张和平
职称:教授
研究所:运筹与控制研究所
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电子邮件:zhanghp@lzu.edu.cn
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学习经历
工作经历
教学及指导研究生情况
发表论文及专著
项目成果
荣誉、获奖
社会工作
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兰州大学数学与统计学院 教授 张和平研究方向图论及其应用（图的匹配理论，化学图论，计算机网络）
个人简历1985年兰州大学数学专业本科毕业， 1994年四川大学应用数学专业博士研究生毕业，获理学博士学位。1999年任兰州大学教授，2001年任博士生导师，2014年12月起任二级教授。2001年获教育部“第三届高校青年教师奖”，2002年获国务院颁发的政府特殊津贴，2002入选甘肃省“555创新人才工程”第一层次人选，2003年获兰州大学“师德标兵”称号，并获宝钢优秀教师奖。2009年入选甘肃省领军人才（第二层次），2014年6月当选国际数学化学科学院院士（Member of the International Academy of Mathematical Chemistry）。主要从事图的匹配理论、化学图论和计算机网络的研究，发表了一百余篇SCI收录学术论文，承担国家自然科学基金5项（包括重点项目“应用图论”）。十余年来，培养28位研究生毕业获得博士学位，40余位获得硕士学位。曾任甘肃省数学会理事长（2006-2013），兰州大学数学与统计学院院长(2006-2012)，中国数学会常务理事（2011-2015）。现任兰州大学学术委员会委员，中国组合数学与图论学会常务理事，中国运筹学会组合数学与图论学会副理事长，任美国《数学评论》和德国《数学文摘》评论员。曾在香港浸会大学，法国巴黎南大学，澳大利亚Newcastle大学，美国中田纳西州立大学，台湾中研院数学所等学术访问。
教学及指导学生情况
发表论文及专著Selected Publications?[1] Xiangqian Zhou, Heping Zhang, A minimax result for perfect matchings of a polyomino graph, Discrete Applied Mathematics 206 (2016), 165–171.[2] Shuang Zhao, Heping Zhang, Forcing polynomials of benzenoid parallelogram and its related benzenoids, Applied Mathematics and Computation 284 (2016), 209–218.[3] Heping Zhang, Wuyang sun, 3-Factor-criticality of vertex-transitive graphs, Journal of Graph Theory 81 (2016), ?262-271.[4] Tingzeng Wu, Heping Zhang, Per-spectral and adjacency spectral characterizations of a complete graph removing six edges, Discrete Applied Mathematics 203 (2016), 158–170.[5] Weisheng Zhao, Heping Zhang, The bondage number of the strong product of a complete graph with a path and a special starlike tree, Discrete Mathematics, Algorithms and Applications 8 (2016), no. 1, **, 14 pp.[6] Hongchuan Lei, Yeong-Nan Yeh, Heping Zhang, Anti-forcing numbers of perfect matchings of graphs, Discrete Applied Mathematics 202 (2016), 95–105[7] Yang Gao, Qiuli Li, Heping Zhang, Fullerenes with the maximum Clar number, Discrete Applied Mathematics 202 (2016), 58–69.[8] Xiaoyan Jiang, Heping Zhang, The maximum forcing number of cylindrical grid, toroidal 4–8 lattice and Klein bottle 4–8 lattice, Journal of Mathematical Chemistry 54 (2016), 18–32.[9] Fan Wang, Heping Zhang, Small matchings extend to Hamiltonian cycles in hypercubes, Graphs and Combinatorics 32 (2016), 363–376.[10] Jianxin Wei, Heping Zhang, Proofs of two conjectures on generalized Fibonacci cubes, European Journal of Combinatorics 51 (2016), 419–432.[11] Qin Yang, Heping Zhang, Yuqing Lin, On the anti-forcing number of fullerene graphs, MATCH Communications in Mathematical and in Computer Chemistry 74 (2015), 673–692.[12] Tingzeng Wu, Heping Zhang, Some analytical properties of the permanental polynomial of a graph, Ars Combinatoria 123 (2015), 261–267.[13] R. E. L. Aldred, Qiuli Li, Michael D. Plummer, Dong Ye, Heping Zhang, Matching extension in toroidal quadrangulations II: the 3-extendable case, The Australasian Journal of Combinatorics 63 (2015), 268–295.[14] Wei Li, Heping Zhang, On the permanental polynomials of matrices, Bulletin of the Malaysian Mathematical Sciences Society 38 (2015), 1361–1374.