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The maximum clique problem (MCP) is a fundamental problem in graph theory and in computational complexity. Given a graph G, the problem is that of finding the largest clique (complete subgraph) in G. The MCP has many important applications…

神经与进化计算 · 计算机科学 2024-09-30 Michael Vella , John Abela , Kristian Guillaumier

The (\textsc{Weighted}) \textsc{Subset Feedback Vertex Set} problem is a generalization of the classical \textsc{Feedback Vertex Set} problem and asks for a vertex set of minimum (weighted) size that intersects all cycles containing a…

数据结构与算法 · 计算机科学 2018-05-21 Charis Papadopoulos , Spyridon Tzimas

Understanding genetic variation, e.g., through mutations, in organisms is crucial to unravel their effects on the environment and human health. A fundamental characterization can be obtained by solving the haplotype assembly problem, which…

基因组学 · 定量生物学 2022-10-25 Hansheng Xue , Vaibhav Rajan , Yu Lin

We propose a simple, powerful, and flexible machine learning framework for (i) reducing the search space of computationally difficult enumeration variants of subset problems and (ii) augmenting existing state-of-the-art solvers with…

机器学习 · 计算机科学 2019-02-25 Juho Lauri , Sourav Dutta

In this paper, we lay the groundwork on the comparison of phylogenetic networks based on edge contractions and expansions as edit operations, as originally proposed by Robinson and Foulds to compare trees. We prove that these operations…

数据结构与算法 · 计算机科学 2025-02-21 Bertrand Marchand , Nadia Tahiri , Olivier Tremblay-Savard , Manuel Lafond

Subgraph matching is a fundamental problem in graph analysis with a wide range of applications. However, due to its inherent NP-hardness, enumerating subgraph matches efficiently on large real-world graphs remains highly challenging. Most…

数据库 · 计算机科学 2026-03-11 Linglin Yang , Xunbin Su , Lei Zou , Xiangyang Gou , Yinnian Lin

A hypergraph is a generalization of a graph, in which a hyperedge can connect multiple vertices, modeling complex relationships involving multiple vertices simultaneously. Hypergraph pattern matching, which is to find all isomorphic…

数据库 · 计算机科学 2025-12-23 Siwoo Song , Wonseok Shin , Kunsoo Park , Giuseppe F. Italiano , Zhengyi Yang , Wenjie Zhang

Densest Subgraph Problem (DSP) is an important primitive problem with a wide range of applications, including fraud detection, community detection and DNA motif discovery. Edge-based density is one of the most common metrics in DSP.…

数据库 · 计算机科学 2023-10-31 Yugao Zhu , Shenghua Liu , Wenjie Feng , Xueqi Cheng

A rigorous runtime analysis of evolutionary multi-objective optimization for the classical vertex cover problem in the context of parameterized complexity analysis has been presented by Kratsch and Neumann (2013). In this paper, we extend…

神经与进化计算 · 计算机科学 2016-04-07 Mojgan Pourhassan , Feng Shi , Frank Neumann

We introduce a hybrid metaphor for the visualization of the reconciliations of co-phylogenetic trees, that are mappings among the nodes of two trees. The typical application is the visualization of the co-evolution of hosts and parasites in…

数据结构与算法 · 计算机科学 2017-09-01 Tiziana Calamoneri , Valentino Di Donato , Diego Mariottini , Maurizio Patrignani

Phylogenetic methods typically rely on an appropriate model of how data evolved in order to infer an accurate phylogenetic tree. For molecular data, standard statistical methods have provided an effective strategy for extracting…

种群与进化 · 定量生物学 2015-01-21 Robert W. Scotland , Mike Steel

This article is devoted to propose some lower and upper bounds for the coupled-tasks scheduling problem in presence of compatibility constraints according to classical complexity hypothesis ($\mathcal{P} \neq \mathcal{NP}$,…

计算复杂性 · 计算机科学 2017-06-08 Rodolphe Giroudeau , Jean-Claude König , Benoit Darties , Gilles Simonin

This paper discusses various types of constraints, difficulties and solutions to overcome the challenges regarding university course allocation problem. A hybrid evolutionary algorithm has been defined combining Local Repair Algorithm and…

神经与进化计算 · 计算机科学 2023-07-25 Dibyo Fabian Dofadar , Riyo Hayat Khan , Shafqat Hasan , Towshik Anam Taj , Arif Shakil , Mahbub Majumdar

A connected graph has a $(k,\ell)$-cover if each of its edges is contained in at least $\ell$ cliques of order $k$. Motivated by recent advances in extremal combinatorics and the literature on edge modification problems, we study the…

数据结构与算法 · 计算机科学 2025-11-12 Amirali Madani , Anil Maheshwari , Babak Miraftab , Bodhayan Roy

The study of fault-tolerant data structures for various network design problems is a prominent area of research in computer science. Likewise, the study of NP-Complete problems lies at the heart of computer science with numerous results in…

数据结构与算法 · 计算机科学 2020-09-15 Pranabendu Misra

This letter considers optimizing user association in a heterogeneous network via utility maximization, which is a combinatorial optimization problem due to integer constraints. Different from existing solutions based on convex optimization,…

信息论 · 计算机科学 2018-06-12 Xietian Huang , Wei Xu , Guo Xie , Shi Jin , Xiaohu You

Evolutionary computing (EC) has proven to be effective in solving complex optimization and robotics problems. Unfortunately, typical Evolutionary Algorithms (EAs) are constrained by the computational capacity available to researchers. More…

分布式、并行与集群计算 · 计算机科学 2025-02-19 Rustam Eynaliyev , Houcen Liu

Finding the exact integrality gap $\alpha$ for the LP relaxation of the 2-edge-connected spanning multigraph problem (2EC) is closely related to the same problem for the Held-Karp relaxation of the metric traveling salesman problem (TSP).…

离散数学 · 计算机科学 2021-08-19 Arash Haddadan , Alantha Newman

Graph matching aims to find the latent vertex correspondence between two edge-correlated graphs and has found numerous applications across different fields. In this paper, we study a seeded graph matching problem, which assumes that a set…

数据结构与算法 · 计算机科学 2021-01-06 Liren Yu , Jiaming Xu , Xiaojun Lin

A monitoring edge-geodetic set of a graph is a subset $M$ of its vertices such that for every edge $e$ in the graph, deleting $e$ increases the distance between at least one pair of vertices in $M$. We study the following computational…

计算复杂性 · 计算机科学 2025-05-27 Florent Foucaud , Clara Marcille , R. B. Sandeep , Sagnik Sen , S Taruni