冯立华副教授
博士,教授,硕士生导师,2007年2月于上海交通大学获得博士学位。2008年6月评为副教授,2014年9月评为教授。本人主要关注图论,代数图论, 组合矩阵论以及设计等相关问题及其在物理 化学中的应用。目前发表论文60余篇,其中SCI收录50余篇,被引用多次。Math Review评论员(No: 056682),国际杂志ISRN Combinatorics编委。 fenglh@163.com 组合矩阵论,代数组合学,图论及其应用 组合数学,图论,概率论与数理统计,线性代数,代数图论,高等数学 信息时代的组合数学--南开大学组合数学研究中心 陈院士 http://www.yongchuan.org/kepu/newscom.htm 1.主持国家自然科学基金青年基金 《图上的几类矩阵的特征值和积和式理论》(批准号:11101245),2012.1-2014.12)。 会议网站 http://www.math.uiuc.edu/~west/meetlist.html 自我介绍
热烈欢迎并热忱希望学习刻苦,态度认真,有理想,有追求,对本领域有兴趣的有志青年参与到我们团队的研究中来!
通讯地址:湖南长沙中南大学新校区数学与统计学院656室,邮编:410083电子邮箱
研究方向
主讲课程
学习经历
工作经历
在研项目
组合数学 http://v.ku6.com/playlist/index_2489333.html
组合数学_百度百科 http://baike.baidu.com/link?url=5LkCV_BpfGnl2d6dshoYBZAFXWjYeq9fktpSKv3I5s2twmMj043VB2R2HQ9rCsAiG8rvHhJgTVeQo93k80QvQ_
张晓东教授 http://math.sjtu.edu.cn/faculty/xiaodong/完成项目
2.主持山东省中青年科学家(博士)科研奖励基金《代数图论和化学图论中的若干问题》(批准号:BS2010SF017), 2010.10-2013.10)。
3.主持山东省教育厅基金《组合矩阵论及相关问题》(批准号:J07YH03,2008.1-2010.12)。
4.主持2011年第49批中国博士后基金二等资助《化学图论中几个矩阵的组合性质的研究》(20110491275)
5.参与山东省自然科学基金青年基金《基于图的eccentricity的性质的研究》ZR2011AQ005,2010.10--2012.11。(排名第二)
6. 参与山东省自然科学基金 环的Clean性与稳定度的研究
2008.11-2011.11。
7. 主持中南大学升华猎英计划资助
8. 参与国家自然科学基金 图的结构与特征值的相关问题11301302。(排名第二)
9.主持中南大学数学交叉中心一般项目一项。获奖情况
http://apps.webofknowledge.com/Search.do?product=UA&SID=P1RPDe68cLfu6L1RkfQ&search_mode=GeneralSearch&prID=7eded373-7d6e-487d-aea4-66c80f423d06
Mathscinet http://www.ams.org/mathscinet
ARXIV http://arxiv.org/list/math.CO/recent
发表论文
详见http://blog.sina.com.cn/s/blog_569c371f0100cq15.html
[1] Lihua Feng, Guihai Yu, Qiao Li, Minimizing the Laplacian eigenvalues for trees with given domination number, Linear Algebra Appl., 419 (2006) 648--655.
[2] Lihua Feng, Sharp upper bounds on the spectral radius of graphs, Vietnam J. Math., 35 (2007) 163--168.
[3] Lihua Feng, Qiao Li, Xiaodong Zhang, Some sharp upper bounds on the spectral radius of graphs, Taiwanese J. Math., 11(2007) 989--997.
[4] Lihua Feng, Guihai Yu, No starlike trees are Laplacian cospectral, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat., 18(2007) 46--51.
[5] Lihua Feng, Guihai Yu, Xiaodng Zhang, Spectral radius of graphs with given matching number, Linear Algebra Appl., 422(2007) 133--138.
[6] Lihua Feng, Qiao Li, Xiaodong Zhang, Minimizing the Laplacian spectral radius of trees with given matching number, Linear Multilinear Algebra, 55(2007) 199--207.
[7] Lihua Feng, Qiao Li, Xiaodong Zhang, Spectral radii of graphs with given chromatic number, Applied Math. Letters, 20(2007) 158--162.
[8] Lihua Feng, Yuqing Xu, An inequality on graph spectra, Applied Math. Letters, 20 (2007) 154--157.
IDS 号: 128PU
[9] Lihua Feng, Guihai Yu, A Turan theorem relating to the spectral radius of a graph, Journal of Shandong Univ. Sat. Sci., 43(2008) no. 6, 31--33.
[10] Lihua Feng, Guihai Yu, Zhengtao Jiang, Lingzhi Ren, Sharp upper bounds for the number of spanning trees of a graph, Appl. Anay. Discrete Math., 2(2008) 255--259.
[11] Lihua Feng, Guihai Yu, Xiqin Lin, Laplacian eigenvalues of graphs with given domination number, Asian-European Journal of Mathematics, 2(2009) 71--76.