[15] Xiangqian Zhou, Heping Zhang, Clar sets and maximum forcing numbers of hexagonal systems, MATCH Communications in Mathematical and in Computer Chemistry 74 (2015), 161–174.[16] Tingzeng Wu, Heping Zhang, Per-spectral characterizations of graphs with extremal per-nullity, Linear Algebra and its Applications 484 (2015), 13–26.[17] Heping Zhang, Shuang Zhao, Ruizhi Lin, The forcing polynomial of catacondensed hexagonal systems, MATCH Communications in Mathematical and in Computer Chemistry 73 (2015), 473–490.[18] Heping Zhang, Kai Deng, Spectrum of matching forcing numbers of a hexagonal system with a forcing edge, MATCH Communications in Mathematical and in Computer Chemistry 73 (2015), 457–471.[19] Rui Yang, Heping Zhang, 2-resonant fullerenes, European Journal of Combinatorics 49 (2015), 13–24.[20] Fan Wang. Heping Zhang, Two types of matchings extend to Hamiltonian cycles in hypercubes, Ars Combinatoria 118 (2015), 269–283.[21] Shou-Jun Xu, Heping Zhang; Jinzhuan Cai, Complete forcing numbers of catacondensed hexagonal systems, Journal of Combinatorial Optimization 29 (2015), 803–814.[22] Fan Wang, Heping Zhang, Matchings extend to Hamiltonian cycles in k-ary n-cubes, Information science 305 (2015), 1–13.[23] Weisheng Zhao, Heping Zhang, Bondage number of strong product of two paths, Frontiers of Mathematics in China 10 (2015), 435–460.[24] Haiyuan Yao, Heping Zhang, Non-matchable distributive lattices, Discrete Mathematics 338 (2015), 122–132.[25] Jianxin Wei, Heping Zhang, Solution to a conjecture on words that are bad and 2-isometric, Theoretical Computer Science 562 (2015), 243–251.[26] Heping Zhang, Tingzeng Wu; Hong-Jian Lai, Per-spectral haracterizations of some edge-deleted subgraphs of a complete graph, Linear Multilinear Algebra 63 (2015), 397–410.[27] Dong Ye, Heping Zhang, Face-width of Pfaffian braces and polyhex graphs on surfaces, The Electronic Journal of Combinatorics ?21(4) (2014), #P4.37.[28] Yang Gao, Heping Zhang, The Clar number of fullerenes on surfaces, MATCH Communications in Mathematical and in Computer Chemistry 72 (2014), no. 2, 411–426.[29] Xiao-Sheng Cheng, Heping Zhang, Xian'an Jin, Wen-Yuan Qiu, Ear decomposition of 3-regular polyhedral links with applications, Journal of Theoretical Biology 359 (2014), 146–154.[30] Qiuli Li, Heping Zhang, 5-factor-critical graphs on the torus. Ars Combinatoria 115 (2014), 357–366.[31] Jianxin Wei, Heping Zhang, Fibonacci (p,r)-cubes which are partial cubes, Ars Combinatoria 115 (2014), 197–209.[32] WuYang Sun, Heping Zhang, Super s-restricted edge-connectivity of vertex-transitive graphs, Science China Mathematics 57 (2014), 1883–1890.[33] Shunyi Liu, Heping Zhang, Characterizing properties of permanental polynomials of lollipop graphs, Linear Multilinear Algebra 62 (2014), 419–444.[34] Heping Zhang, Shunyi Liu, Wei Li, A note on the permanental roots of bipartite graphs, Discussiones Mathematicae Graph Theory 34 (2014), 49–56.