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A solution of the $k$ shortest paths problem may output paths that are identical up to a single edge. On the other hand, a solution of the $k$ independent shortest paths problem consists of paths that share neither an edge nor an…

数据结构与算法 · 计算机科学 2022-11-08 Yefim Dinitz , Shlomi Dolev , Manish Kumar , Baruch Schieber

Every day the number of traffic cameras in cities rapidly increase and huge amount of video data are generated. Parallel processing infrastruture, such as Hadoop, and programming models, such as MapReduce, are being used to promptly process…

计算机视觉与模式识别 · 计算机科学 2019-12-23 Walter M. Mayor Toro , Juan C. Perafan Villota , Oscar H. Mondragon , Johan S. Obando Ceron

Computing paths in graph structures is a fundamental operation in a wide range of applications, from transportation networks to data analysis. The beer path problem, which captures the option of visiting points of interest, such as gas…

Proximity graph-based methods have emerged as a leading paradigm for approximate nearest neighbor (ANN) search in the system community. This paper presents fresh insights into the theoretical foundation of these methods. We describe an…

数据结构与算法 · 计算机科学 2025-09-10 Shangqi Lu , Yufei Tao

Vertex similarity is a major problem in network science with a wide range of applications. In this work we provide novel perspectives on finding (dis)similar vertices within a network and across two networks with the same number of vertices…

社会与信息网络 · 计算机科学 2013-05-28 Charalampos E. Tsourakakis

The ability to model and predict ego-vehicle's surrounding traffic is crucial for autonomous pilots and intelligent driver-assistance systems. Acceleration prediction is important as one of the major components of traffic prediction. This…

机器学习 · 计算机科学 2020-05-11 Jianyu Su , Peter A. Beling , Rui Guo , Kyungtae Han

The Steiner Multicycle problem consists of, given a complete graph, a weight function on its vertices, and a collection of pairwise disjoint non-unitary sets called terminal sets, finding a minimum weight collection of vertex-disjoint…

数据结构与算法 · 计算机科学 2023-08-16 Cristina G. Fernandes , Carla N. Lintzmayer , Phablo F. S. Moura

We introduce an optimal transport based approach for comparing undirected graphs with non-negative edge weights and general vertex labels, and we study connections between the resulting linear program and the graph isomorphism problem. Our…

组合数学 · 数学 2025-11-20 Phuong N. Hoàng , Kevin McGoff , Andrew B. Nobel , Yang Xiang , Bongsoo Yi

We present algorithms and experiments for the visualization of directed graphs that focus on displaying their reachability information. Our algorithms are based on the concepts of the path and channel decomposition as proposed in the…

数据结构与算法 · 计算机科学 2019-07-29 Panagiotis Lionakis , Giacomo Ortali , Ioannis G. Tollis

In the Disjoint Shortest Paths problem one is given a graph $G$ and a set $\mathcal{T}=\{(s_1,t_1),\dots,(s_k,t_k)\}$ of $k$ vertex pairs. The question is whether there exist vertex-disjoint paths $P_1,\dots,P_k$ in $G$ so that each $P_i$…

数据结构与算法 · 计算机科学 2025-05-07 Michał Pilipczuk , Giannos Stamoulis , Michał Włodarczyk

The shortest path problem is among the most fundamental combinatorial optimization problems to answer reachability queries. It is hard to deter-mine which vertices or edges are visited during shortest path traversals. In this paper, we…

社会与信息网络 · 计算机科学 2014-12-30 Waqas Nawaz , Kifayat Ullah Khan , Young-Koo Lee

This paper studies real-world road networks from an algorithmic perspective, focusing on empirical studies that yield useful properties of road networks that can be exploited in the design of fast algorithms that deal with geographic data.…

计算几何 · 计算机科学 2009-05-14 David Eppstein , Michael T. Goodrich

Let G be a graph with minimum degree $\delta$. It is well-known that maximal adjacency orderings (MAOs) compute a vertex set S such that every pair of S is connected by at least $\delta$ internally vertex-disjoint paths in G. We present an…

离散数学 · 计算机科学 2016-09-22 Johanna E. Preißer , Jens M. Schmidt

Given a directed graph of nodes and edges connecting them, a common problem is to find the shortest path between any two nodes. Here we show that the shortest path distances can be found by a simple matrix inversion: If the edges are given…

数据结构与算法 · 计算机科学 2024-07-25 Zeyu Jing , Markus Meister

We propose an efficient and scalable architecture for processing generalized graph-pattern queries as they are specified by the current W3C recommendation of the SPARQL 1.1 "Query Language" component. Specifically, the class of queries we…

数据库 · 计算机科学 2016-12-21 Sairam Gurajada , Martin Theobald

Consider the continuum of points along the edges of a network, i.e., a connected, undirected graph with positive edge weights. We measure the distance between these points in terms of the weighted shortest path distance, called the network…

数据结构与算法 · 计算机科学 2015-07-30 Carsten Grimm

In this paper, we continue our development of algorithms used for topological network discovery. We present native P system versions of two fundamental problems in graph theory: finding the maximum number of edge- and node-disjoint paths…

分布式、并行与集群计算 · 计算机科学 2010-11-03 Michael J. Dinneen , Yun-Bum Kim , Radu Nicolescu

We present new refinement heuristics for the balanced graph partitioning problem that break with an age-old rule. Traditionally, local search only permits moves that keep the block sizes balanced (below a size constraint). In this work, we…

社会与信息网络 · 计算机科学 2025-05-13 Nikolai Maas , Lars Gottesbüren , Daniel Seemaier

We propose a novel sequence prediction method for sequential data capturing node traversals in graphs. Our method builds on a statistical modelling framework that combines multiple higher-order network models into a single multi-order…

机器学习 · 计算机科学 2023-10-25 Christoph Gote , Giona Casiraghi , Frank Schweitzer , Ingo Scholtes

Addressing a quest by Gupta et al. [ICALP'14], we provide a first, comprehensive study of finding a short s-t path in the multistage graph model, referred to as the Multistage s-t Path problem. Herein, given a sequence of graphs over the…

计算复杂性 · 计算机科学 2020-07-02 Till Fluschnik , Rolf Niedermeier , Carsten Schubert , Philipp Zschoche
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