New concepts of regular and (highly) irregular vague graphs with applications

• الحاوية / القاعدة: Fuzzy Information and Engineering
• المؤلفون الرئيسيون: Elham Darabian, Rajab Ali Borzooei, Hossein Rashmanlou, Mehrdad Azadi
• التنسيق: مقال
• اللغة: الإنجليزية
• منشور في: Tsinghua University Press 2017-06-01
• الموضوعات: Vague graph; dm-degree; dm-regular vague graph; m-highly irregular vague graph
• الوصول للمادة أونلاين: http://www.sciencedirect.com/science/article/pii/S1616865817301401
• تدمد: 1616-8658

In this paper, some types of vague graphs are introdaced such as dm-regular, tdm-regular, m-highly irregular and m-highly totally irregular vague graphs are introduced and some properties of them are discussed. Comparative study between dm-regular (m-highly irregular) vague graph and tdm-regular (m-highly totally irregular) vague graph are done. In addition, dm-regularity and m-highly irregularity on some vague graphs, which underlying crisp graphs are a cycle or a path is also studied. Finally, some applications of regular vague graphs are given for demonstration of fullerene molecules, road transport network and wireless multihop networks.