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Set covering problem is an important class of combinatorial optimization problems, which has been widely applied and studied in many fields. In this paper, we propose an improved column generation algorithm with neural prediction (CG-P) for…

Machine Learning · Computer Science 2022-07-13 Haofeng Yuan , Peng Jiang , Shiji Song

We study the problem of coloring a given graph using a small number of colors in several well-established models of computation for big data. These include the data streaming model, the general graph query model, the massively parallel…

Data Structures and Algorithms · Computer Science 2019-05-03 Suman K. Bera , Amit Chakrabarti , Prantar Ghosh

A parallel genetic algorithm (GA) implemented on GPU clusters is proposed to solve the Uncapacitated Single Allocation p-Hub Median problem. The GA uses binary and integer encoding and genetic operators adapted to this problem. Our GA is…

Discrete Mathematics · Computer Science 2018-08-24 Abdelhamid Benaini , Achraf Berrajaa , Jaouad Boukachour , Mustapha Oudani

Edge perturbation is a basic method to modify graph structures. It can be categorized into two veins based on their effects on the performance of graph neural networks (GNNs), i.e., graph data augmentation and attack. Surprisingly, both…

Machine Learning · Computer Science 2024-03-14 Xin Liu , Yuxiang Zhang , Meng Wu , Mingyu Yan , Kun He , Wei Yan , Shirui Pan , Xiaochun Ye , Dongrui Fan

The survey provides an overview of the developing area of parameterized algorithms for graph modification problems. We concentrate on edge modification problems, where the task is to change a small number of adjacencies in a graph in order…

Data Structures and Algorithms · Computer Science 2020-02-19 Christophe Crespelle , Pål Grønås Drange , Fedor V. Fomin , Petr A. Golovach

We study the problem of distance-preserving graph compression for weighted paths and trees. The problem entails a weighted graph $G = (V, E)$ with non-negative weights, and a subset of edges $E^{\prime} \subset E$ which needs to be removed…

Data Structures and Algorithms · Computer Science 2024-09-19 Amirali Madani , Anil Maheshwari

We study the parameterized complexity of a broad class of problems called "local graph partitioning problems" that includes the classical fixed cardinality problems as max k-vertex cover, k-densest subgraph, etc. By developing a technique…

Computational Complexity · Computer Science 2013-06-11 Edouard Bonnet , Bruno Escoffier , Vangelis Th. Paschos , Emeric Tourniaire

An instance of the graph-constrained max-cut (GCMC) problem consists of (i) an undirected graph G and (ii) edge-weights on a complete undirected graph on the same vertex set. The objective is to find a subset of vertices satisfying some…

Data Structures and Algorithms · Computer Science 2018-10-18 Jon Lee , Viswanath Nagarajan , Xiangkun Shen

Graph coarsening reduces the size of a graph while preserving certain properties. Most existing methods preserve either spectral or spatial characteristics. Recent research has shown that preserving topological features helps maintain the…

Machine Learning · Computer Science 2026-02-02 Xiang Wu , Rong-Hua Li , Xunkai Li , Kangfei Zhao , Hongchao Qin , Guoren Wang

This paper presents a new type of genetic algorithm for the set covering problem. It differs from previous evolutionary approaches first because it is an indirect algorithm, i.e. the actual solutions are found by an external decoder…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin

Computational Pangenomics is an emerging field that studies genetic variation using a graph structure encompassing multiple genomes. Visualizing pangenome graphs is vital for understanding genome diversity. Yet, handling large graphs can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-29 Jiajie Li , Jan-Niklas Schmelzle , Yixiao Du , Simon Heumos , Andrea Guarracino , Giulia Guidi , Pjotr Prins , Erik Garrison , Zhiru Zhang

We introduce the partition function of edge-colored graph homomorphisms, of which the usual partition function of graph homomorphisms is a specialization, and present an efficient algorithm to approximate it in a certain domain. Corollaries…

Combinatorics · Mathematics 2015-05-05 Alexander Barvinok , Pablo Soberón

The ability to compute similarity scores between graphs based on metrics such as Graph Edit Distance (GED) is important in many real-world applications. Computing exact GED values is typically an NP-hard problem and traditional algorithms…

Machine Learning · Computer Science 2022-08-18 Haoyan Xu , Runjian Chen , Yueyang Wang , Ziheng Duan , Jie Feng

The Gaussian process (GP) regression can be severely biased when the data are contaminated by outliers. This paper presents a new robust GP regression algorithm that iteratively trims the most extreme data points. While the new algorithm…

Machine Learning · Computer Science 2021-06-15 Zhao-Zhou Li , Lu Li , Zhengyi Shao

The evolution of gene regulatory networks in variable environments poses Multi-objective Optimization Problem (MOP), where the expression levels of genes must be tuned to meet the demands of each environment. When formalized in the context…

Optimization and Control · Mathematics 2018-04-23 Philippe Nghe , Bela M. Mulder , Sander J. Tans

Say that an edge of a graph G dominates itself and every other edge adjacent to it. An edge dominating set of a graph G = (V,E) is a subset of edges E' of E which dominates all edges of G. In particular, if every edge of G is dominated by…

Discrete Mathematics · Computer Science 2013-03-12 Min Chih Lin , Michel J. Mizrahi , Jayme L. Szwarcfiter

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

Data Structures and Algorithms · Computer Science 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

The focus of this paper is two fold. Firstly, we present a logical approach to graph modification problems such as minimum node deletion, edge deletion, edge augmentation problems by expressing them as an expression in first order (FO)…

Logic in Computer Science · Computer Science 2017-11-09 Kona Harshita , Sounaka Mishra , Renjith. P , N. Sadagopan

Balanced partitioning is often a crucial first step in solving large-scale graph optimization problems, e.g., in some cases, a big graph can be chopped into pieces that fit on one machine to be processed independently before stitching the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-10 Kevin Aydin , MohammadHossein Bateni , Vahab Mirrokni

Cartesian Genetic Programming (CGP) suffers from a specific limitation: Positional bias, a phenomenon in which mostly genes at the start of the genome contribute to a program output, while genes at the end rarely do. This can lead to an…

Neural and Evolutionary Computing · Computer Science 2024-10-02 Henning Cui , Andreas Margraf , Jörg Hähner