[12] Lihua Feng, Guihai Yu, The signless Laplacian spectral radius of unicyclic graphs with graph constraints, Kyungpook Math. Journal, 49(2009), 123--131
[13] Lihua Feng, Guihai Yu, On three conjectures involving the signless Laplacian spectral radius of graphs, Publ. Inst. Math. (Beograd), 85(99) (2009) 35--38.
[14] Guihai Yu, Lihua Feng, On the Wiener index of unicyclic graphs with given girth, Ars Comb., 94(2010) 361--369.
[15] Lihua Feng, Guihai Yu, A note on the eigenvalues of graphs, Ars Comb., 94(2010) 221--227.
[16] Lihua Feng, The signless Laplacian spectral radius of bicyclic graphs with k pendant vertices, Kyungpook Math. Journal, 50(2010) 109--116.
[17] Guihai Yu, Lihua Feng, Randic index and eigenvalues of graphs, Rocky Mountain Journal of Math., 40(2010) 713--721.
[18] Lihua Feng, A. Ilic, Zagreb, Harary and hyper-Wiener indices of graphs with a given matching number, Applied Math. Letters, 23(2010) 943--948.
[19] Lihua Feng, Guihai Yu, A. Ilic, The Laplacian spectral radius for unicyclic graphs with given independence number, Linear Algebra Appl., 433(2010) 934--944.
[20] Lihua Feng, The Laplacian spectral radius of graphs with given matching number, Ars Comb., 96(2010) 257--262.
[21] Guihai Yu, Lihua Feng, A. Ilic, The hyper-Wiener index of trees with given parameters, Ars Comb., 96(2010) 395--404.
[22] Lihua Feng, A. Ilic, Guihai Yu, The hyper-Wiener index of unicyclic graphs, Utilitas Math., 82(2010) 215--225.
[23] Guihai Yu, Lihua Feng, On the maximal Harary index of a class of bicyclic graphs, Utilitas Math., 82(2010) 285--292.
[24] Lihua Feng, Guihai Yu, The signless Laplacian spectral radius of graphs with given diameter, Utilitas Math., 83(2010) 265--276.
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--[25X]Feng Lihua, Spectral radius of graphs with given diameter Ars Combinatorica, 98(2011)303-308
[26]* Guihai Yu, Lihua Feng, A. Ilic, On the eccentric distance sum of trees and unicyclic graphs, J. Math. Aanl. Appl., 375(2011) 99--107.
[27]* Lihua Feng, Guihai Yu, Spectral radius of unicyclic graphs with given independence number, Utilitas Math. 84(2011) 33-43.
[28] * Lihua Feng, Weijun Liu, Kexiang Xu, The hyper-Wiener index of bicyclic graphs, Utilitas Math. 84(2011) 97-104.
[29] * Lihua Feng, Weijun Liu, The maximum Gutman index of bicyclic graphs, MATCH Commun. Math. Comput. Chem., 66(2011) 699-708.
[30]* A. Ilic, D. Stevanovic, Lihua Feng, Guihai Yu, P. Dankelmann, Degree distance of unicyclic and bicyclic graphs, Discrete Appl. Math., 159(2011) 779--788.
[31]* A.Ilic, Guihai Yu, Lihua Feng, On the eccentric distance sum of graphs, J. Math. Anal. Appl., 381 (2011) 590–600
[32]* Lihua Feng, The hyper-Wiener index of unicyclic graphs with given matching number, Ars Comb., 100(2011) 9--17.
[33] * Kexiang Xu, Lihua Feng, Extremal energies of trees with a given domination number, Linear Algebra Appl., 435(2011) 2382--2393. no NSFSD
--[34X] S.C. Li, M. Zhang, G.H. Yu, L.H. Feng, On the extremal values of the eccentric distance sum of trees, Journal of Mathematical Analysis and Applications 390 (2012) 99--112.
---[35X] Lihua Feng, A. Ilic, The Laplacian spectral radius of graphs with given connectivity. Ars Combinatoria 104 (2012), 489-495
--[36X] Lihua Feng, A. Ilic, G. Yu, The second maximal and minimal Wiener index of unicyclic graphs with given girth. Ars Combinatoria 104 (2012), 13-22.
[37]* A.Ilic, Guihai Yu, Lihua Feng, The Harary index of trees. Utilitas Math. 87(2012 ) 21--32.
[38] * Guihai Yu, Lihua Feng, D. Wang, On the average eccentricity of unicyclic graphs, Ars Comb. 103(2012) 531--537.
[39] * Lihua Feng, Guihai Yu, Wejun Liu, The hyper-Wiener index of graphs with a given chromatic (clique) number, Utilitas Math. 88(2012) 399--407. cqnu July
[40] * Lihua Feng, Weijun Liu, The hyper-Wiener index of graphs with given diameter, Utilitas Math. 88(2012) 3--12. cqnu July
[41] * I Gutman, Lihua Feng, Guihai Yu, On the degree resistance distance of unicyclic graphs, Transactions on Combinatorics, Vol. 01 No. 2 (2012), 27-40. ISSN (print): 2251-8657, ISSN (on-line): 2251-8665.