[35] Heping Zhang, Dewu Yang, Haiyuan Yao, Decomposition theorem on matchable distributive lattices, Discrete Applied Mathematics 166 (2014) 239-248[36] Heping Zhang, Jinzhuan Cai, On the global forcing number of hexagonal systems, Discrete Applied Mathematics 162 (2014) 334-347.[37] Rui Yang, Heping Zhang, Every extremal fullerene graph with no less than 60 vertices is 2-resonant, MATCH Communications in Mathematical and in Computer Chemistry 71 (2014) 99-114.[38] Fan Wang, Heping Zhang, Prescribed matchings extend to Hamiltonian cycles in hypercubes with faulty edges, Discrete Mathematics 321 (2014) 35-44.[39] R.E.L. Aldred, Qiuli Li, M.D. Plummer, Heping Zhang, Matching extension in quadrangulations of the torus, The Australasian Journal of Combinatorics ?57 (2013) 217-233.[40] Guangfu Wang, Heping Zhang, ?1-embeddability under edge-gluing operation of graphs, Discrete Mathematics 313 (2013) 2115--2118.[41] Heping Zhang, Wai Chee Shiu, Pak Kiu Sun, A Relation between Clar Covering Polynomial and Cube Polynomial, MATCH Communications in Mathematical and in Computer Chemistry 70 (2013) 477-492.[42] Jinzhuan Cai, Heping Zhang, On the Anti-Kekulé Number of a Hexagonal System, MATCH Communications in Mathematical and in Computer Chemistry 69 (3) (2013)733-754.[43] Shunyi Liu, Heping Zhang, On the characterizing properties of the permanental polynomial of graphs, Linear Algebra and its Applications 438 (1) (2013) 157-172.[44] Lifeng Ou, Heping Zhang, Fibonacci (p, r)-cubes which are median graphs, Discrete Applied Mathematics 161(3) (2013) 441-444.[45] Li Shang, Heping Zhang, Super restricted edge-connectivity of graphs with diameter 2, Discrete Appl. Math. 161 (2013) 445-451.[46] Shuya Liu, Heping Zhang, Some Invariants of Polyhedral Links, MATCH Communications in Mathematical and in Computer Chemistry 70 (2013) ?383-400.[47] Heping Zhang, Wei Li, Shunyi Liu, A note on the permanental roots of bipartite graphs, Discussiones Mathematicae Graph Theory 57 (2013) 217-233.[48] Shuya Liu, Heping Zhang, The HOMFLY Polynomials of Odd Polyhedral Links, Journal of Mathematical Chemistry 51 (5) (2013) 1310-1328.[49] Qiuli Li, Heping Zhang, On the restricted matching extension of graphs in surfaces, Applied Mathematics Letters 25(11) (2012) 1750-1754.[50] Wei Li, Heping Zhang, Dimers statistics of honeycomb lattices on Klein bottle, M?bius strip and cylinder, Physica A 391 (2012) 3833-3848.[51] Wei Li, Heping Zhang, The permanental polynomials of certain graphs, MATCH Commun. Math. Comput. Chem. 68 (3) (2012) 871-888.[52] Qiuli Li, Heping Zhang, Restricted matching extension of graphs on the torus and the Klein bottle, Discrete Mathematics 312 (2012) 2450-2456.[53] Shuya Liu, Heping Zhang, Genera of the Links Derived from 2-Connected Plane Graphs, Journal of Knot Theory and Its Ramifications 21 (14) (2012) ** (14 pages).[54] Heping Zhang, Wei Li, Computing the permanental polynomials of bipartite graphs by Pfaffian orientation, Discrete Applied Mathematics 160 (2012) 2069-2074.[55] Huazhong Lü, Xianyue Li, Heping Zhang, Matching preclusion for balanced hypercubes, Theoretical Computer Science 465 (2012) 10-20.[56] Shuya Liu, Heping Zhang, Wenyuan Qiu, ?The HOMFLY polynomial for a family of polyhedral links, MATCH Commun. Math. Comput. Chem. 67(1) (2012) 65-90.