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In this paper, matching pairs of random graphs under the community structure model is considered. The problem emerges naturally in various applications such as privacy, image processing and DNA sequencing. A pair of randomly generated…

Cryptography and Security · Computer Science 2018-11-01 F. Shirani , S. Garg , E. Erkip

Preferential attachment graphs are random graphs designed to mimic properties of typical real world networks. They are constructed by a random process that iteratively adds vertices and attaches them preferentially to vertices that already…

Discrete Mathematics · Computer Science 2018-03-30 Jan Dreier , Philipp Kuinke , Peter Rossmanith

We investigate adjacency labeling schemes for graphs of bounded degree $\Delta = O(1)$. In particular, we present an optimal (up to an additive constant) $\log n + O(1)$ adjacency labeling scheme for bounded degree trees. The latter scheme…

Discrete Mathematics · Computer Science 2014-04-03 David Adjiashvili , Noy Rotbart

Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$, and $f$ be a 0-1 labeling of $E(G)$ so that the absolute difference in the number of edges labeled 1 and 0 is no more than one. Call such a labeling $f$ \emph{edge-friendly}. We…

Combinatorics · Mathematics 2011-06-07 Elliot Krop , Sin-Min Lee , Christopher Raridan

In a random intersection graph $G_{n,m,p}$, each of $n$ vertices selects a random subset of a set of $m$ labels by including each label independently with probability $p$ and edges are drawn between vertices that have at least one label in…

Discrete Mathematics · Computer Science 2022-10-06 Filippos Christodoulou , Sotiris Nikoletseas , Christoforos Raptopoulos , Paul Spirakis

We study the question of ``how robust are the known lower bounds of labeling schemes when one increases the number of consulted labels''. Let $f$ be a function on pairs of vertices. An $f$-labeling scheme for a family of graphs $\cF$ labels…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Amos Korman , Shay Kutten

The paper presents fault-tolerant (FT) labeling schemes for general graphs, as well as, improved FT routing schemes. For a given $n$-vertex graph $G$ and a bound $f$ on the number of faults, an $f$-FT connectivity labeling scheme is a…

Data Structures and Algorithms · Computer Science 2021-06-02 Michal Dory , Merav Parter

Many real-world applications of image recognition require multi-label learning, whose goal is to find all labels in an image. Thus, robustness of such systems to adversarial image perturbations is extremely important. However, despite a…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Hassan Mahmood , Ehsan Elhamifar

A distance labeling scheme is an assignments of labels, that is binary strings, to all nodes of a graph, so that the distance between any two nodes can be computed from their labels and the labels are as short as possible. A major open…

Data Structures and Algorithms · Computer Science 2016-11-22 Paweł Gawrychowski , Przemysław Uznański

Given a set of nonempty subsets of some universal set, their intersection graph is defined as the graph with one vertex for each set and two vertices are adjacent precisely when their representing sets have non-empty intersection. Sometimes…

General Mathematics · Mathematics 2016-02-15 Mahipal Jadeja , Rahul Muthu , Sunitha V

A distance labeling scheme is an assignment of bit-labels to the vertices of an undirected, unweighted graph such that the distance between any pair of vertices can be decoded solely from their labels. An important class of distance…

Data Structures and Algorithms · Computer Science 2019-06-25 Adrian Kosowski , Przemysław Uznański , Laurent Viennot

Active learning (AL) on attributed graphs has received increasing attention with the prevalence of graph-structured data. Although AL has been widely studied for alleviating label sparsity issues with the conventional non-related data, how…

Machine Learning · Computer Science 2020-08-07 Yayong Li , Jie Yin , Ling Chen

The high cost of data labeling often results in node label shortage in real applications. To improve node classification accuracy, graph-based semi-supervised learning leverages the ample unlabeled nodes to train together with the scarce…

Machine Learning · Computer Science 2023-03-14 Jiaren Xiao , Quanyu Dai , Xiaochen Xie , James Lam , Ka-Wai Kwok

In the graph label selection problem, one is given an $n$-vertex graph and a budget $k$, and seeks to select $k$ vertices whose labels enable accurate prediction of the labels on the remaining vertices. This problem formalizes distilling a…

Data Structures and Algorithms · Computer Science 2026-05-21 Josia John , Simon Meierhans , Maximilian Probst Gutenberg

With the rapid development of Deep Neural Networks (DNNs), they have been applied in numerous fields. However, research indicates that DNNs are susceptible to adversarial examples, and this is equally true in the multi-label domain. To…

Artificial Intelligence · Computer Science 2024-09-27 Yujiang Liu , Wenjian Luo , Zhijian Chen , Muhammad Luqman Naseem

A graph neural network transforms features in each vertex's neighborhood into a vector representation of the vertex. Afterward, each vertex's representation is used independently for predicting its label. This standard pipeline implicitly…

Machine Learning · Computer Science 2020-06-18 Junteng Jia , Austin R. Benson

Sketch recognition allows natural and efficient interaction in pen-based interfaces. A key obstacle to building accurate sketch recognizers has been the difficulty of creating large amounts of annotated training data. Several authors have…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Erelcan Yanik , Tevfik Metin Sezgin

Artificial neural networks are prone to being fooled by carefully perturbed inputs which cause an egregious misclassification. These \textit{adversarial} attacks have been the focus of extensive research. Likewise, there has been an…

Machine Learning · Computer Science 2023-10-11 Dwight Nwaigwe , Lucrezia Carboni , Martial Mermillod , Sophie Achard , Michel Dojat

Motivated by optimization oracles in bandits with network interference, we study the Neighborhood-Aware Graph Labeling (NAGL) problem. Given a graph $G = (V,E)$, a label set of size $L$, and local reward functions $f_v$ accessed via…

Data Structures and Algorithms · Computer Science 2026-02-23 Mohammad Shahverdikondori , Sepehr Elahi , Patrick Thiran , Negar Kiyavash

Self-supervised learning of graph neural networks (GNN) is in great need because of the widespread label scarcity issue in real-world graph/network data. Graph contrastive learning (GCL), by training GNNs to maximize the correspondence…

Machine Learning · Computer Science 2021-11-04 Susheel Suresh , Pan Li , Cong Hao , Jennifer Neville