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Bottleneck Steiner networks model energy consumption in wireless ad-hoc networks. The task is to design a network spanning a given set of terminals and at most $k$ Steiner points such that the length of the longest edge is minimised. The…

Combinatorics · Mathematics 2019-07-09 M Brazil , C Ras , D Thomas , G Xu

In this paper, we consider the network utility maximization problem with various user priorities via jointly optimizing user association, load distribution and power control in a load-coupled heterogeneous network. In order to tackle the…

Information Theory · Computer Science 2017-10-19 Zhaohui Yang , Wei Xu , Jianfeng Shi , Hao Xu , Ming Chen

Probabilistic analysis for metric optimization problems has mostly been conducted on random Euclidean instances, but little is known about metric instances drawn from distributions other than the Euclidean. This motivates our study of…

Data Structures and Algorithms · Computer Science 2014-05-26 Karl Bringmann , Christian Engels , Bodo Manthey , B. V. Raghavendra Rao

The notion of treewidth, introduced by Robertson and Seymour in their seminal Graph Minors series, turned out to have tremendous impact on graph algorithmics. Many hard computational problems on graphs turn out to be efficiently solvable in…

Data Structures and Algorithms · Computer Science 2019-09-24 Michał Ziobro , Marcin Pilipczuk

We derive a new lower bound for the bandwidth of a graph that is based on a new lower bound for the minimum cut problem. Our new semidefinite programming relaxation of the minimum cut problem is obtained by strengthening the known…

Optimization and Control · Mathematics 2015-01-05 Edwin R. van Dam , Renata Sotirov

We propose an optimization approach to design cost-effective electrical power transmission networks. That is, we aim to select both the network structure and the line conductances (line sizes) so as to optimize the trade-off between network…

Optimization and Control · Mathematics 2016-11-15 Jason K. Johnson , Michael Chertkov

We introduce and study the general problem of finding a most "scale-free-like" spanning tree of a connected graph. It is motivated by a particular problem in epidemiology, and may be useful in studies of various dynamical processes in…

Combinatorics · Mathematics 2023-07-12 Yury Orlovich , Kirill Kukharenko , Volker Kaibel , Pavel Skums

Branch-and-bound (BnB) algorithms are widely used to solve combinatorial problems, and the performance crucially depends on its branching heuristic.In this work, we consider a typical problem of maximum common subgraph (MCS), and propose a…

Machine Learning · Computer Science 2019-05-23 Yan-li Liu , Chu-min Li , Hua Jiang , Kun He

The optimal connecting network problem generalizes many models of structure optimization known from the literature, including communication and transport network topology design, graph cut and graph clustering, structure identification from…

Combinatorics · Mathematics 2018-08-22 Mikhail Goubko , Alexander Kuznetsov

We study the parameterized complexity of a generalization of the coordinated motion planning problem on graphs, where the goal is to route a specified subset of a given set of $k$ robots to their destinations with the aim of minimizing the…

Discrete Mathematics · Computer Science 2026-02-02 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Iyad Kanj , M. S. Ramanujan

This paper considers the problem of selecting either routes that consist of long hops or routes that consist of short hops in a network of multiple-antenna nodes, where each transmitting node employs spatial multiplexing. This…

Information Theory · Computer Science 2016-11-18 Caleb K. Lo , Sriram Vishwanath , Robert W. Heath

Graph connectivity is a fundamental combinatorial optimization problem that arises in many practical applications, where usually a spanning subgraph of a network is used for its operation. However, in the real world, links may fail…

Data Structures and Algorithms · Computer Science 2022-09-13 Dimitris Fotakis , Evangelia Gergatsouli , Charilaos Pipis , Miltiadis Stouras , Christos Tzamos

The quadratic minimum spanning tree problem (QMSTP) is the problem of finding a spanning tree of a graph such that the total interaction cost between pairs of edges in the tree is minimized. We first show that most of the bounding…

Optimization and Control · Mathematics 2024-04-09 Renata Sotirov , Zoe Verchére

We give polynomial time logarithmic approximation guarantees for the budget minimization, as well as for the profit maximization versions of minimum spanning tree interdiction. In this problem, the goal is to remove some edges of an…

Data Structures and Algorithms · Computer Science 2025-07-28 Rafail Ostrovsky , Yuval Rabani , Yoav Siman Tov

We apply statistical physics to study the task of resource allocation in random networks with limited bandwidths along the transportation links. The mean-field approach is applicable when the connectivity is sufficiently high. It allows us…

Statistical Mechanics · Physics 2015-05-13 C. H. Yeung , K. Y. Michael Wong

Drawing graphs with the minimum number of crossings is a classical problem that has been studied extensively. Many restricted versions of the problem have been considered. For example, bipartite graphs can be drawn such that the two sets in…

In this paper we consider the issue of energy efficiency in random access networks and show that optimizing transmission probabilities of nodes can enhance network performance in terms of energy consumption and fairness. First, we propose a…

Information Theory · Computer Science 2010-11-24 Amir Mahdi Khodaian , Babak H. Khalaj , Mohammad S. Talebi

Given a network infrastructure (e.g., data-center or on-chip-network) and a distribution on the source-destination requests, the expected path (route) length is an important measure for the performance, efficiency and power consumption of…

Networking and Internet Architecture · Computer Science 2012-07-06 Chen Avin , Michael Borokhovich , Bernhard Haeupler , Zvi Lotker

We investigate the 3-architecture Connected Facility Location Problem arising in the design of urban telecommunication access networks. We propose an original optimization model for the problem that includes additional variables and…

Optimization and Control · Mathematics 2017-05-01 Fabio D'Andreagiovanni , Fabian Mett , Jonad Pulaj

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) so they collectively meet the electric power demanded by a collection of loads, while minimizing the total…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Madi Zholbaryssov , Christoforos N. Hadjicostis , Alejandro D. Dominguez-Garcia