Bera Sanchari, Pal Madhumangal
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721 102 India.
Neural Comput Appl. 2022;34(1):745-756. doi: 10.1007/s00521-021-06405-9. Epub 2021 Aug 29.
The concept of domination is one of the most significant topics in graph theory to handle unpredictable phenomena. In this study, an unprecedented idea of domination is introduced in - (-PIVFG). Domination number (DN), isolated vertex, total dominating set, independent set of domination on -PIVFG are discussed. Some algebraic properties of domination on -PIVFG are investigated. Weak domination, strong domination, split and non-split domination, cototal and global dominating sets on -PIVFG are investigated with some fundamental hypotheses and models. We explore the concept of domination in -PIVFG by solving a case study of locating new facilities to handle a catastrophe reaction activity due to the "COVID-19 pandemic" in West Bengal, India. Ultimately, conclusions and avenues of future scopes are placed at the end of this study.
支配概念是图论中处理不可预测现象的最重要主题之一。在本研究中，在 - (-PIVFG) 中引入了一种前所未有的支配思想。讨论了 -PIVFG 上的支配数（DN）、孤立顶点、全支配集、独立支配集。研究了 -PIVFG 上支配的一些代数性质。基于一些基本假设和模型，研究了 -PIVFG 上的弱支配、强支配、分裂和非分裂支配、余全支配集和全局支配集。我们通过解决一个案例研究来探索 -PIVFG 中的支配概念，该案例研究是关于在印度西孟加拉邦因“COVID-19 大流行”而定位新设施以应对灾难反应活动的。最终，本研究末尾给出了结论和未来研究范围的途径。
