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Related papers: Node ranking in labeled networks

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We propose a method for the classification of objects that are structured as random trees. Our aim is to model a distribution over the node label assignments in settings where the tree data structure is associated with node attributes…

Machine Learning · Computer Science 2024-09-18 Wouter W. L. Nuijten , Vlado Menkovski

Given a network, the critical node detection problem finds a subset of nodes whose removal disrupts the network connectivity. Since many real-world systems are naturally modeled as graphs, assessing the vulnerability of the network is…

Discrete Mathematics · Computer Science 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

To rank nodes in quasi-hierarchical networks of social nature, it is necessary to carry out a detailed analysis of the network and evaluate the results obtained according to all the given criteria and identify the most influential nodes.…

Social and Information Networks · Computer Science 2017-11-16 A. M. Soboliev , D. V. Lande

A $k$-ranking of a graph $G$ is a labeling of its vertices from $\{1,\ldots,k\}$ such that any nontrivial path whose endpoints have the same label contains a larger label. The least $k$ for which $G$ has a $k$-ranking is the ranking number…

Combinatorics · Mathematics 2014-01-16 Daniel C. McDonald

We investigate the problem of active learning on a given tree whose nodes are assigned binary labels in an adversarial way. Inspired by recent results by Guillory and Bilmes, we characterize (up to constant factors) the optimal placement of…

Machine Learning · Computer Science 2013-01-23 Nicolo Cesa-Bianchi , Claudio Gentile , Fabio Vitale , Giovanni Zappella

Finding densely connected groups of nodes in networks is a widely used tool for analysis in graph mining. A popular choice for finding such groups is to find subgraphs with a high average degree. While useful, interpreting such subgraphs…

Social and Information Networks · Computer Science 2023-09-08 Iiro Kumpulainen , Nikolaj Tatti

The importance of a node in a directed graph can be measured by its PageRank. The PageRank of a node is used in a number of application contexts - including ranking websites - and can be interpreted as the average portion of time spent at…

Data Structures and Algorithms · Computer Science 2014-05-22 Balázs Csanád Csáji , Raphaël M. Jungers , Vincent D. Blondel

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

Competition is ubiquitous in many complex biological, social, and technological systems, playing an integral role in the evolutionary dynamics of the systems. It is often useful to determine the dominance hierarchy or the rankings of the…

Physics and Society · Physics 2019-01-09 Seungkyu Shin , Sebastian E. Ahnert , Juyong Park

We study a social network consisting of agents organized as a hierarchical M-ary rooted tree, common in enterprise and military organizational structures. The goal is to aggregate information to solve a binary hypothesis testing problem.…

Social and Information Networks · Computer Science 2015-06-05 Zhenliang Zhang , Edwin K. P. Chong , Ali Pezeshki , William Moran , Stephen D. Howard

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

Social and Information Networks · Computer Science 2020-02-06 Xiaoxiao Li , Joao Saude

Network node embedding is an active research subfield of complex network analysis. This paper contributes a novel approach to learning network node embeddings and direct node classification using a node ranking scheme coupled with an…

Machine Learning · Computer Science 2021-09-14 Blaž Škrlj , Jan Kralj , Janez Konc , Marko Robnik-Šikonja , Nada Lavrač

Large tree structures are ubiquitous and real-world relational datasets often have information associated with nodes (e.g., labels or other attributes) and edges (e.g., weights or distances) that need to be communicated to the viewers. Yet,…

Computational Geometry · Computer Science 2023-05-18 Kathryn Gray , Mingwei Li , Reyan Ahmed , Md. Khaledur Rahman , Ariful Azad , Stephen Kobourov , Katy Börner

Graph Neural Networks (GNNs) have achieved great success on a node classification task. Despite the broad interest in developing and evaluating GNNs, they have been assessed with limited benchmark datasets. As a result, the existing…

Machine Learning · Computer Science 2022-12-29 Seiji Maekawa , Koki Noda , Yuya Sasaki , Makoto Onizuka

A $k$-ranking of a graph $G$ is a labeling of its vertices from $\{1,\ldots,k\}$ such that any nontrivial path whose endpoints have the same label contains a larger label. The least $k$ for which $G$ has a $k$-ranking is the ranking number…

Combinatorics · Mathematics 2014-01-14 Daniel C. McDonald

Network embedding methods aim at learning low-dimensional latent representation of nodes in a network. While achieving competitive performance on a variety of network inference tasks such as node classification and link prediction, these…

Social and Information Networks · Computer Science 2018-09-17 Haochen Chen , Xiaofei Sun , Yingtao Tian , Bryan Perozzi , Muhao Chen , Steven Skiena

We present novel graph kernels for graphs with node and edge labels that have ordered neighborhoods, i.e. when neighbor nodes follow an order. Graphs with ordered neighborhoods are a natural data representation for evolving graphs where…

Machine Learning · Computer Science 2018-05-30 Moez Draief , Konstantin Kutzkov , Kevin Scaman , Milan Vojnovic

Real-world networks are often complex and large with millions of nodes, posing a great challenge for analysts to quickly see the big picture for more productive subsequent analysis. We aim at facilitating exploration of node-attributed…

Social and Information Networks · Computer Science 2015-12-21 Jia Wang , Kevin Chen-Chuan Chang , Hari Sundaram

We present a physics-inspired method for inferring dynamic rankings in directed temporal networks - networks in which each directed and timestamped edge reflects the outcome and timing of a pairwise interaction. The inferred ranking of each…

Multi-label ranking maps instances to a ranked set of predicted labels from multiple possible classes. The ranking approach for multi-label learning problems received attention for its success in multi-label classification, with one of the…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Emine Dari , V. Bugra Yesilkaynak , Alican Mertan , Gozde Unal