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In this paper, we propose a high-speed greedy sequential algorithm for the vertex coloring problem (VCP), based on the Wave Function Collapse algorithm, called Wave Function Collapse Coloring (WFC-C). An iteration of this algorithm goes…

Data Structures and Algorithms · Computer Science 2021-08-24 Anh Mac , David Perkins

In this paper, we investigate the probabilistic set covering problem (PSCP) in which the right-hand side is a binary random vector and the covering constraint is required to be satisfied with a prespecified probability. We consider the case…

Optimization and Control · Mathematics 2026-03-24 Wei Lv , Wei-Kun Chen , Yi-Long Chen , Yu-Hong Dai

In this work, a study on Variable Neighborhood Search algorithms for multi-depot dial-a-ride problems is presented. In dial-a-ride problems patients need to be transported from pre-specified pickup locations to pre-specified delivery…

Discrete Mathematics · Computer Science 2016-11-17 Paolo Detti , Garazi Zabalo Manrique de Lara

Given an undirected graph $G = (V,E)$ with a set $V$ of vertices and a set $E$ of edges, the minimum sum coloring problem (MSCP) is to find a legal vertex coloring of $G$, using colors represented by natural numbers $1, 2, . . .$ such that…

Discrete Mathematics · Computer Science 2013-03-28 Qinghua Wu , Jin-Kao Hao

In this work, we present a branch-and-price algorithm to solve the weighted version of the List Coloring Problem, based on a vertex cover formulation by stable sets. This problem is interesting for its applications and also for the many…

Data Structures and Algorithms · Computer Science 2024-07-11 Mauro Lucci , Daniel Severin , Graciela Nasini

Given a vertex-colored graph, we say a path is a rainbow vertex path if all its internal vertices have distinct colors. The graph is rainbow vertex-connected if there is a rainbow vertex path between every pair of its vertices. In the…

Discrete Mathematics · Computer Science 2020-05-12 Paloma T. Lima , Erik Jan van Leeuwen , Marieke van der Wegen

In recent years, binary quadratic programming (BQP) has been successively applied to solve several combinatorial optimization problems. We consider in this paper a study of using the BQP model to solve the minimum sum coloring problem…

Data Structures and Algorithms · Computer Science 2013-04-23 Yang Wang , Jin-Kao Hao , Fred Glover , Zhipeng Lü

We consider the problem of characterizing graphs with the maximum spectral radius among the connected graphs with given numbers of vertices and edges. It is well-known that the candidates for extremal graphs are threshold graphs, but only a…

Graph coloring is used in wireless networks to optimize network resources: bandwidth and energy. Nodes access the medium according to their color. It is the responsibility of the coloring algorithm to ensure that interfering nodes do not…

Networking and Internet Architecture · Computer Science 2011-10-10 Ichrak Amdouni , Cédric Adjih , Pascale Minet

We study the Balanced Connected Subgraph(shortly, BCS) problem on geometric intersection graphs such as interval, circular-arc, permutation, unit-disk, outer-string graphs, etc. Given a vertex-colored graph $G=(V,E)$, where each vertex in…

Discrete Mathematics · Computer Science 2019-09-10 Sujoy Bhore , Satyabrata Jana , Supantha Pandit , Sasanka Roy

In the Minimum Consistent Subset (MCS) problem, we are presented with a connected simple undirected graph $G=(V,E)$, consisting of a vertex set $V$ of size $n$ and an edge set $E$. Each vertex in $V$ is assigned a color from the set…

Computational Geometry · Computer Science 2025-09-19 Aritra Banik , Sayani Das , Anil Maheshwari , Bubai Manna , Subhas C Nandy , Krishna Priya K M , Bodhayan Roy , Sasanka Roy , Abhishek Sahu

The problem of computing induced subgraphs that satisfy some specified restrictions arises in various applications of graph algorithms and has been well studied. In this paper, we consider the following Balanced Connected Subgraph (shortly,…

Discrete Mathematics · Computer Science 2018-09-25 Sujoy Bhore , Sourav Chakraborty , Satyabrata Jana , Joseph S. B. Mitchell , Supantha Pandit , Sasanka Roy

We introduce a generalization of the well known graph (vertex) coloring problem, which we call the problem of \emph{component coloring of graphs}. Given a graph, the problem is to color the vertices using minimum number of colors so that…

Discrete Mathematics · Computer Science 2012-11-06 Ajit Diwan , Soumitra Pal , Abhiram Ranade

The graph coloring problem (GCP) is one of the most studied NP-HARD problems in computer science. Given a graph , the task is to assign a color to all vertices such that no vertices sharing an edge receive the same color and that the number…

Neural and Evolutionary Computing · Computer Science 2021-11-19 Robiul Islam , Arup Kumar Pramanik

There are two main streams in up-to-date image denoising algorithms: non-local self similarity (NSS) prior based methods and convolutional neural network (CNN) based methods. The NSS based methods are favorable on images with regular and…

Computer Vision and Pattern Recognition · Computer Science 2017-04-04 Byeongyong Ahn , Nam Ik Cho

In this paper a variable neighborhood search approach as a method for solving combinatoric optimization problems is presented. A variable neighborhood search based algorithm for solving the problem concerning the university course timetable…

Data Structures and Algorithms · Computer Science 2016-06-14 Velin Kralev , Radoslava Kraleva

Graph Coloring is probably one of the most studied and famous problem in graph algorithms. Exact methods fail to solve instances with more than few hundred vertices, therefore, a large number of heuristics have been proposed. Nested Monte…

Artificial Intelligence · Computer Science 2025-04-07 Tristan Cazenave , Benjamin Negrevergne , Florian Sikora

In this study, we propose a reinforcement learning-based adaptive variable neighborhood search (RL-AVNS) method designed for effectively solving the Vehicle Routing Problem with Multiple Time Windows (VRPMTW). Unlike traditional adaptive…

Machine Learning · Computer Science 2025-05-30 Kuan Xu , Zhiguang Cao , Chenlong Zheng , Linong Liu

The Electric Vehicle Routing Problem (EVRP) extends the classical Vehicle Routing Problem (VRP) to reflect the growing use of electric and hybrid vehicles in logistics. Due to the variety of constraints considered in the literature,…

Artificial Intelligence · Computer Science 2025-11-14 David Woller , Viktor Kozák , Miroslav Kulich , Libor Přeučil

Patch-based denoising algorithms like BM3D have achieved outstanding performance. An important idea for the success of these methods is to exploit the recurrence of similar patches in an input image to estimate the underlying image…

Computer Vision and Pattern Recognition · Computer Science 2019-01-21 Si Lu