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常安简介

  常安,福州大学教授,博士生导师。

1983年毕业于青海师范大学数学系数学专业,1990年获新疆大学数学专业硕士学位,1998年毕业于四川大学数学系,获应用数学专业博士学位。曾获2004年获福建省科学技术二等奖,2008年获批国务院政府特殊津贴专家。目前兼任中国数学会组合数学与图论专业委员会委员、中国运筹学会理事、福建省运筹学会理事长。

主要从事图与超图的谱理论研究,近年的研究工作主要集中在超图的张量谱理论及其应用研究方面。至今已在国内外专业期刊发表研究论文70余篇,作为主要研究成员参加了2项国家“973”课题和多项国家自然科学基金项目的研究工作,并主持多项国家自然科学基金和省级科研项目。已培养出站博士后1名,毕业博士研究生9名,毕业硕士研究生36名。

 

主持或参加的主要科研项目:

1、国家自然科学基金面上项目,基于张量及其谱理论的若干超图问题研究,2022-01至-2025-12,在研,负责人

2、国家自然科学基金面上项目,图的最大割及其相关问题研究,2021-01至2024-12,在研,参加

3、国家自然科学基金面上项目,图与超图若干划分问题的研究,2017-01至2020-12,结题,参加

4、国家自然科学基金面上项目,超图的张量表示及其谱理论研究,2015-01至-2018-12,结题,负责人

5、国家自然科学基金委员会,重点项目,网络设计中的离散数学方法,2014/01-2018/12,结题,参加

6、国家科技部“973”课题,大规模集成电路物理设计中关键应用数学理论和方法,2010/11-2015/10,结题,参加

7、国家自然科学基金重点项目,极值图论,2010/01-2013/12,结题,参加

8、国家自然科学基金面上项目,图与超图谱理论的若干应用问题研究,2009/01-2011/12,结题,负责人

9、国家科技部“973”课题,大规模集成电路设计中的图论与代数方法,2006/09-2011/08,结题,参加

10、国家自然科学基金重点项目,子图覆盖与子图存在性的若干问题,2005/01-2008/12,结题,参加

11、国家自然科学基金面上项目,整数流、子图覆盖与代数图论,2004/01-2006/12,结题,参加

12、国家自然科学基金面上项目,图论在数学化学中的应用,2003/01-2004/12,结题,参加

13、国家自然科学基金面上项目,图、多面体与数学化学,2000/01-2002/12,结题,参加


已发表的部分研究论文:

[1] Guorong Gao, An ChangYuan Hou, Spectral radius on linear r-graphs without expanded Kr+1 , SIAM J. Discrete Math, Vol. 36 (2022), No. 2, 1000-1011.

[2] Chen, Bin,Chang, An,Turán number of 3-free strong digraphs with out-degree restrictionDiscrete Applied Mathematics314 (2022), 252-264.

[3] Yuan Hou, An Chang, Joshua Cooper,Spectral extremal results for hypergraphs, The Electronic Journal of Combinatorics, 28(3) (2021), #P3.46.

[4] Bin Chen, An Chang, 3-Free Strong Digraphs with the Maximum Size, Graphs and Combinatoric, 37(2021), No.6, 25352554.

[5] Bin Chen, An Chang, Diameter three orientability of bipartite graphs, The Electronic Journal of Combinatorics, 28(2) (2021), #P2.25.

[6] Guorong Gao, An ChangA linear hypergraph extension of the bipartite Turán problemEuropean Journal of Combinatorics932021),103269.

[7] Yuan Hou, An Chang, Chao Shi, On the α-spectra of uniform hypergraphs and its associated graphs, Acta Mathematica Sinica,Vol. 36, No. 7, (2020), 842–850.

[8] Wei Li, An Chang, The effect on the spectral radius of r-graphs by grafting or contracting edges, Linear Algebra and its Applications597, (2020) ,117.

[9] Yuan Hou, An Chang, Lei ZhangA homogeneous polynomial associated with general hypergraphs and its applicationsLinear Algebra and its Applications591, (2020) ,7286.

[10] Sarula Chang , An Chang, Yirong ZhengThe leaf-free graphs with nullity 2c(G) – 1Discrete Applied Mathematics277 (2020), 44-54.

