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个人简介

刘慧清,女,1968年9月出生。 2004年7月毕业于中科院数学与系统科学研究院,获理学博士学位。 2004年7月至2005年8月在南开大学数学科学学院工作。 2005年9月调入湖北大学工作。现为湖北大学数学与统计学学院数学系教授,硕/博士生导师。主要从事运筹学、图论及其应用等方面的研究。 2016年3月至2017年3月在美国佐治亚州立大学访问。 社会兼职: 中国运筹学会图论组合分会理事 中国工业与应用数学学会图论组合及应用专业委员会委员 湖北省运筹学会常务理事 获奖情况: 2011年,科学技术成果项目“图的结构性质、参数及其应用的研究”荣获湖北省科学技术奖励自然科学奖三等奖 科研项目: 自2006年以来主持或参加的项目: 1、2006年-2008年,参与承担国家自然科学基金面上项目“图的结构、参数及其应用的研究”(No.10571105) 2、2006年-2008年,参与国家自然科学青年基金面上项目“若干高维连续问题的计算复杂性”(No.10501026) 3、2007年-2009年,参与承担国家自然科学基金面上项目“图因子、路系统及相关问题”(No.10671081) 4、2008年-2009年,主持湖北省教育厅自然科学基金重点项目“图的拓扑指标及相关的组合结构”(No.D20081005) 5、2009年-2011年,参与湖北省高等学校优秀中青年科技创新团队计划“几何学及其应用”(No.T200901) 6、2010年-2012年,参与承担国家自然科学基金面上项目“网络的结构性质及拓扑参数研究”(No.10971114) 7、2012年-2015年,主持国家自然科学基金面上项目“图的结构性质、参数及参数化复杂性的研究”(No.11171097) 8、2014年-2017年,参与承担国家自然科学基金面上项目“互连网络结构性质及优化设计研究”(No.61373019) 9、2016年-2019年,主持国家自然科学基金面上项目“复杂网络的结构性质及参数的研究”(No.11571096)

