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We study the growth of networks from a set of isolated ground nodes by the addition of one new node per time step and also of a fixed number of directed edges leading from the new node to randomly selected nodes already in the network. A…

Statistical Mechanics · Physics 2011-11-10 Valmir C. Barbosa

Exit paths in buildings are designed to minimise evacuation time when the building is at full capacity. We present an evacuation support system which does this regardless of the number of evacuees. The core concept is to even-out congestion…

Systems and Control · Computer Science 2013-12-03 Antoine Desmet , Erol Gelenbe

The non-uniform demand network coding problem is posed as a single-source and multiple-sink network transmission problem where the sinks may have heterogeneous demands. In contrast with multicast problems, non-uniform demand problems are…

Information Theory · Computer Science 2010-01-27 Joseph C. Koo , John Gill

In 2010s Fleiner introduced a notion of stable flows in directed networks and showed that such a flow always exists and can be found by use of a reduction to the stable allocation problem due to Baiou and Balinski. Recently Cseh and…

Combinatorics · Mathematics 2023-05-17 Alexander Karzanov

An orientation of a grid is called unique sink orientation (USO) if each of its nonempty subgrids has a unique sink. Particularly, the original grid itself has a unique global sink. In this work we investigate the problem of how to find the…

Data Structures and Algorithms · Computer Science 2017-09-26 Xiaoming Sun , Jialin Zhang , Zhijie Zhang

This article focuses on a biobjective extension of the maximum flow network interdiction problem, where each arc in the network is associated with two capacity values. Two maximum flows from a source to a sink are to be computed…

Combinatorics · Mathematics 2020-10-09 Luca E. Schäfer , Stefan Ruzika , Sven O. Krumke , Carlos M. Fonseca

Emergency evacuation is the process of movement of people away from the threat or actual occurrence of hazards such as natural disasters, terrorist attacks, fires and bombs. In this paper, we focus on evacuation from a building, but the…

Data Structures and Algorithms · Computer Science 2016-05-05 Gopinath Mishra , Subhra Mazumdar , Arindam Pal

In the Flow Edge-Monitor Problem, we are given an undirected graph G=(V,E), an integer k > 0 and some unknown circulation \psi on G. We want to find a set of k edges in G, so that if we place k monitors on those edges to measure the flow…

Data Structures and Algorithms · Computer Science 2009-09-01 Francis Chin , Marek Chrobak , Li Yan

We give an O(n log^3 n) algorithm that, given an n-node directed planar graph with arc capacities, a set of source nodes, and a set of sink nodes, finds a maximum flow from the sources to the sinks. Previously, the fastest algorithms known…

Discrete Mathematics · Computer Science 2011-05-12 Glencora Borradaile , Philip N. Klein , Shay Mozes , Yahav Nussbaum , Christian Wulff-Nilsen

In a temporal graph, each edge is available at specific points in time. Such an availability point is often represented by a ''temporal edge'' that can be traversed from its tail only at a specific departure time, for arriving in its head…

Data Structures and Algorithms · Computer Science 2023-01-31 Filippo Brunelli , Laurent Viennot

The paper presents a dynamic solution method for dynamic minimum parametric networks flow. The solution method solves the problem for a special parametric dynamic network with linear lower bound functions of a single parameter. Instead…

Discrete Mathematics · Computer Science 2015-09-15 Mircea Parpalea , Nicoleta Avesalon , Eleonor Ciurea

Engineering networks fall into the category of large-scale networks with heterogeneous nodes such as sources and sinks. The survivability analysis of such networks requires the analysis of the connectivity of the network components for…

Optimization and Control · Mathematics 2012-09-18 S. V. Poroseva , P. A. Rikvold

Logistics and transportation networks require a large amount of resources to realize necessary connections between locations and minimizing these resources is a vital aspect of planning research. Since such networks have dynamic connections…

Social and Information Networks · Computer Science 2024-09-02 Argyrios Deligkas , Michelle Döring , Eduard Eiben , Tiger-Lily Goldsmith , George Skretas , Georg Tennigkeit

We study the minimum-concave-cost flow problem on a two-dimensional grid. We characterize the computational complexity of this problem based on the number of rows and columns of the grid, the number of different capacities over all arcs,…

Data Structures and Algorithms · Computer Science 2016-03-01 Shabbir Ahmed , Qie He , Shi Li , George Nemhauser

In this article, we propose an approach to leak localisation in a complex water delivery grid with the use of data from physical simulation (e.g. EPANET software). This task is usually achieved by a network of multiple water pressure…

Accurate topology information is critical for effective operation of power distribution networks. Line outages change the operational topology of a distribution network. Hence, outage detection is an important task. Power distribution…

Systems and Control · Computer Science 2019-02-19 Ananth Narayan Samudrala , M. Hadi Amini , Soummya Kar , Rick S. Blum

The maximum capacity path problem is to find a path from a source to a sink which has the maximum capacity among all paths. This paper addresses an extension of this problem which considers loss factors. It is called the generalized maximum…

Discrete Mathematics · Computer Science 2023-12-12 Adrian Marius Deaconu , Javad Tayyebi , Mihai-Lucian Rîtan

A sensor is a small electronic device which has the ability to sense, compute and communicate either with other sensors or directly with a base station (sink). In a wireless sensor network (WSN), the sensors monitor a region and transmit…

Networking and Internet Architecture · Computer Science 2018-03-01 Banu Kabakulak

We give an $O(n^{1.5} \log n)$ algorithm that, given a directed planar graph with arc capacities, a set of source nodes and a single sink node, finds a maximum flow from the sources to the sink . This is the first subquadratic-time strongly…

Data Structures and Algorithms · Computer Science 2010-09-15 Philip N. Klein , Shay Mozes

This article considers the stochastic on-time arrival problem in transit networks where both the travel time and the waiting time for transit services are stochastic. A specific challenge of this problem is the combinatorial solution space…

Data Structures and Algorithms · Computer Science 2018-12-04 Yang Liu , Sebastien Blandin , Samitha Samaranayake