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 Chang,Yuan 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 restriction,Discrete Applied Mathematics,314 (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, 2535–2554.
[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 Chang,A linear hypergraph extension of the bipartite Turán problem,European Journal of Combinatorics,93(2021),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 Applications,597, (2020) ,1–17.
[9] Yuan Hou, An Chang, Lei Zhang,A homogeneous polynomial associated with general hypergraphs and its applications,Linear Algebra and its Applications,591, (2020) ,72–86.
[10] Sarula Chang , An Chang, Yirong Zheng,The leaf-free graphs with nullity 2c(G) – 1,Discrete Applied Mathematics,277 (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 Zhang,Largest H-eigenvalue of uniform s-hypertrees, Frontiers 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 Li,An Chang,The minimal Laplacian spectral radius of trees with given matching number,Linear and Multilinear Algebra,Vol.62(2014),No.2, 218-228.
[19] Jinshan Xie,A. Chang, On the Z-eigenvalues of the signless Laplacian tensor for an even uniform hypergraph, Numerical Linear Algebra with Applications, 2013, 20:1030-1045
[20] Jinshan Xie,A. Chang, On the Z-eigenvalues of the adjacency tensors for uniform hypergraphs, Linear Algebra and its Applications,439,2013, 2195-2204
[21] B. Deng, A. Chang, Maximal Balaban index of Graphs, MATCH Commun. Math. Comput. Chem. Vol. 70 (2013) , No.1,259-286
[22] J. Li, W. C. Shiu, A. Chang:The Laplacian Spectral Radius of Graphs,Czechoslovak Mathematical Journal,60(135) (2010), no. 3, 835–847.
[23] J. Li, W. C. Shiu, A. Chang: The number of spanning trees of a graph,Applied Mathematics Letters,23 (2010) 286-290
[24] An Chang, Wai Chee Shiu, On the kth Eigenvalues of Trees with Perfect Matchings,Discrete 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 Chemistry,39(2006),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 Mathematics,283(2004),51-59.
[29] An Chang, On the largest eigenvalue of a tree with perfect matchings, Discrete Mathematics,269(2003),45-63.
[30] An Chang, Qunxiang Huang, Ordering trees by their largest eigenvalues, Linear Algebra and its Applications, 370(2003),175-184.
[31] An Chang, Feng Tian, On the spectral radius of uncyclic graphs with perfect matchings, Linear Algebra and its Applications, 370(2003),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 matchings, Linear Algebra and its Applications, 283(1-3 ), (1998), 247-255.