[42] * Lihua Feng, The Gutman index of unicyclic graphs, Discrete Mathematics, Algorithms and Applications, Volume No.04, Issue No. 3 csu
--[43X] Lihua Feng, Guihai Yu, A. Ilic, D. Stevanovic, On the Signless Laplacian spectral radius of graphs on surfaces, Linear and Multilinear Algebra 61(2013) 573--581.(NO CSU)
[44]* Guihai Yu, Lihua Feng, On Connective Eccentricity Index of Graphs, MATCH Commun. Math. Comput. Chem. (69)2013 611-628
[45] * Lihua Feng, Ivan Gutman, Guihai Yu, Degree Kirchhoff index of unicyclic graphs, MATCH Commun. Math. Comput. Chem, (69)2013 629-648
[46] * Guihai Yu, Lihua Feng, Qingwen Wang, Bicyclic graphs with small positive index of inertia, Linear Algebra and its Applications, 438(2013)2036-2045.
[47] * Lihua Feng, Weijun Liu, A. Ilic, Guihai Yu, The degree distance of unicyclic graphs with given matching number.Graphs and Combinatorics: Volume 29, Issue 3 (2013), 449-462
[48] * X. Lin, Lihua Feng, G. Yu, Trees with small matching number and minimum Laplacian spectral radius, Journal of Zhejiang University (Science Edition), 40(5) (2013) 367-371.
[49]* Z. Du, A. Ilic,Lihua Feng, Further results on the distance spectral radius of graphs, Linear and Multilinear Algebra, 61(9) 2013 1287-1301.
[50] Guihai Yu, X. Zhang, Lihua Feng, The inertia of weighted unicyclic graphs, Linear Algebra Appl., 448(2014)130-152. ISSN: 0024-3795
[51]Lihua Feng, G. Yu, The hyper-Wiener index of cacti, Utilitas Mathematica, 93(2014) 57--64.ISSN:0315-3681
[52]Lihua Feng, G. Yu, K. Xu, Z. Jiang, A note on the Kirchhoff index of bicyclic graphs, Ars Comb. 114(2014) 33--40. ISSN:0381-7032
[53]Shifeng Ding, Lihua Feng, Weijun Liu, A combinatorial identity of multiple zeta values with even arguments, The Electronic Journal of Combinatorics 21(2) (2014), #P2.27 ISSN: 1077-8926
[54] Lihua Feng, Guihai Yu, W. Liu, Further results regarding the degree Kirchhoff index of a graph, Miskolc Mathematical Notes, 15 (2014), No. 1, 97--108. [2013 IF: 0.357 ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version),]
[55] Guihai Yu, H, Qu, L. Tang, Lihua Feng, On the Connective eccentricity Index of Trees and Unicyclic Graphs with Given Diameter, J. Math. Anal. Appl., 420 (2014) 1776-1786.ISSN:0381-7032
[56] Guihai Yu, Lihua Feng, Qingwen Wang, A. Ilic, The minimal positive index of inertia of signed unicyclic graphs, ARS Comb. 117(2014) 245-255. ISSN:0381-7032
[57]L. Feng, W. Liu, G. Yu, S. Li, The degree kirchhoff index of fully loaded unicyclic graphs and cacti, Utilitas Math. 95 (2014) 149--159.ISSN:0315-3681
[58] L. Feng, W. Liu, G. Yu, S. Li, The hyper-wiener index of graphs with given bipartition, Utilitas Math. 95 (2014) 23--32.ISSN:0315-3681
[59] H.Qu, G.Yu, Lihua Feng, More on minimum skew-rank of graphs, Operators and Matrices, 9(2015) 311–324
[60] Guihai Yu, Lihua Feng, A. Ilic, D. Stevanovic, The signless Laplacian spectral radius of bounded degree graphs on surfaces, Appl. Anal. Discrete Math., 9 (2015), 332--346.
[61] H. Liu, L Feng, The distance spectral radius of graphs with given independence number,ARS Comb. 121(2015) 113--123. 出版年: JUL 2015 ISSN:0381-7032
[62] L. Feng, K. Xu, Kinkar Ch. Das, A. Ilic, G. Yu, The number of spanning trees of a graph with a given matching number, International Journal of Computer Mathematics, ISSN: 0020-7160 (Print), 1029-0265
[63] The largest n-1 Hosoya index of unicyclic graphs, Filomat,in press. (NO CSU)
[64]The Extremal Values of Connective Eccentricity Index for Trees and Unicyclic Graphs
submitted and in preparation
The spectral radius of edge chromatic critical graphs
Some properties of graphs constructed from 2-(v,k,\lambda) designs
Regular bipartite graphs constructed from t-designs
The Laplacian eigenvalues of graphs with perfect packing
The minimal Harary index of trees with small diameter
The minimal Harary index of graphs with small independence number, domination number and maching number