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In this paper we introduce a new network reachability problem where the goal is to find the most reliable path between two nodes in a network, represented as a directed acyclic graph. Individual edges within this network may fail according…

Data Structures and Algorithms · Computer Science 2012-06-26 Allen Chang , Eyal Amir

Street network analysis holds appeal as a tool for the assessment of pedestrian connectivity and its relation to the intensity and mix of land-uses; however, application within urban-design triggers a range of questions on implementary…

Physics and Society · Physics 2021-07-02 Gareth D. Simons

To date, self-driving experimental wheelchair technologies have been either inexpensive or robust, but not both. Yet, in order to achieve real-world acceptance, both qualities are fundamentally essential. We present a unique approach to…

Robotics · Computer Science 2018-07-17 Maya Burhanpurkar , Mathieu Labbé , Xinyi Gong , Charlie Guan , François Michaud , Jonathan Kelly

We consider the classic problem of Network Reliability. A network is given together with a source vertex, one or more target vertices, and probabilities assigned to each of the edges. Each edge appears in the network with its associated…

Combinatorics · Mathematics 2019-03-20 Amir Kafshdar Goharshady , Fatemeh Mohammadi

Finding the shortest route in wireless mesh networks is an important aspect. Many techniques are used to solve this problem like dynamic programming, evolutionary algorithms, weighted-sum techniques, and others. In this paper, we use…

Networking and Internet Architecture · Computer Science 2018-05-22 Sabreen Mahmood Shukr , Nuha Abdul Sahib Alwan , Ibraheem Kassim Ibraheem

Graphs are mathematical tools that can be used to represent complex real-world interconnected systems, such as financial markets and social networks. Hence, machine learning (ML) over graphs has attracted significant attention recently.…

Machine Learning · Computer Science 2023-10-24 O. Deniz Kose , Yanning Shen , Gonzalo Mateos

Promoting active mobility like cycling relies on the availability of well-connected, high-quality bicycle networks. However, expanding these networks over an extended planning horizon presents one of the most complex challenges in transport…

Physics and Society · Physics 2025-05-06 Christoph Steinacker , Mads Paulsen , Malte Schröder , Jeppe Rich

We describe a new method for the random sampling of connected networks with a specified degree sequence. We consider both the case of simple graphs and that of loopless multigraphs. The constraints of fixed degrees and of connectedness are…

Physics and Society · Physics 2020-12-03 Szabolcs Horvát , Carl D. Modes

Assessing the resilience of a road network is instrumental to improve existing infrastructures and design new ones. Here we apply the optimal path crack model (OPC) to investigate the mobility of road networks and propose a new proxy for…

Physics and Society · Physics 2020-11-04 H. A. Carmona , A. W. T. de Noronha , A. A. Moreira , N. A. M. Araujo , J. S. Andrade

Graph embedding, representing local and global neighborhood information by numerical vectors, is a crucial part of the mathematical modeling of a wide range of real-world systems. Among the embedding algorithms, random walk-based algorithms…

Social and Information Networks · Computer Science 2022-07-06 Sarmad N. Mohammed , Semra Gündüç

To expand the toolbox available to network science, we study the isomorphism between distance and Fuzzy (proximity or strength) graphs. Distinct transitive closures in Fuzzy graphs lead to closures of their isomorphic distance graphs with…

Social and Information Networks · Computer Science 2014-10-17 Tiago Simas , Luis M Rocha

The maintenance of system flow is critical for effective network operation. Any type of disruption to network facilities (arcs/nodes) potentially risks loss of service, leaving users without access to important resources. It is therefore an…

Data Analysis, Statistics and Probability · Physics 2010-06-29 Timothy C. Matisziw , Alan T. Murray

An accessibility graph of a network contains a link, wherever there is a path of arbitrary length between two nodes. We generalize the concept of accessibility to temporal networks. Building an accessibility graph by consecutively adding…

Physics and Society · Physics 2012-10-09 Hartmut H K Lentz , Thomas Selhorst , Igor M Sokolov

Research in social accessibility aims to improve the lives of disabled people across diverse abilities and experiences by assisting with communication, relationships, and ecosystems of access. We seek to understand this intersectional body…

Human-Computer Interaction · Computer Science 2026-03-10 JiWoong Jang , Patrick Carrington , Andrew Begel

Forecasting the trajectory of pedestrians in shared urban traffic environments is still considered one of the challenging problems facing the development of autonomous vehicles (AVs). In the literature, this problem is often tackled using…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Khaled Saleh

Distances in a network capture relations between nodes and are the basis of centrality, similarity, and influence measures. Often, however, the relevance of a node $u$ to a node $v$ is more precisely measured not by the magnitude of the…

Social and Information Networks · Computer Science 2016-02-25 Eliav Buchnik , Edith Cohen

In this paper we propose an annealing based framework to incorporate inequality constraints in optimization problems such as facility location, simultaneous facility location with path optimization, and the last mile delivery problem. These…

Optimization and Control · Mathematics 2020-02-11 Amber Srivastava , Gabriel Barsi Haberfeld , Naira Hovakimyan , Srinivasa M Salapaka

While advances in mobility technology including autonomous vehicles and multi-modal navigation systems can improve mobility equity for people with disabilities, these technologies depend crucially on accurate, standardized, and complete…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Yuxiang Zhang , Bill Howe , Anat Caspi

The $\mathsf{HYBRID}$ model, introduced in [Augustine et al., SODA '20], provides a theoretical foundation for networks that allow multiple communication modes. The model follows the principles of synchronous message passing, whereas nodes…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-05 Fabian Kuhn , Philipp Schneider

The traditional complex network approach considers only the shortest paths from one node to another, not taking into account several other possible paths. This limitation is significant, for example, in urban mobility studies. In this short…

Discrete Mathematics · Computer Science 2022-10-10 Leonardo B. L. Santos , Luiz Max Carvalho , Giovanni G. Soares , Leonardo N. Ferreira , Igor M. Sokolov
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