Genus of graphs under picture fuzzy environment with applications
| العنوان: | Genus of graphs under picture fuzzy environment with applications |
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| المؤلفون: | Ganesh Ghorai, Madhumangal Pal, Sankar Das |
| المصدر: | Journal of Ambient Intelligence and Humanized Computing. 12:10741-10756 |
| بيانات النشر: | Springer Science and Business Media LLC, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Surface (mathematics), General Computer Science, Mathematics::General Mathematics, Computer science, 0211 other engineering and technologies, 02 engineering and technology, Fuzzy logic, symbols.namesake, Mathematics::Algebraic Geometry, TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY, Genus (mathematics), ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, 0202 electrical engineering, electronic engineering, information engineering, ComputingMethodologies_COMPUTERGRAPHICS, Discrete mathematics, 021103 operations research, Degree (graph theory), Mathematics::Geometric Topology, Planarity testing, Graph, Euler's formula, symbols, Embedding, 020201 artificial intelligence & image processing, ComputingMethodologies_GENERAL, Isomorphism, MathematicsofComputing_DISCRETEMATHEMATICS |
| الوصف: | In this study, the embedding of picture fuzzy graphs on the surface of spheres is introduced. The picture fuzzy genus graph with its genus value and strong (weak) picture fuzzy genus graphs are defined. Some important properties of picture fuzzy genus graphs are discussed. A relation between genus value and degree of planarity of picture fuzzy graph is established. The isomorphism properties of picture fuzzy genus graphs are studied. The Euler polyhedral equation in terms of genus value is established here. Finally, two real-life applications of picture fuzzy genus graph in traffic problem on road network and electronic circuit design on planar sheet are exhibited. |
| تدمد: | 1868-5145 1868-5137 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::14f3496540808f9815ac479b2e841bc5Test https://doi.org/10.1007/s12652-020-02887-yTest |
| حقوق: | CLOSED |
| رقم الانضمام: | edsair.doi...........14f3496540808f9815ac479b2e841bc5 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 18685145 18685137 |
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