田贵贤
associate professor
Gender : Male
Alma Mater : 电子科技大学
Education Level : Graduate student graduate
Degree : Doctorate
Status : 在岗
School/Department : 数学科学学院
Date of Employment : 2009-07-01
Hits :
First Author : Gui-Xian Tian
Affiliation of Author(s): 数理与信息工程学院
Document Type : 期刊
Journal : Bulletin of the Malaysian Mathematical Sciences Society
ISSN : 0126-6705;2180-4206
Translation or Not : no
Key Words : Double;join;matrix;Laplacian;matrix;Laplacian;spectrum;Laplacian;eigenvector;Join;operation
Abstract : Many variants of join operations of graphs have been introduced, and their spectral properties have been studied extensively by many researchers. This paper mainly focuses on the Laplacian spectra of some double join operations of graphs. We first introdu
田贵贤 部门：浙江师范大学代数与组合研究所
职称：副教授 学术职务：学术型导师
E-mail：guixiantian@126.com
高等代数、组合矩阵论、离散数学、概率统计、运筹学、高等数学等
谱图理论、组合矩阵论、代数图论
1． 边改变对图的能量影响和有向图的能量问题（11126258），国家自然科学基金数学天元项目，2012.01-2012.12，主持，已结题
2． 图的能量中的若干问题研究（LY12A01006），浙江省自然科学基金项目，2012.01-2013.12，主持，在研
3． 关于图的能量的相关问题研究（Y201120835），浙江省教育厅科研项目，2011.10-2013.10，主持，已结题
4． 图的标号及相关问题研究（11271334），国家自然科学基金项目，2013.01-2016.12，4/10，在研
5． 关于图的Laplacian能量的研究（Y201225862），浙江省教育厅科研项目，2012.10-2014.10，3/4，在研
1. Gui-Xian Tian, The asymptotic behavior of (degree-)Kirchhoff indices of iterated total graphs of regular graphs, Discrete Appl. Math., 233 (2017) 224-230.
2. Shu-Yu Cui, Gui-Xian Tian, The spectra and the signless Laplacian spectra of graphs with pockets, Appl. Math. Comput., 315 (2017) 363-371.
3. Xue-Qin Zhu, Gui-Xian Tian, Shu-Yu Cui, Spectra of Partially Subdivision Neighbourhood Coronae, Adv. Math.(China), 46 (2017) 673-681.
4. Gui-Xian Tian, Ting-Zhu Huang, A note on upper bounds for the spectral radius of weighted graphs, Appl. Math.Comput., 243 (2014) 392-397.
5. Gui-Xian Tian, Shu-Yu Cui, On upper bounds for the energy of digraphs, Linear Algebra Appl., 438 (2013) 4742-4749.
6. Shu-Yu Cui, Gui-Xian Tian, A note on the skew energy of digraphs, Acta Math. Sinica (Chinese Ser.), 56 (2013) 401-408.
7. Gui-Xian Tian, Ting-Zhu Huang, Shu-Yu Cui, Sharp upper bounds for the largest Laplacian eigenvalue of mixed graphs, Ars Comb., 112 (2013) 361-371.
8. Shu-Yu Cui, Gui-Xian Tian, The spectrum and the signless Laplacian spectrum of coronae, Linear Algebra Appl., 437 (2012) 1692-1703.
9. Gui-Xian Tian, Ting-Zhu Huang, Shu-Yu Cui, Bounds on the Algebraic Connectivity of Graphs, Adv. Math. (China), 41(2) (2012) 217-224.
10. Jingjing Guo, Gui-Xian Tian, Yuehua Bu, A lower bound on the forth largest signless Laplacian eigenvalue of graphs, J. Math. Study, 45 (2012) 9-15.
11. Gui-Xian Tian, Ting-Zhu Huang, Bounds for the (Laplacian) spectral radius of graphs with parameter α, Czech. Math. J., 62 (2012) 567-580.
12. Shu-Yu Cui, Gui-Xian Tian, The signless Laplacian spectrum of the (edge) corona of two graphs, Utilitas Math., 88 (2012) 287-297.
13. Shu-Yu Cui, Gui-Xian Tian, On the sum of powers of the signless Laplacian eigenvalues of graphs, J. Combin. Math. Combin. Comput., 81 (2012) 243-255.
14. Gui-Xian Tian, On the skew energy of orientations of hypercubes, Linear Algebra Appl., 435 (2011) 2140-2149.
15. Gui-Xian Tian, Ting-Zhu Huang, Inequalities for the Minimum Eigenvalue of M-matrices. Electron. J. Linear Algebra, 20 (2010) 291-302.
16. Gui-Xian Tian, Ting-Zhu Huang, Shu-Yu Cui, The digraphs and inclusion intervals of matrix singular values, Numer. Linear Algebra Appl., 16 (2009) 677-687.
17. Gui-Xian Tian, Ting-Zhu Huang, Bo Zhou, A note on sum of powers of the Laplacian eigenvalues of bipartite graphs, Linear Algebra Appl., 430 (2009) 2503-2510.
18. Gui-Xian Tian, Ting-Zhu Huang, Shu-Yu Cui, Convergence of generalized AOR iterative method for linear systems with strictly diagonally dominant matrices, J. Comput. Appl. Math., 213 (2008) 240-247.
19. Ting-Zhu Huang, Gu-Fang Mou, Gui-Xian Tian, Zhongshan Li, Di Wang, Subdirect sums of P(P0)-matrices and totally nonnegative matrices, Linear Algebra Appl., 429 (2008) 1730-1743.
20. Gui-Xian Tian, Ting-Zhu Huang, Shu-Yu Cui, Closure properties of generalized ultrametric matrices, Adv. Math. (China), 37(5) (2008) 591-601.
至今指导已毕业硕士研究生10余人，其中2人考取博士研究生。指导研究生发表学术论文20余篇，其中SCI检索13篇。多人次获评研究生奖学金、校优秀毕业生、校优秀毕业论文等荣誉。指导本科荣誉班学生孙眉发表学术论文1篇，并赴美国哥伦比亚大学攻读研究生。
