Spectral Heuristics Applied to Vertex Reliability

التفاصيل البيبلوغرافية
العنوان: Spectral Heuristics Applied to Vertex Reliability
المؤلفون: Oliveira, Carla Silva, Junior, Fausto Marques Pinheiro, Brito, Jose Andre de Moura
سنة النشر: 2022
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Discrete Mathematics
الوصف: The operability of a network concerns its ability to remain operational, despite possible failures in its links or equipment. One may model the network through a graph to evaluate and increase this operability. Its vertices and edges correspond to the users equipment and their connections, respectively. In this article, the problem addressed is identifying the topological change in the graph that leads to a greater increase in the operability of the associated network, considering the case in which failure occurs in the network equipment only. More specifically, we propose two spectral heuristics to improve the vertex reliability in graphs through a single edge insertion. The performance these heuristics and others that are usually found in the literature are evaluated by computational experiments with 22000 graphs of orders 10 up to 20, generated using the Models Erdos-Renyi, Barabasi-Albert, and Watts-Strogatz. From the experiments, it can be observed through analysis and application of statistical test, that one of the spectral heuristics presented a superior performance in relation to the others.
Comment: 7 pages, 2 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2211.08514
رقم الأكسشن: edsarx.2211.08514
قاعدة البيانات: arXiv