[11] Lei Zhang, An CHANG, Spectral radius of r-uniform supertrees with perfect matchings, Front. Math. China, 2018, 13(6): 1489-1499.

[12] Yuan. Hou, An Chang, Lei ZhangLargest H-eigenvalue of uniform s-hypertreesFrontiers of Mathematics in China, Vol. 13 (2018) , No.2, 301-312.

[13] Deng, Bo, An, Chang, Zhao, Haixing, Spectral determination of a class of tricyclic graphs. Ars Combin.131(2017),123–141.

[14] Wei Li, Joshua Cooper and An Chang, Analytic connectivity of k-uniform hypergraphs, Linear and Multilinear Algebra, (2017), no. 6, 1247–1259

[15] Wei Li, An Chang, Upper Bounds for the Z-spectral Radius of Nonnegative Tensors, ADVANCES IN MATHEMATICS (CHINA), Vol.45, No.6 (2016), 912-918.

[16] Sa Rula, An Chang, and Yirong Zheng, The extremal graphs with respect to their nullity, Journal of Inequalities and Applications, (2016), Paper No. 71, 13 pp.  

[17] Yirong Zheng, An Chang and Jianxi Li, On the sum of the two largest Laplacian   eigenvalues of unicyclic graphs, Journal of Inequalities and Applications, (2015), Paper No. 275, 8 pp.  

[18] Wei LiAn ChangThe minimal Laplacian spectral radius of trees with given matching numberLinear and Multilinear AlgebraVol.622014,No.2, 218-228.  

[19] Jinshan XieA. Chang, On the Z-eigenvalues of the signless Laplacian tensor for an even uniform hypergraph, Numerical Linear Algebra with Applications, 2013, 201030-1045

[20] Jinshan XieA. Chang, On the Z-eigenvalues of the adjacency tensors for uniform hypergraphs, Linear Algebra and its Applications4392013, 2195-2204

[21] B. Deng, A. Chang, Maximal Balaban index of Graphs, MATCH Commun. Math. Comput. Chem. Vol. 70 (2013) , No.1259-286

[22] J. Li, W. C. Shiu, A. Chang:The Laplacian Spectral Radius of GraphsCzechoslovak Mathematical Journal60(135) (2010), no. 3, 835–847.

[23] J. Li, W. C. Shiu, A. Chang: The number of spanning trees of a graphApplied Mathematics Letters23 (2010) 286-290

[24]  An Chang, Wai Chee Shiu, On the kth Eigenvalues of Trees with Perfect MatchingsDiscrete Mathematics and Theoretical Computer Science, Vol.9(1) (2007), 321-332.

[25] Wenhuan Wang, An Chang, Lianzhu Zhang, Dongqiang Lu, Unicyclic Hückel molecular graphs with minimal energy,  J. of Mathematical Chemistry392006),No.1, 231-241 .

[26] Wei Li, An Chang, On the trees with maximum nullity, MATCH Commun. Math. Comput. Chem. 56(2006), 501-508.

[27] Ailian Cnen, An Chang, Wai Chee Shiu, Energy ordering of unicyclic graphs, MATCH Commun. Math. Comput. Chem. 55(2006), 95-102.

[28]  An Chang, Feng Tian, Aimei Yu, On the index of bicyclic graphs with perfect matchings, Discrete Mathematics2832004),51-59.

[29]  An Chang, On the largest eigenvalue of a tree with perfect matchings, Discrete Mathematics2692003),45-63.

[30]  An Chang, Qunxiang Huang, Ordering trees by their largest eigenvalues, Linear Algebra and its Applications, 3702003),175-184.

[31]  An Chang, Feng Tian,  On the spectral radius of uncyclic graphs with perfect matchings, Linear Algebra and its Applications, 3702003),237-250.

[32] Qunxiang Huang, An Chang,  Circulant digraphs determined by their spectra, Discrete Mathematics, 240(1-3), (2001), 261-270.

[33] Fuji Zhang, An Chang,  Acyclic molecules with greatest HOMO-LUMO separation, Discrete Applied Mathematics, 98 (1999), 165-171.

[34]  An Chang,  Bounds on the second largest eigenvalue of a tree with perfect matchingsLinear Algebra and its Applications, 283(1-3 ), (1998), 247-255.