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We study the problem of point-to-point distance querying for massive scale-free graphs, which is important for numerous applications. Given a directed or undirected graph, we propose to build an index for answering such queries based on a…

Databases · Computer Science 2014-05-05 Minhao Jiang , Ada Wai-Chee Fu , Raymond Chi-Wing Wong , Yanyan Xu

Graph labeling problems have been widely studied in the last decades and have a vast area of application. In this work, we study the recently introduced S-labeling problem, in which the nodes get labeled using labels from 1 to |V | and for…

Optimization and Control · Mathematics 2019-09-12 Markus Sinnl

The graph exploration problem requires a group of mobile robots, initially placed arbitrarily on the nodes of a graph, to work collaboratively to explore the graph such that each node is eventually visited by at least one robot. One…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-15 Subhrangsu Mandal , Anisur Rahaman Molla , William K. Moses

We consider the problem of exploration of an anonymous, port-labeled, undirected graph with $n$ nodes and $m$ edges and diameter $D$, by a single mobile agent. Initially the agent does not know the graph topology nor any of the global…

Data Structures and Algorithms · Computer Science 2015-12-01 Artur Menc , Dominik Pająk , Przemysław Uznański

A scalable semi-supervised node classification method on graph-structured data, called GraphHop, is proposed in this work. The graph contains attributes of all nodes but labels of a few nodes. The classical label propagation (LP) method and…

Machine Learning · Computer Science 2021-01-08 Tian Xie , Bin Wang , C. -C. Jay Kuo

Graph Neural Networks (GNNs) have been widely applied in the semi-supervised node classification task, where a key point lies in how to sufficiently leverage the limited but valuable label information. Most of the classical GNNs solely use…

Machine Learning · Computer Science 2022-12-26 Le Yu , Leilei Sun , Bowen Du , Tongyu Zhu , Weifeng Lv

Semi-supervised learning on graphs is a widely applicable problem in network science and machine learning. Two standard algorithms -- label propagation and graph neural networks -- both operate by repeatedly passing information along edges,…

Machine Learning · Computer Science 2021-02-02 Junteng Jia , Austin R. Benson

In the Travelling Salesman Problem, every vertex of an edge-weighted graph has to be visited by an agent who traverses the edges of the graph. In this problem, it is usually assumed that the costs of each edge are given in advance, making…

Data Structures and Algorithms · Computer Science 2025-01-31 Matthias Gehnen , Ralf Klasing , Émile Naquin

Exact pattern matching in labeled graphs is the problem of searching paths of a graph $G=(V,E)$ that spell the same string as the pattern $P[1..m]$. This basic problem can be found at the heart of more complex operations on variation graphs…

Computational Complexity · Computer Science 2020-06-04 Massimo Equi , Roberto Grossi , Veli Mäkinen

We consider the problem of periodic graph exploration in which a mobile entity with constant memory, an agent, has to visit all n nodes of an arbitrary undirected graph G in a periodic manner. Graphs are supposed to be anonymous, that is,…

Discrete Mathematics · Computer Science 2009-05-13 J. Czyzowicz , S. Dobrev , L. Gasieniec , D. Ilcinkas , J. Jansson , R. Klasing , I. Lignos , R. Martin , K. Sadakane , W. -K. Sung

We spot a hole in the area of succinct data structures for graph classes from a universe of size at most $n^n$. Very often, the input graph is labeled by the user in an arbitrary and easy-to-use way, and the data structure for the graph…

Data Structures and Algorithms · Computer Science 2023-11-07 Sankardeep Chakraborty , Christian Engels , Seungbum Jo , Mingmou Liu

Node classification in attributed graphs is an important task in multiple practical settings, but it can often be difficult or expensive to obtain labels. Active learning can improve the achieved classification performance for a given…

Machine Learning · Computer Science 2020-07-13 Florence Regol , Soumyasundar Pal , Yingxue Zhang , Mark Coates

The increased availability of interactive maps on the Internet and on personal mobile devices has created new challenges in computational cartography and, in particular, for label placement in maps. Operations like rotation, zoom, and…

Computational Geometry · Computer Science 2016-09-22 Lukas Barth , Benjamin Niedermann , Martin Nöllenburg , Darren Strash

A labelled, undirected graph is a graph whose edges have assigned labels, from a specific set. Given a labelled, undirected graph, the well-known minimum labelling spanning tree problem is aimed at finding the spanning tree of the graph…

Discrete Mathematics · Computer Science 2018-07-03 Jose' Andres Moreno Perez , Sergio Consoli

In the literature, most existing graph-based semi-supervised learning (SSL) methods only use the label information of observed samples in the label propagation stage, while ignoring such valuable information when learning the graph. In this…

Computer Vision and Pattern Recognition · Computer Science 2017-02-14 Liansheng Zhuang , Zihan Zhou , Jingwen Yin , Shenghua Gao , Zhouchen Lin , Yi Ma , Nenghai Yu

Graph pattern matching is a routine process for a wide variety of applications such as social network analysis. It is typically defined in terms of subgraph isomorphism which is NP-Complete. To lower its complexity, many extensions of graph…

Databases · Computer Science 2018-04-13 Houari Mahfoud

A distance labeling scheme labels the $n$ nodes of a graph with binary strings such that, given the labels of any two nodes, one can determine the distance in the graph between the two nodes by looking only at the labels. A $D$-preserving…

Data Structures and Algorithms · Computer Science 2016-09-09 Stephen Alstrup , Søren Dahlgaard , Mathias Bæk Tejs Knudsen , Ely Porat

Graph embedding provides an efficient solution for graph analysis by converting the graph into a low-dimensional space which preserves the structure information. In contrast to the graph structure data, the i.i.d. node embedding can be…

Machine Learning · Computer Science 2017-05-16 Hongyun Cai , Vincent W. Zheng , Kevin Chen-Chuan Chang

Hub labeling schemes are popular methods for computing distances on road networks and other large complex networks, often answering to a query within a few microseconds for graphs with millions of edges. In this work, we study their…

Data Structures and Algorithms · Computer Science 2020-10-30 Guillaume Ducoffe

The present work deals with active sampling of graph nodes representing training data for binary classification. The graph may be given or constructed using similarity measures among nodal features. Leveraging the graph for classification…

Machine Learning · Statistics 2018-10-17 Dimitris Berberidis , Georgios B. Giannakis