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Breadth First Search (BFS) is a widely used approach for sampling large unknown Internet topologies. Its main advantage over random walks and other exploration techniques is that a BFS sample is a plausible graph on its own, and therefore…

Social and Information Networks · Computer Science 2011-02-23 Maciej Kurant , Athina Markopoulou , Patrick Thiran

For many real-world networks only a small "sampled" version of the original network may be investigated; those results are then used to draw conclusions about the actual system. Variants of breadth-first search (BFS) sampling, which are…

Network embedding algorithms are able to learn latent feature representations of nodes, transforming networks into lower dimensional vector representations. Typical key applications, which have effectively been addressed using network…

Machine Learning · Computer Science 2018-09-10 Duong Nguyen , Fragkiskos D. Malliaros

Breadth-first search (BFS) is known as a basic search strategy for learning graph properties. As the scales of graph databases have increased tremendously in recent years, large-scale graphs G are often disk-resident. Obtaining the BFS…

Data Structures and Algorithms · Computer Science 2025-07-18 Xiaolong Wan , Xixian Han

Breadth-First Search (BFS) is a building block used in a wide array of graph analytics and is used in various network analysis domains: social, road, transportation, communication, and much more. Over the last two decades, network sizes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-26 Oded Green

Evolving graphs arise in problems where interrelations between data change over time. We present a breadth first search (BFS) algorithm for evolving graphs that computes the most direct influences between nodes at two different times. Using…

Social and Information Networks · Computer Science 2016-03-07 Jiahao Chen , Weijian Zhang

Estimating distributions of node characteristics (labels) such as number of connections or citizenship of users in a social network via edge and node sampling is a vital part of the study of complex networks. Due to its low cost, sampling…

Social and Information Networks · Computer Science 2018-07-17 Fabricio Murai , Bruno Ribeiro , Don Towsley , Pinghui Wang

It is well-known since the seventies of last century that Depth First Search (DFS) can be used to compute strongly connected components [RE. Tarjan. SIAM Journal on Computing, 1972] and Breadth First Search (BFS) can be used to compute…

Data Structures and Algorithms · Computer Science 2026-05-05 Binh-Minh Bui-Xuan , Michel Habib , Fabien de Montgolfier , Renaud Torfs

While it is well-known and acknowledged that the performance of graph algorithms is heavily dependent on the input data, there has been surprisingly little research to quantify and predict the impact the graph structure has on performance.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-04 Merijn Verstraaten , Ana Lucia Varbanescu , Cees de Laat

The Breadth First Search (BFS) algorithm is the foundation and building block of many higher graph-based operations such as spanning trees, shortest paths and betweenness centrality. The importance of this algorithm increases each day due…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-04 Julian Romera

Preference restrictions have played a significant role in computational social choice. This paper studies a framework that connects preference restrictions with classical graph search paradigms. We model candidates as vertices of a graph…

Computer Science and Game Theory · Computer Science 2026-05-07 Guozhen Rong , Xin Li , Yongjie Yang

The BFS algorithm is a basic graph data processing algorithm and many other graph data processing algorithms have similar architectural features with BFS algorithm and can be built on the basis of BFS algorithm model. We analyze the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-30 Chenglong Zhang

Sampling technique has become one of the recent research focuses in the graph-related fields. Most of the existing graph sampling algorithms tend to sample the high degree or low degree nodes in the complex networks because of the…

Social and Information Networks · Computer Science 2018-02-02 Junpeng Zhu , Hui Li , Mei Chen , Zhenyu Dai , Ming Zhu

The challenges of graph stream algorithms are twofold. First, each edge needs to be processed only once, and second, it needs to work on highly constrained memory. Diffusion degree is a measure of node centrality that can be calculated (for…

Data Structures and Algorithms · Computer Science 2024-02-01 Vinit Ramesh Gore , Suman Kundu , Anggy Eka Pratiwi

In this paper we show how graph structure can be used to drastically reduce the computational bottleneck of the Breadth First Search algorithm (the foundation of many graph traversal techniques). In particular, we address parallel…

Data Structures and Algorithms · Computer Science 2015-11-30 Damien Fay

Despite great effort spent measuring topological features of large networks like the Internet, it was recently argued that sampling based on taking paths through the network (e.g., traceroutes) introduces a fundamental bias in the observed…

Disordered Systems and Neural Networks · Physics 2009-09-29 Aaron Clauset , Cristopher Moore

Although Breadth-First Search (BFS) has several advantages over Depth-First Search (DFS) its prohibitive space requirements have meant that algorithm designers often pass it over in favor of DFS. To address this shortcoming, we introduce a…

Software Engineering · Computer Science 2012-07-05 Srinivas Nedunuri , William R. Cook , Douglas R. Smith

Consider a search from the root of an ordered tree with $n$ edges to some target node at a fixed distance $\ell$ from that root. We compare the average time complexity of the breadth-first search (BFS) and depth-first search (DFS)…

Data Structures and Algorithms · Computer Science 2024-04-09 Stoyan Dimitrov , Martin Minchev , Yan Zhuang

Probabilistic breadth-first traversals (BPTs) are used in many network science and graph machine learning applications. In this paper, we are motivated by the application of BPTs in stochastic diffusion-based graph problems such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-21 Reece Neff , Mostafa Eghbali Zarch , Marco Minutoli , Mahantesh Halappanavar , Antonino Tumeo , Ananth Kalyanaraman , Michela Becchi

To find a shortest path between two nodes $s_0$ and $s_1$ in a given graph, a classical approach is to start a Breadth-First Search (BFS) from $s_0$ and run it until the search discovers $s_1$. Alternatively, one can start two Breadth-First…

Social and Information Networks · Computer Science 2024-10-30 Sacha Cerf , Benjamin Dayan , Umberto De Ambroggio , Marc Kaufmann , Johannes Lengler , Ulysse Schaller
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