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In this paper we compare search and inference in graphical models through the new framework of AND/OR search. Specifically, we compare Variable Elimination (VE) and memoryintensive AND/OR Search (AO) and place algorithms such as graph-based…

Artificial Intelligence · Computer Science 2012-07-09 Robert Mateescu , Rina Dechter

In this paper, we propose a graph classification approach for automatically determining whether to use a monolithic or a decomposition-based solution method. In this approach, an optimization problem is represented as a graph that captures…

Optimization and Control · Mathematics 2023-10-12 Ilias Mitrai , Prodromos Daoutidis

Recent years have witnessed the great success of graph pre-training for graph representation learning. With hundreds of graph pre-training tasks proposed, integrating knowledge acquired from multiple pre-training tasks has become a popular…

Machine Learning · Computer Science 2024-03-05 Tianyu Fan , Lirong Wu , Yufei Huang , Haitao Lin , Cheng Tan , Zhangyang Gao , Stan Z. Li

Algorithmic meta-theorems provide an important tool for showing tractability of graph problems on graph classes defined by structural restrictions. While such results are well established for static graphs, corresponding frameworks for…

Discrete Mathematics · Computer Science 2026-02-17 Michelle Döring , Jessica Enright , Laura Larios-Jones , George Skretas

Pattern matching is a fundamental tool for answering complex graph queries. Unfortunately, existing solutions have limited capabilities: they do not scale to process large graphs and/or support only a restricted set of search templates or…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-22 Tahsin Reza , Hassan Halawa , Matei Ripeanu , Geoffrey Sanders , Roger Pearce

The Gaussian graphical model, a popular paradigm for studying relationship among variables in a wide range of applications, has attracted great attention in recent years. This paper considers a fundamental question: When is it possible to…

Statistics Theory · Mathematics 2015-06-04 Zhao Ren , Tingni Sun , Cun-Hui Zhang , Harrison H. Zhou

The min-rank of a digraph was shown by Bar-Yossef et al. (2006) to represent the length of an optimal scalar linear solution of the corresponding instance of the Index Coding with Side Information (ICSI) problem. In this work, the graphs…

Information Theory · Computer Science 2013-03-19 Son Hoang Dau , Vitaly Skachek , Yeow Meng Chee

A monitoring edge-geodetic set, or simply an MEG-set, of a graph $G$ is a vertex subset $M \subseteq V(G)$ such that given any edge $e$ of $G$, $e$ lies on every shortest $u$-$v$ path of $G$, for some $u,v \in M$. The monitoring…

Discrete Mathematics · Computer Science 2025-01-22 Florent Foucaud , Clara Marcille , Zin Mar Myint , R. B. Sandeep , Sagnik Sen , S. Taruni

While there have been many results on lower bounds for Max Cut in unweighted graphs, there are only few results for lower bounds for Max Cut in weighted graphs. In this paper, we launch an extensive study of lower bounds for Max Cut in…

Combinatorics · Mathematics 2024-08-13 Gregory Gutin , Anders Yeo

The graph matching optimization problem is an essential component for many tasks in computer vision, such as bringing two deformable objects in correspondence. Naturally, a wide range of applicable algorithms have been proposed in the last…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Stefan Haller , Lorenz Feineis , Lisa Hutschenreiter , Florian Bernard , Carsten Rother , Dagmar Kainmüller , Paul Swoboda , Bogdan Savchynskyy

We consider the problems of finding optimal identifying codes, (open) locating-dominating sets and resolving sets of an interval or a permutation graph. In these problems, one asks to find a subset of vertices, normally called a…

Discrete Mathematics · Computer Science 2017-07-17 Florent Foucaud , George B. Mertzios , Reza Naserasr , Aline Parreau , Petru Valicov

Sovereign network functions, e.g., routing protocols, are becoming increasingly complex and susceptible to failures arising from protocol configuration anomalies and anomalous configurations. This paper interprets the protocol configuration…

Networking and Internet Architecture · Computer Science 2026-05-19 Xin Hao , Wei Ni , Chenhan Zhang , Massimo Piccardi , Raymond Owen

As the number of IoT devices increases, security concerns become more prominent. The impact of threats can be minimized by deploying Network Intrusion Detection System (NIDS) by monitoring network traffic, detecting and discovering…

Cryptography and Security · Computer Science 2024-03-28 Lijin Wu , Shanshan Lei , Feilong Liao , Yuanjun Zheng , Yuxin Liu , Wentao Fu , Hao Song , Jiajun Zhou

This research introduces graph analysis methods and a modified Graph Attention Convolutional Neural Network (GAT) to the critical challenge of open source package vulnerability remediation by analyzing control flow graphs to profile…

Software Engineering · Computer Science 2024-03-11 Fernando Vera , Palina Pauliuchenka , Ethan Oh , Bai Chien Kao , Louis DiValentin , David A. Bader

In this paper, we study the parameterized complexity of the MaxMin versions of two fundamental separation problems: Maximum Minimal $st$-Separator and Maximum Minimal Odd Cycle Transversal (OCT), both parameterized by the solution size. In…

Computational Complexity · Computer Science 2025-02-18 Ajinkya Gaikwad , Hitendra Kumar , Soumen Maity , Saket Saurabh , Roohani Sharma

Graph-based classification methods are widely used for security and privacy analytics. Roughly speaking, graph-based classification methods include collective classification and graph neural network. Evading a graph-based classification…

Cryptography and Security · Computer Science 2019-08-14 Binghui Wang , Neil Zhenqiang Gong

The problem of incomplete data - i.e., data with missing or unknown values - in multi-way arrays is ubiquitous in biomedical signal processing, network traffic analysis, bibliometrics, social network analysis, chemometrics, computer vision,…

Numerical Analysis · Mathematics 2015-03-17 Evrim Acar , Tamara G. Kolda , Daniel M. Dunlavy , Morten Morup

The problem of learning discrete Bayesian networks from data is encoded as a weighted MAX-SAT problem and the MaxWalkSat local search algorithm is used to address it. For each dataset, the per-variable summands of the (BDeu) marginal…

Artificial Intelligence · Computer Science 2012-06-18 James Cussens

Recently, a novel, MaxSAT-based method for error correction in quantum computing has been proposed that requires both incremental MaxSAT solving capabilities and support for XOR constraints, but no dedicated MaxSAT solver fulfilling these…

Artificial Intelligence · Computer Science 2024-10-22 Ole Lübke

Identifying central entities and interactions is a fundamental problem in network science. While well-studied for graphs (pairwise relations), many biological and social systems exhibit higher-order interactions best modeled by hypergraphs.…

Physics and Society · Physics 2025-12-02 Jaewan Chun , Fanchen Bu , Yeongho Kim , Atsushi Miyauchi , Francesco Bonchi , Kijung Shin
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