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Graph embeddings have become a key and widely used technique within the field of graph mining, proving to be successful across a broad range of domains including social, citation, transportation and biological. Graph embedding techniques…

Machine Learning · Computer Science 2018-06-21 Stephen Bonner , Ibad Kureshi , John Brennan , Georgios Theodoropoulos , Andrew Stephen McGough , Boguslaw Obara

We tackle the problem of attributed graph transformations and propose a new algorithmic approach for defining parallel graph transformations allowing overlaps. We start by introducing some abstract operations over graph structures. Then, we…

Logic in Computer Science · Computer Science 2018-08-10 Thierry Boy de la Tour , Rachid Echahed

A pseudoline arrangement graph is a planar graph induced by an embedding of a (simple) pseudoline arrangement. We study the corresponding graph realization problem and properties of pseudoline arrangement graphs. In the first part, we give…

Combinatorics · Mathematics 2021-03-04 Sandip Das , Siddani Bhaskara Rao , Uma kant Sahoo

We consider the problem of analyzing social network data sets in which the edges of the network have timestamps, and we wish to analyze the subgraphs formed from edges in contiguous subintervals of these timestamps. We provide data…

Data Structures and Algorithms · Computer Science 2012-09-27 Michael J. Bannister , Christopher DuBois , David Eppstein , Padhraic Smyth

Locally-biased graph algorithms are algorithms that attempt to find local or small-scale structure in a large data graph. In some cases, this can be accomplished by adding some sort of locality constraint and calling a traditional graph…

Social and Information Networks · Computer Science 2016-12-06 Kimon Fountoulakis , David Gleich , Michael Mahoney

Learning faithful graph representations as sets of vertex embeddings has become a fundamental intermediary step in a wide range of machine learning applications. The quality of the embeddings is usually determined by how well the geometry…

Machine Learning · Computer Science 2021-05-13 Federico López , Beatrice Pozzetti , Steve Trettel , Anna Wienhard

Graph matching consists of aligning the vertices of two unlabeled graphs in order to maximize the shared structure across networks; when the graphs are unipartite, this is commonly formulated as minimizing their edge disagreements. In this…

Machine Learning · Statistics 2021-04-13 Jesús Arroyo , Carey E. Priebe , Vince Lyzinski

In this thesis, we study connections between metric and combinatorial graphs from a Dirichlet space point of view.

Mathematical Physics · Physics 2017-05-19 Sebastian Haeseler

A linear layout of a graph consists of a linear ordering of its vertices and a partition of its edges into pages such that the edges assigned to the same page obey some constraint. The two most prominent and widely studied types of linear…

Discrete Mathematics · Computer Science 2025-08-07 Emilio Di Giacomo , Walter Didimo , Henry Förster , Torsten Ueckerdt , Johannes Zink

Graph-level contrastive learning, aiming to learn the representations for each graph by contrasting two augmented graphs, has attracted considerable attention. Previous studies usually simply assume that a graph and its augmented graph as a…

Artificial Intelligence · Computer Science 2024-04-15 Yanbei Liu , Yu Zhao , Xiao Wang , Lei Geng , Zhitao Xiao

Nonlinear time series analysis is an active field of research that studies the structure of complex signals in order to derive information of the process that generated those series, for understanding, modeling and forecasting purposes. In…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Lucas Lacasa , Raul Toral

With the advent of end-to-end deep learning approaches in machine translation, interest in word alignments initially decreased; however, they have again become a focus of research more recently. Alignments are useful for typological…

Computation and Language · Computer Science 2021-09-15 Ayyoob Imani , Masoud Jalili Sabet , Lütfi Kerem Şenel , Philipp Dufter , François Yvon , Hinrich Schütze

Retrieving cohesive subgraphs in networks is a fundamental problem in social network analysis and graph data management. These subgraphs can be used for marketing strategies or recommendation systems. Despite the introduction of numerous…

Social and Information Networks · Computer Science 2025-07-16 Dahee Kim , Song Kim , Jeongseon Kim , Junghoon Kim , Kaiyu Feng , Sungsu Lim , Jungeun Kim

Protein subcellular localization is an important factor in normal cellular processes and disease. While many protein localization resources treat it as static, protein localization is dynamic and heavily influenced by biological context.…

Molecular Networks · Quantitative Biology 2022-12-13 Chris S. Magnano , Anthony Gitter

In this survey we overview known results on the strong subgraph $k$-connectivity and strong subgraph $k$-arc-connectivity of digraphs. After an introductory section, the paper is divided into four sections: basic results, algorithms and…

Discrete Mathematics · Computer Science 2018-08-09 Yuefang Sun , Gregory Gutin

Starting from a description of various generalized function algebras based on sequence spaces, we develop the general framework for considering linear problems with singular coefficients or non linear problems. Therefore, we prove…

Functional Analysis · Mathematics 2007-05-23 Antoine Delcroix , Maximilian F. Hasler , Stevan Pilipović , Vincent Valmorin

Random intersection graphs have received much interest and been used in diverse applications. They are naturally induced in modeling secure sensor networks under random key predistribution schemes, as well as in modeling the topologies of…

Discrete Mathematics · Computer Science 2015-04-14 Jun Zhao , Osman Yağan , Virgil Gligor

A random intersection graph is constructed by assigning independently to each vertex a subset of a given set and drawing an edge between two vertices if and only if their respective subsets intersect. In this paper a model is developed in…

Probability · Mathematics 2015-09-24 Maria Deijfen , Willemien Kets

We provide an algorithm to check whether two rational space curves are related by a similarity. The algorithm exploits the relationship between the curvatures and torsions of two similar curves, which is formulated in a computer algebra…

Algebraic Geometry · Mathematics 2017-06-13 Juan Gerardo Alcázar , Carlos Hermoso , Georg Muntingh

The visibility graph of a simple polygon represents visibility relations between its vertices. Knowing the correct order of the vertices around the boundary of a polygon and its visibility graph, it is an open problem to locate the vertices…

Computational Geometry · Computer Science 2019-05-03 Sahar Mehrpour , Alireza Zarei
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