishankar Krishnaswamy, Marco Molinaro +1

In the stochastic knapsack problem, we are given a knapsack of size B, and a set of jobs whose sizes and rewards are drawn from a known probability distribution. However, we know t…