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We give a comprehensive study of bin packing with conflicts (BPC). The input is a set $I$ of items, sizes $s:I \rightarrow [0,1]$, and a conflict graph $G = (I,E)$. The goal is to find a partition of $I$ into a minimum number of independent…

Data Structures and Algorithms · Computer Science 2023-02-22 Ilan Doron-Arad , Hadas Shachnai

We consider random-access networks with nodes representing transmitter-receiver pairs whose signals interfere with each other depending on their vicinity. Data packets arrive at the nodes over time and form queues. The nodes can be either…

Probability · Mathematics 2022-05-04 Matteo Sfragara

We introduce a `concrete complexity' model for studying algorithms for matching in bipartite graphs. The model is based on the "demand query" model used for combinatorial auctions. Most (but not all) known algorithms for bipartite matching…

Computational Complexity · Computer Science 2019-06-12 Noam Nisan

We consider the task of detecting a hidden bipartite subgraph in a given random graph. This is formulated as a hypothesis testing problem, under the null hypothesis, the graph is a realization of an Erd\H{o}s-R\'{e}nyi random graph over $n$…

Data Structures and Algorithms · Computer Science 2024-03-07 Asaf Rotenberg , Wasim Huleihel , Ofer Shayevitz

We study the problem of allocating indivisible items to agents with additive valuations, under the additional constraint that bundles must be connected in an underlying item graph. Previous work has considered the existence and complexity…

Computer Science and Game Theory · Computer Science 2018-11-13 Ayumi Igarashi , Dominik Peters

In this paper, we study the parameterized complexity and inapproximability of the {\sc Induced Matching} problem in hamiltonian bipartite graphs. We show that, given a hamiltonian cycle in a hamiltonian bipartite graph, the problem is…

Computational Complexity · Computer Science 2014-12-08 Yinglei Song

We introduce a simple time-triggered protocol to achieve communication-efficient non-Bayesian learning over a network. Specifically, we consider a scenario where a group of agents interact over a graph with the aim of discerning the true…

Systems and Control · Electrical Eng. & Systems 2019-09-05 Aritra Mitra , John A. Richards , Shreyas Sundaram

This paper considers the optimal multi-agent persistent monitoring problem defined for a team of agents on a set of nodes (targets) interconnected according to a fixed network topology. The aim is to control this team so as to minimize a…

Optimization and Control · Mathematics 2020-12-14 Shirantha Welikala , Christos G. Cassandras

A $k$-defective clique of an undirected graph $G$ is a subset of its vertices that induces a nearly complete graph with a maximum of $k$ missing edges. The maximum $k$-defective clique problem, which asks for the largest $k$-defective…

Data Structures and Algorithms · Computer Science 2024-07-25 Chunyu Luo , Yi Zhou , Zhengren Wang , Mingyu Xiao

Enumerating maximal $k$-biplexes (MBPs) of a bipartite graph has been used for applications such as fraud detection. Nevertheless, there usually exists an exponential number of MBPs, which brings up two issues when enumerating MBPs, namely…

Databases · Computer Science 2022-08-30 Kaiqiang Yu , Cheng Long

The spectral efficiency of a representative uplink of a given length, in interference-limited, spatially-distributed wireless networks with hexagonal cells, simple power control, and multiantenna linear Minimum-Mean-Square-Error receivers…

Information Theory · Computer Science 2015-03-18 Siddhartan Govindasamy , Daniel W. Bliss , David H. Staelin

The problem of learning or reconstructing an unknown graph from a known family via partial-information queries arises as a mathematical model in various contexts. The most basic type of access to the graph is via \emph{edge queries}, where…

Computational Complexity · Computer Science 2025-07-08 Nikhil S. Mande , Swagato Sanyal , Viktor Zamaraev

We consider the problem of minimizing the number of broadcasts for collecting all sensor measurements at a sink node in a noisy broadcast sensor network. Focusing first on arbitrary network topologies, we provide (i) fundamental limits on…

Information Theory · Computer Science 2017-02-01 Yaoqing Yang , Soummya Kar , Pulkit Grover

Interference minimization problem in wireless sensor and ad-hoc networks is considered. That is to assign a transmission power to each node of a network such that the network is connected and at the same time the maximum of accumulated…

Data Structures and Algorithms · Computer Science 2011-07-22 Hakob Aslanyan

We study weighted edge coloring of graphs, where we are given an undirected edge-weighted general multi-graph $G := (V, E)$ with weights $w : E \rightarrow [0, 1]$. The goal is to find a proper weighted coloring of the edges with as few…

Data Structures and Algorithms · Computer Science 2021-01-01 Debarsho Sannyasi

We consider the following online optimization problem. We are given a graph $G$ and each vertex of the graph is assigned to one of $\ell$ servers, where servers have capacity $k$ and we assume that the graph has $\ell \cdot k$ vertices.…

Data Structures and Algorithms · Computer Science 2020-11-03 Monika Henzinger , Stefan Neumann , Harald Räcke , Stefan Schmid

We present a $(1+\frac{k}{k+2})$-approximation algorithm for the Maximum $k$-dependent Set problem on bipartite graphs for any $k\ge1$. For a graph with $n$ vertices and $m$ edges, the algorithm runs in $O(k m \sqrt{n})$ time and improves…

Combinatorics · Mathematics 2021-10-07 Seyedmohammadhossein Hosseinian , Sergiy Butenko

An overarching issue in resource management of wireless networks is assessing their capacity: How much communication can be achieved in a network, utilizing all the tools available: power control, scheduling, routing, channel assignment and…

Networking and Internet Architecture · Computer Science 2017-05-30 Magnus M. Halldorsson , Tigran Tonoyan

Graph Neural Networks (GNNs) have recently emerged as a promising approach to tackling power allocation problems in wireless networks. Since unpaired transmitters and receivers are often spatially distant, the distance-based threshold is…

Information Theory · Computer Science 2024-06-04 Lili Chen , Jingge Zhu , Jamie Evans

A network of $n$ wireless communication links is considered in a Rayleigh fading environment. It is assumed that each link can be active and transmit with a constant power $P$ or remain silent. The objective is to maximize the number of…

Information Theory · Computer Science 2007-10-30 Masoud Ebrahimi , Amir K. Khandani
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