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In this paper we study the mincut problem in the online setting. We consider two distinct models: A) competitive analysis and B) regret analysis. In the competitive setting we consider the vertex arrival model; whenever a new vertex arrives…

Data Structures and Algorithms · Computer Science 2020-08-17 Avah Banerjee , Guoli Ding

Traditionally, the problem of apportioning the seats of a legislative body has been viewed as a one-shot process with no dynamic considerations. While this approach is reasonable for some settings, dynamic aspects play an important role in…

Computer Science and Game Theory · Computer Science 2025-10-17 Javier Cembrano , Jose Correa , Svenja M. Griesbach , Victor Verdugo

Babaioff et al. [BIK2007] introduced the matroid secretary problem in 2007, a natural extension of the classic single-choice secretary problem to matroids, and conjectured that a constant-competitive online algorithm exists. The conjecture…

Data Structures and Algorithms · Computer Science 2021-11-09 Maryam Bahrani , Hedyeh Beyhaghi , Sahil Singla , S. Matthew Weinberg

Online contention resolution scheme (OCRS) is a powerful technique for online decision making, which--in the case of matroids--given a matroid and a prior distribution of active elements, selects a subset of active elements that satisfies…

Data Structures and Algorithms · Computer Science 2025-04-24 Junyao Zhao

In the online metric bipartite matching problem, we are given a set $S$ of server locations in a metric space. Requests arrive one at a time, and on its arrival, we need to immediately and irrevocably match it to a server at a cost which is…

Computational Geometry · Computer Science 2018-03-21 Sharath Raghvendra

An online truthful budgeted matching problem is considered for a bipartite graph, where the right vertices are available ahead of time, and individual left vertices arrive sequentially. On arrival of a left vertex, its edge utilities (or…

Data Structures and Algorithms · Computer Science 2016-06-03 Rahul Vaze , Marceau Coupechoux

In the online disjoint set covers problem, the edges of a hypergraph are revealed online, and the goal is to partition them into a maximum number of disjoint set covers. That is, n nodes of a hypergraph are given at the beginning, and then…

Data Structures and Algorithms · Computer Science 2025-01-14 Marcin Bienkowski , Jarosław Byrka , Łukasz Jeż

In many problems, the inputs arrive over time, and must be dealt with irrevocably when they arrive. Such problems are online problems. A common method of solving online problems is to first solve the corresponding linear program, and then…

Data Structures and Algorithms · Computer Science 2012-04-04 Umang Bhaskar , Lisa Fleischer

Online Contention Resolution Schemes (OCRS's) represent a modern tool for selecting a subset of elements, subject to resource constraints, when the elements are presented to the algorithm sequentially. OCRS's have led to some of the…

Data Structures and Algorithms · Computer Science 2024-04-03 Calum MacRury , Will Ma , Nathaniel Grammel

We study the admission control problem in general networks. Communication requests arrive over time, and the online algorithm accepts or rejects each request while maintaining the capacity limitations of the network. The admission control…

Data Structures and Algorithms · Computer Science 2008-12-18 Noga Alon , Yossi Azar , Shai Gutner

We consider the online Minimum-Cost Perfect Matching with Delays (MPMD) problem introduced by Emek et al. (STOC 2016), in which a general metric space is given, and requests are submitted in different times in this space by an adversary.…

Data Structures and Algorithms · Computer Science 2018-08-08 Yossi Azar , Amit Jacob-Fanani

The $b$-matching problem is an allocation problem where the vertices on the left-hand side of a bipartite graph, referred to as servers, may be matched multiple times. In the setting with stochastic rewards, an assignment between an…

Data Structures and Algorithms · Computer Science 2024-11-27 Susanne Albers , Sebastian Schubert

When designing a preemptive online algorithm for the maximum matching problem, we wish to maintain a valid matching M while edges of the underlying graph are presented one after the other. When presented with an edge e, the algorithm should…

Data Structures and Algorithms · Computer Science 2015-03-20 Leah Epstein , Asaf Levin , Danny Segev , Oren Weimann

In this paper, we study two variants of the online metric matching problem. The first problem is the online metric matching problem where all the servers are placed at one of two positions in the metric space. We show that a simple greedy…

Data Structures and Algorithms · Computer Science 2020-10-01 Toshiya Itoh , Shuichi Miyazaki , Makoto Satake

Online algorithms process their inputs piece by piece, taking irrevocable decisions for each data item. This model is too restrictive for most partitioning problems, since data that is yet to arrive may render it impossible to extend…

Data Structures and Algorithms · Computer Science 2017-02-21 Christian Konrad , Tigran Tonoyan

We consider the problem of scheduling packets of different lengths via a directed communication link prone to jamming errors. Dynamic packet arrivals and errors are modelled by an adversary. We focus on estimating relative throughput of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-21 Tomasz Jurdzinski , Dariusz R. Kowalski , Krzysztof Lorys

We revisit the well-known online traveling salesman problem (OLTSP) and its extension, the online dial-a-ride problem (OLDARP). A server starting at a designated origin in a metric space, is required to serve online requests, and return to…

Data Structures and Algorithms · Computer Science 2025-07-18 Ya-Chun Liang , Meng-Hsi Li , Chung-Shou Liao , Clifford Stein

We consider the minimum spanning tree problem with predictions, using the weight-arrival model, i.e., the graph is given, together with predictions for the weights of all edges. Then the actual weights arrive one at a time and an…

Data Structures and Algorithms · Computer Science 2023-02-24 Magnus Berg , Joan Boyar , Lene M. Favrholdt , Kim S. Larsen

In the semi-streaming model, an algorithm receives a stream of edges of a graph in arbitrary order and uses a memory of size $O(n \mbox{ polylog } n)$, where $n$ is the number of vertices of a graph. In this work, we present semi-streaming…

Data Structures and Algorithms · Computer Science 2014-04-11 Christian Konrad , Frédéric Magniez , Claire Mathieu

We study the online minimum cost bipartite perfect matching with delays problem. In this problem, $m$ servers and $m$ requests arrive over time, and an online algorithm can delay the matching between servers and requests by paying the delay…

Data Structures and Algorithms · Computer Science 2024-08-06 Tung-Wei Kuo