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In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

We focus on designing combinatorial algorithms for the Capacitated Network Design problem (Cap-SNDP). The Cap-SNDP is the problem of satisfying connectivity requirements when edges have costs and hard capacities. We begin by showing that…

Data Structures and Algorithms · Computer Science 2015-03-19 MohammadTaghi Hajiaghayi , Rohit Khandekar , Guy Kortsarz , Zeev Nutov

The stack in various forms has been widely used as an architectural template for networking systems. Recently the stack has been subject to criticism for a lack of flexibility. However, when it comes right down to it nobody has offered a…

Networking and Internet Architecture · Computer Science 2009-02-25 Michael Neufeld , Craig Partridge

Traditional wireless network design relies on optimization algorithms derived from domain-specific mathematical models, which are often inefficient and unsuitable for dynamic, real-time applications due to high complexity. Deep learning has…

Machine Learning · Computer Science 2024-12-13 Sinem Coleri , Aysun Gurur Onalan , Marco di Renzo

We study the problem of connecting the parts of a multipartite graph using a minimum number of edges under a matching constraint. We introduce interconnection trees, defined as matchings whose projections onto the quotient graph form a…

Computational Complexity · Computer Science 2026-05-19 Noé Demange , Yann Strozecki

In this articlewestudy themulticast routing problem in all-opticalWDMnetworks under the spare light splitting constraint. To implement a multicast session, several light-trees may have to be used due to the limited fanouts of network nodes.…

Networking and Internet Architecture · Computer Science 2010-12-02 Fen Zhou , Miklos Molnar , Bernard Cousin

This paper concerns sub-channel allocation in multi-user wireless networks with a view to increasing the network throughput. It is assumed there are some sub-channels to be equally divided among active links, such that the total sum rate…

Information Theory · Computer Science 2016-01-21 Mohammadreza Darabi , Amin Roustaei

Analyzing and controlling spreading processes are challenging problems due to the involved non-linear node (subsystem) dynamics, unknown disturbances, complex interconnections, and the large-scale and multi-level nature of the problems. The…

Systems and Control · Electrical Eng. & Systems 2025-10-13 Shirantha Welikala , Hai Lin , Panos J. Antsaklis

In this paper, we study the form over the minimum spanning tree problem (MST) from which we will derive an intuitively generalized model and new methods with the upper bound of runtimes of logarithm. The new pattern we made has taken…

Discrete Mathematics · Computer Science 2017-06-26 Yong Tan

We study the query complexity of the metric Steiner Tree problem, where we are given an $n \times n$ metric on a set $V$ of vertices along with a set $T \subseteq V$ of $k$ terminals, and the goal is to find a tree of minimum cost that…

Data Structures and Algorithms · Computer Science 2024-11-11 Yu Chen , Sanjeev Khanna , Zihan Tan

This paper investigates the problem of regression model generation. A model is a superposition of primitive functions. The model structure is described by a weighted colored graph. Each graph vertex corresponds to some primitive function.…

Machine Learning · Statistics 2024-06-28 Radoslav G. Neychev , Innokentiy A. Shibaev , Vadim V. Strijov

The transmission switching problem aims to determine the optimal network topology that minimizes the operating costs of a power system. This problem is typically formulated as a mixed-integer optimization model, which involves big-M…

Optimization and Control · Mathematics 2025-02-17 Marina Aguilar-Moreno , Salvador Pineda , Juan Miguel Morales

The optimal design of wireless networks has been widely studied in the literature and many optimization models have been proposed over the years. However, most models directly include the signal-to-interference ratios representing service…

Optimization and Control · Mathematics 2017-05-01 Fabio D'Andreagiovanni , Ambros Gleixner

We study network design with a cost structure motivated by redundancy in data traffic. We are given a graph, g groups of terminals, and a universe of data packets. Each group of terminals desires a subset of the packets from its respective…

Data Structures and Algorithms · Computer Science 2013-07-31 Siddharth Barman , Shuchi Chawla , Seeun Umboh

We introduce a novel quadratic unconstrained binary optimization (QUBO) formulation for a classical problem in electrical engineering -- the optimal reconfiguration of distribution grids. For a given graph representing the grid…

Quantum Physics · Physics 2023-01-31 Filipe F. C. Silva , Pedro M. S. Carvalho , Luis A. F. M. Ferreira , Yasser Omar

The Minimum Spanning Tree with Conflicting Edge Pairs is a generalization that adds conflict constraints to a classical optimization problem on graphs used to model several real-world applications. In the last few years several approaches,…

Optimization and Control · Mathematics 2025-04-22 Roberto Montemanni , Derek H. Smith

Network architecture design is very important for the optimization of industrial networks. The type of network architecture can be divided into small-scale network and large-scale network according to its scale. Graph theory is an efficient…

Social and Information Networks · Computer Science 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

We investigate the problem of network utility maximization in multiple gateways wireless mesh networks by considering Signal to Interference plus Noise Ratio (SINR) as the interference model. The aim is a cross layer design that considers…

Networking and Internet Architecture · Computer Science 2020-01-23 Samaneh Aghashahi , Ghasem Mirjalily , Aliakber Tadaion

In this paper, we present an exact algorithm for the Steiner tree problem. The algorithm is based on certain pre-computed index structures. Our algorithm offers a practical solution for the Steiner tree problems on graphs of large size and…

Data Structures and Algorithms · Computer Science 2013-05-27 Fang Wei-Kleiner

For many algorithmic problems, traditional algorithms that optimise on the number of instructions executed prove expensive on I/Os. Novel and very different design techniques, when applied to these problems, can produce algorithms that are…

Data Structures and Algorithms · Computer Science 2010-05-20 Alka
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