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We initiate the study of the Maximal Matching problem in bounded-deletion graph streams. In this setting, a graph $G$ is revealed as an arbitrary sequence of edge insertions and deletions, where the number of insertions is unrestricted but…

Data Structures and Algorithms · Computer Science 2025-02-24 Sanjeev Khanna , Christian Konrad , Jacques Dark

Time or money? That is a question! In this paper, we consider this dilemma in the pricing regime, in which we try to find the optimal pricing scheme for identical items with heterogenous time-sensitive buyers. We characterize the…

Computer Science and Game Theory · Computer Science 2024-02-23 Zhengyang Liu , Liang Shan , Zihe Wang

A company provides a service at different time slots, each slot being endowed with a capacity. A non-atomic population of users is willing to purchase this service. The population is modeled as a continuous measure over the preferred times.…

Optimization and Control · Mathematics 2026-03-19 Olivier Bilenne , Frédéric Meunier

We revisit the problem of designing optimal, individually rational matching mechanisms (in a general sense, allowing for cycles in directed graphs), where each player --- who is associated with a subset of vertices --- matches as many of…

Data Structures and Algorithms · Computer Science 2016-09-15 Avrim Blum , Ioannis Caragiannis , Nika Haghtalab , Ariel D. Procaccia , Eviatar B. Procaccia , Rohit Vaish

In a graph $G = (V,E)$, a vertex subset $S\subseteq V(G)$ is said to be a dominating set of $G$ if every vertex not in $S$ is adjacent to a vertex in $S$. A dominating set $S$ of $G$ is called a paired-dominating set of $G$ if the induced…

Data Structures and Algorithms · Computer Science 2016-05-03 Ching-Chi Lin , Cheng-Yu Hsieh

This paper investigates concurrency-constrained scheduling problems, where the objective is to construct a schedule for a set of jobs subject to concurrency restrictions. Formally, we are given a conflict graph $G$ defined over a set of $n$…

Discrete Mathematics · Computer Science 2025-06-30 Hans L. Bodlaender , Danny Hermelin , Erik Jan van Leeuwen

In the classical facility location problem we consider a graph $G$ with fixed weights on the edges of $G$. The goal is then to find an optimal positioning for a set of facilities on the graph with respect to some objective function. We…

Data Structures and Algorithms · Computer Science 2014-06-10 Boaz Ben-Moshe , Michael Elkin , Lee-Ad Gottlieb , Eran Omri

The broadcast scheduling problem asks how a multihop network of broadcast transceivers operating on a shared medium may share the medium in such a way that communication over the entire network is possible. This can be naturally modeled as…

Data Structures and Algorithms · Computer Science 2012-10-12 Shaun N. Joseph , Lisa C. DiPippo

There is substantial literature dealing with fixed parameter algorithms for the dominating set problem on various families of graphs. In this paper, we give a $k^{O(dk)} n$ time algorithm for finding a dominating set of size at most $k$ in…

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

Diffusion is a fundamental graph process, underpinning such phenomena as epidemic disease contagion and the spread of innovation by word-of-mouth. We address the algorithmic problem of finding a set of k initial seed nodes in a network so…

Data Structures and Algorithms · Computer Science 2016-06-23 Christian Borgs , Michael Brautbar , Jennifer Chayes , Brendan Lucier

This paper discusses the problem of covering and hitting a set of line segments $\cal L$ in ${\mathbb R}^2$ by a pair of axis-parallel squares such that the side length of the larger of the two squares is minimized. We also discuss the…

Computational Geometry · Computer Science 2017-09-15 Sanjib Sadhu , Sasanka Roy , Subhas C. Nandy , Suchismita Roy

In recent years, the problem of computing the frequencies of the induced $k$-vertex subgraphs of a graph, or \emph{$k$-graphlets}, has become central. One approach for this problem is to sample $k$-graphlets randomly. Classic algorithms for…

Data Structures and Algorithms · Computer Science 2026-04-29 Marco Bressan , T-H. Hubert Chan , Qipeng Kuang , Mauro Sozio

Given an edge-weighted undirected graph and a list of k source-sink pairs of vertices, the well-known minimum multicut problem consists in selecting a minimum-weight set of edges whose removal leaves no path between every source and its…

Discrete Mathematics · Computer Science 2012-06-19 Cédric Bentz

Paper cutting is a simple process of slicing large rolls of paper, jumbo-reels, into various sub-rolls with variable widths based on demands risen by customers. Since the variability is high due to collected various orders into a pool, the…

Other Computer Science · Computer Science 2013-04-09 Mehmet E. Aydin , Osman Taylan

With the introduction of the graph-theoretic time-inconsistent planning model due to Kleinberg and Oren, it has been possible to investigate the computational complexity of how a task designer best can support a present-biased agent in…

Computational Complexity · Computer Science 2019-11-19 Fedor V. Fomin , Torstein J. F. Strømme

Billboard Advertising has emerged as an effective out-of-home advertising technique, where the goal is to select a limited number of slots and play advertisement content there, with the hope that it will be observed by many people and,…

Databases · Computer Science 2026-01-22 Dildar Ali , Suman Banerjee , Rajibul Islam

$k$-defensive domination, a variant of the classical domination problem on graphs, seeks a minimum cardinality vertex set providing a surjective defense against any attack on vertices of cardinality bounded by a parameter $k$. The problem…

Discrete Mathematics · Computer Science 2020-10-09 Tınaz Ekim , Arthur Farley , Andrzej Proskurowski , Mordechai Shalom

It is well known that opportunistic scheduling algorithms are throughput optimal under dynamic channel and network conditions. However, these algorithms achieve a hypothetical rate region which does not take into account the overhead…

Networking and Internet Architecture · Computer Science 2019-11-12 Mehmet Karaca , Tansu Alpcan , Ozgur Ercetin

In this paper, we consider the energy-bandwidth allocation for a network with multiple broadcast channels, where the transmitters access the network orthogonally on the assigned frequency band and each transmitter communicates with multiple…

Information Theory · Computer Science 2014-10-13 Zhe Wang , Vaneet Aggarwal , Xiaodong Wang

The \emph{maximal $k$-edge-connected subgraphs} problem is a classical graph clustering problem studied since the 70's. Surprisingly, no non-trivial technique for this problem in weighted graphs is known: a very straightforward…

Data Structures and Algorithms · Computer Science 2023-02-07 Chaitanya Nalam , Thatchaphol Saranurak