研究领域

主要从事运筹学、图论及其应用等方面的研究

近期论文

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1.HuiqingLIU,MeiLUandFengTIAN,Neighborhoodunionsandcyclabilityofgraphs,DiscreteAppliedMathematics140(2004),91-101. 2.HuiqingLIU,MeiLUandFengTIAN,OntheLaplacianspectralradiusofagraph,LinearAlgebraanditsApplications376(2004),135-141. 3.HuiqingLIU,MeiLUandFengTIAN,Onthespectralradiusofgraphswithcutedges,LinearAlgebraanditsApplications389(2004),139-145. 4.MeiLU,HuiqingLIUandFengTIAN,Theconnectivityindex,MATCHCommun.Mathe.Comput.Chem.51(1)(2004),149-154. 5.HuiqingLIU,MeiLUandFengTIAN,OntheRandicindex,JournalofMathematicalChemistry38(2005),345-354. 6.XiangfengPAN,HuiqingandJunmingXU,SharplowerboundsforthegeneralRandicindexoftreeswithagivensizeofmatching,MATCHCommun.Math.Comput.Chem.54(2)(2005),465-480. 7.MeiLU,HuiqingLIUandFengTIAN,BoundsofLaplacianspectrumofgraphsbasedonthedominationnumber,LinearAlgebraanditsApplications402(2005),390-396. 8.MeiLU,HuiqingLIUandFengTIAN,Fan-Typetheoremforlongcyclescontainingaspecifiededge,GraphsandCombinatorics21(4)(2005),489-501. 9.MeiLU,HuiqingLIUandFengTIAN,Twosufficientconditionsfordominatingcycles,JournalofGraphTheory49(2)(2005),135-150. 10.HuiqingLIU,MeiLUandFengTIAN,Treesofextremalconnectivityindex,DiscreteAppliedMathematics154(2006),106-119. 11.HuiqingLIU,MeiLUandFengTIAN,OntheorderingoftreeswiththegeneralRandicindexoftheNordhaus-Gaddumtype,MATCHCommun.Mathe.Comput.Chem.55(3)(2006),419-426. 12.HuiqingLIU,XiangfengPANandJingminXU,OntheRandicindexofcontradujtedunicyclicgraphs,JournalofMathematicalChemistry40(2006),135-143. 13.MeiLU,HuiqingLIUandFengTIAN,Anewupperboundforthespectralradiusofgraphswithgirthatleast5,LinearAlgebraanditsApplications414(2006),512-516. 14.HuiqingLIU,MeiLUandFengTIAN,Someupperboundsofenergyofgraphs,JournalofMathematicalChemistry41(2007),45-57. 15.HuiqingLIU,MeiLUandFengTIAN,Onthespectralradiusofunicyclicgraphswithfixeddiameter,LinearAlgebraanditsApplications420(2007),449-457. 16.HuiqingLIU,XunYANandZhengYAN,OntheMerrifield-SimmonsindicesandHosoyaindicesoftreeswithaprescribeddiameter,MATCHCommun.Mathe.Comput.Chem.57(2)(2007),371-384. 17.HuiqingLIU,XunYANandZhengYAN,BoundsonthegeneralRandicindexoftreeswithagivenmaximumdegree,MATCHCommun.Mathe.Comput.Chem.58(1)(2007),165-176. 18.HuiqingLIUandMeiLU,Aunifiedapproachtoextremalcactifordifferentindices,MATCHCommun.Mathe.Comput.Chem.58(2007),193-204. 19.HuiqingLIU,MeiLUandFengTIAN,Relativelengthoflongestpathsandcyclesingraphs,GraphsandCombinatorics23(4)(2007),433–443. 20.ZhengYan,HuiqingLIU(Correspondingauthor)andHeguoLIU,SharpboundsforthesecondZagrebindexofunicyclicgraphs,JournalofMathematicalChemistry42(2007),565-574. 21.MeiLU,HuiqingLIUandFengTIAN,Laplacianspectralboundsforcliqueandindependencenumbersofgraphs,JournalofCombinatorialTheorySeriesB97(2007),726-732. 22.HuiqingLIU,TheproofofaconjectureconcerningacyclicmoleculargraphswithmaximalHosoyaindexanddiameter4,JournalofMathematicalChemistry43(2008),1199-1206. 23.HuiqingLIUandMeiLU,Sharpboundsonthespectralradiusandtheenergyofgraphs,MATCHCommun.Mathe.Comput.Chem.59(2)(2008),279-290. 24.YaliYe,XiangfengPANandHuiqingLIU,OrderingunicyclicgraphswithrespecttoHosoyaindicesandMerrifield-Simmonsindices,MATCHCommun.Mathe.Comput.Chem.59(2008),191-202. 25.HuiqingLIUandXiangfengPAN,OntheWienerindexoftreeswithfixeddiameter,MATCHCommun.Mathe.Comput.Chem.60(1)(2008),85-94. 26.HuiqingLIUandMeiLU,Onthespectralradiusofquasi-treegraphs,LinearAlgebraanditsApplications428(2008),2708-2714. 27.HuiqingLIU,ZhengYANandHeguoLIU,Extremalchemical(n,m,k)-graphswithmaximumRandicindex,MATCHCommun.Mathe.Comput.Chem.60(2)(2008),513-522. 28.ZhengYAN,HuiqingLIUandHeguoLIU,ThemaximalMerrifield-SimmonsindicesandminimalHosoyaindicesofunicyclicgraphs,MATCHCommun.Mathe.Comput.Chem.59(1)(2008),157-170. 