Eternal Connected Vertex Cover Problem in Graphs: Complexity and Algorithms

K Paul, A Pandey - Conference on Algorithms and Discrete Applied …, 2024 - Springer
A variation of the vertex cover problem is the eternal vertex cover problem. This is a two-
player (attacker and defender) game, where the defender must allocate guards at specific …

Eternal vertex cover on bipartite graphs

J Babu, N Misra, SG Nanoti - International Computer Science Symposium …, 2022 - Springer
Abstract The Eternal Vertex Cover problem is a dynamic variant of the vertex cover problem.
We have a two player game in which guards are placed on some vertices of a graph. In …

Some algorithmic results for eternal vertex cover problem in graphs

K Paul, A Pandey - … Conference and Workshops on Algorithms and …, 2023 - Springer
Eternal vertex cover problem is a variant of the vertex cover problem. It is a two player
(attacker and defender) game in which given a graph, the defender needs to allocate guards …

Stability of vertex covers in a game with finitely many steps

VL Beresnev, AA Melnikov, SY Utyupin - Journal of Applied and Industrial …, 2024 - Springer
The eternal vertex cover problem is a version of the graph vertex cover problem that can be
represented as a dynamic game between two players (the Attacker and the Defender) with …

Representation of the Eternal Vertex Cover Problem as a Dynamic Stackelberg Game

V Beresnev, A Melnikov, S Utyupin - International Conference on …, 2023 - Springer
Eternal vertex cover problem is a variant of the graph vertex cover problem that can be
considered as a dynamic game between two players (Attacker and Defender) with an infinite …

[PDF][PDF] Computing Eternal Vertex Cover Number on Maximal Outerplanar Graphs in Linear Time.

J Babu, KM Krishnan, V Prabhakaran, NJ Warrier - ICTCS, 2022 - ceur-ws.org
Eternal vertex cover problem is a variant of the classical vertex cover problem modeled as a
two player attacker-defender game. Computing eternal vertex cover number of graphs is …

Eternal vertex cover number of maximal outerplanar graphs

J Babu, KM Krishnan, V Prabhakaran… - arXiv preprint arXiv …, 2022 - arxiv.org
Eternal vertex cover problem is a variant of the classical vertex cover problem modeled as a
two player attacker-defender game. Computing eternal vertex cover number of graphs is …

Eternal vertex cover on bipartite and co-bipartite graphs

N Misra, S Nanoti - arXiv preprint arXiv:2201.03820, 2022 - arxiv.org
Eternal Vertex Cover problem is a dynamic variant of the vertex cover problem. We have a
two player game in which guards are placed on some vertices of a graph. In every move …

Устойчивость вершинных покрытий в игре с конечным числом шагов

ВЛ Береснев, АА Мельников… - Дискретный анализ и …, 2024 - mathnet.ru
Задача о вечном вершинном покрытии является вариантом задачи о вершинном
покрытии графа и может рассматриваться как динамическая игра двух сторон …

[图书][B] Advances in Optimization and Applications

N Olenev, Y Evtushenko, M Jaćimović, M Khachay… - 2021 - Springer
This volume contains the second part of the refereed proceedings of the XII International
Conference on Optimization and Applications (OPTIMA 2021) 1. Organized annually since …