学术报告-于桂海

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2020-07-13 17:20:33

学术报告


题      目:Spectral analysis of fuzzy hypergraphs


报  告  人:余桂海  教授  (邀请人:尤利华 )

                                     贵州财经大学大数据统计学院


时      间:2020-07-15 20:00--22:00


地      点:

        腾讯会议

        点击链接入会,或添加至会议列表:
             https://meeting.tencent.com/s/Sxc18bUApXns

             会议 ID:553 817 080     


报告人简介:

       于桂海,贵州财经大学教授,主要从事图论及其应用方面的研究工作,先后主持国家自然科学基金两项,中国博士后基金特别资助一项,中国博士后基金面上项目一项,贵州省科技厅重点项目一项,贵州省科技厅一般项目一项,教育厅科技拔尖人才项目一项,发表学术论文20余篇。

摘      要:

In this talk, we introduce quasi-Laplacian matrix of fuzzy hypergraphs and study its spectral properties to explore the structural information of fuzzy hypergraphs. Positive semi-definiteness,  Rayleigh-Ritz theorem and Perron-Frobenius theorem for quasi-Laplacian matrix are concluded. We derive an upper and lower bound for the spectral radius of quasi-Laplacian matrix for k-uniform fuzzy hypergraphs. Two operations on fuzzy hypergraphs are defined. The change of the spectral radius of quasi-Laplacian matrix under these two operations is also investigated.




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