29.MeiLU,HuiqingLIUandFengTIAN,AnimprovedupperboundfortheLaplacianspectralradiusofgraphs,DiscreteMathematics309(2009),6318-6321. 30.HuiqingLIUandMeiLU,BoundsfortheLaplacianspectralradiusofgraphs,LinearandMultilinearAlgebra58(1)2010,113-119.(SCI,0.74) 31.HuiqingLIU,MeiLUandZhangShunZhe,Onthe(Laplacian)spectralradiusofunicyclicgraphswithgirthgandkpendantvertices(inChinese),SciSinMath,40(10)(2010),1017-1024. 32.XiaoyingWuandHuiqingLIU,OntheWienerindexofgraphs,ActaApplicandaeMathematicae,110(2010),535-544. 33.YapingWUandHuiqingLIU,Lexicographicalorderingbyspectralmomentsoftreeswithaprescribeddiameter,LinearAlgebraanditsApplications,433(2010),1707–1713. 34.MeiLUandHuiqingLIU,Panconnectivityforinterconnectionnetworkswithfaultyelements,ActaMathematicaSinica,EnglishSeries,26(4)2010,647–652. 35.HuiqingLIUandMeiLU,Diameterandeigenvalues,ActaMathematicaSinica,EnglishSeries,27(6)(2011),1107-1114. 36.YiHONG,HuiqingLIUandXiaoyingWU,OntheWienerindexofunicyclicgraphs,HacettepeJournalofMathematicsandStatistics,40(1)(2011),63-68. 37.XiaolanHuandHuiqingLIU,NewupperboundsfortheHuckelenergyofgraphs,MATCHCommun.Mathe.Comput.Chem.,66(3)(2011),863-878. 38.Xiang-FengPAN,HuiqingLIUandMeimeiLIU,Sharpboundsonthezeroth-ordergeneralRandićindexofunicyclicgraphswithgivendiameter,AppliedMathematicsLetters,24(5)(2011),687-691. 39.Xiang-FengPAN,XiaolanHU,XiuguoLIUandHuiqingLIU,Thespectralmomentoftreeswithgivenmaximumdegree,AppliedMathematicsLetters24(2011),1265-1268. 40.HuiqingLIUandMeiLU,Aunifiedapproachtoextremaltreeswithoutperfectmatchingfordifferentindices,ArsCombinatoria103(2012),505-518. 41.Xiang-FengPAN,XiuguoLIUandHuiqingLIU,Onthespectralmomentofquasi-trees,LinearAlgebraanditsApplications436(5)(2012),927–934. 42.MeiLU,HuiqingLIUandFengTIAN,SpectralradiusandHamiltoniongraphs,LinearAlgebraanditsApplications437(2012),1670-1674. 43.XiaolanHUandHuiqingLIU,The(conditional)matchingpreclusionforburntpancakegraphs,DiscreteAppliedMathematics,161(10-11)(2013),1481-1489. 44.HuiqingLIU,MeiLUandShunzheZhang,Aconjectureon3-vertex-criticalgraphs(inChinese),SciSinMath,2013,43(5):521-528. 45.HuiqingLIU,MeiLUandFengTIAN,Edge-connectivityand(signless)Laplacianeigenvalueofgraphs,LinearAlgebraanditsApplications439(12)(2013),3777-3784. 46.HuiqingLIUandMeiLU,BoundsofsignlessLaplacianspectrumofgraphsbasedonthek-dominationnumber,LinearAlgebraanditsApplications440(2014),83–89. 47.XiaolanHu,HuiqingLIUandXiangFengPan,Fault-freeHamiltoncyclesinburntpancakegraphswithconditionaledgefaults,DiscreteAppliedMathematics169(2014),152-161. 48.HuiqingLIUandMeiLU,AconjectureonthediameterandsiglessLaplacianindexofgraphs,LinearAlgebraanditsApplications450(2014),158–174. 49.GuantaoCHEN,MFerrara,ZhiquanHU,MJacobsonandHuiqingLIU,Degreeconditionsforspanningbrooms,JournalofGraphTheory77(3)(2014),237-250. 50.ShanGAOandHuiqingLIU,SharpboundsonthesignlessLaplacianEstradaindexofgraphs,FILOMAT28(10)(2014),1983–1988. 51.HongyanCAI,HuiqingLIUandMeiLu,Fault-tolerantmaximallocal-connectivityonBubble-sortstargraphs,DiscreteAppliedMathematics181(2015),33-40. 52.QinWEN,QinZHAOandHuiqingLIU,TheleastsignlessLaplacianeigenvalueofnon-bipartitegraphswithgivenstabilitynumber,LinearAlgebraanditsApplications476(2015),148-158. 53.HuiqingLIU,MeiLUandShunzheZHANG,OnthesignlessLaplacianindexandradiusofgraphs,LinearAlgebraanditsApplications,519(2017),327-342. 54.ShunzheZHANG,QinZHAOandHuiqingLIU,Thealgebraicconnectivityofgraphswithgivenstabilitynumbers,ElectronicJournalofLinearAlgebra,32(2017)184-190. 55.HuiqingLIUandMeiLU,BoundsontheindependencenumberandsignlessLaplacianindexofgraphs,LinearAlgebraanditsApplications,539(2018),44-59. 56.HuiqingLIU,XiaolanHUandShanGAO,Theg-goodneighborconditionaldiagnosabilityoftwistedhypercubesunderthePMCandMM*model,AppliedMathematicsandComputation,332(2018),484–492.

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