[57] Qin Yang, Dong Ye, Heping Zhang, Yuqing Lin, On the anti-Kekulé number of fullerenes, MATCH Commun. Math. Comput. Chem. 67(2) (2012) 281-288.[58] Jinzhuan Cai, Heping Zhang, Global forcing number of some chemical graphs, MATCH Commun. Math. Comput. Chem. 67(2) (2012) 289-31.[59] Rui Yang and Heping Zhang, Hexagonal resonance of (3,6)-fullerenes, Journal of Mathematical Chemistry 50 (1) (2012) 261-273.[60] Qiuli Li, Saihua Liu, Heping Zhang, 2-extendability and k-resonance of non-bipartite Klein-bottle polyhexes, Discrete Applied Mathematics 159 (2011) 800-811.[61] Lifeng Ou, Heping Zhang, Haiyuan Yao, Determining which Fibonacci (p, r)-cubes can be Z-transformation graphs, Discrete Mathematics 311 (2011) 1681-1692.[62] Ling Wang, Heping Zhang, On diameter stability of the Johnson graph, Ars Combinatoria 100 (2011) 327-335.[63] Guangfu Wang, Heping Zhang, l1-embeddability of hexagonal and quadrilateral Mobius graphs, Ars Combinatoria 102 (2011) 269-287.[64] Yujun Yang, Heping Zhang, Douglas J. Klein, New Nordhaus-Gaddum-type results for the Kirchhoff index, Journal of Mathematical Chemistry 49 (8) (2011) 1587-1598.[65] Xiaoyan Jiang, Heping Zhang, On forcing matching number of boron-nitrogen fullerene graphs, Discrete Applied Mathematics 159 (15) (2011) 1581-1593.[66] Fuji Zhang, Xiaofeng Guo, Heping Zhang, Advances of Clar's Aromatic Sextet Theory and Randi?'s Conjugated Circuit Model, The Open Organic Chemistry Journal 5 (2011) ?(Suppl 1-M6) 87-111.[67] Heping Zhang, Shan Zhou, A note on path factors in claw-free graphs, Ars Combinatoria 97 (2010) 87-95.[68] Heping Zhang, Naidan Ji and Haiyuan Yao, Transfer-matrix Calculation of the Clar Covering Polynomial of Hexagonal Systems, MATCH Commun. Math. Comput. Chem. ?63 (2) (2010) 379-392.[69] Xianyue Li, Heping Zhang, Embedding on Alphabet Overlap Digraphs, Journal of Mathematical Chemistry 47 (2010) 62-71.[70] Saihua Liu, Heping Zhang, PI index of toroidal polyhexes, MATCH Commun. Math. Comput. Chem. 63 (1) (2010) 217-238.[71] Jingzhi Yan, Heping Zhang, Bounds on path-matching number, Arabian Journal for Science and Engineering 35 (2010) 145-152.[72] Li Shang and Heping Zhang, A general sufficient condition for a graph G with ?, Science in China, Series A: Mathematics 52(11) (2009) 1-7 (Chinese); 53 (4) (2010) 1039-1044 (English).[73] Heping Zhang, Direct sum of distributive lattices on the perfect matchings ?of a plane bipartite graph, Order 27 (2) (2010) 101-113.[74] Wantao Ning, Qiuli Li, Heping Zhang, Smallest generalized cuts and diameter-increasing sets of Johnson graphs, Ars Combinatoria ?95 (2010) 353-362.[75] Heping Zhang, Dong Ye, Wai Chee Shiu, Forcing matching numbers of fullerene graphs, Discrete Applied Mathematics 158 (2010) 573-582.[76] Xiao-Sheng Cheng, Shu-Ya Liu, Heping Zhang, Wen-Yuan Qiu, Fabrication of a family of pyramidal links and their genus, MATCH Commun. Math. Comput. Chem. ? 63(3) (2010) 623-636[77] Heping Zhang, Guangfu Wang, Embeddability of open-ended carbon nanotubes in hypercubes, Computational Geometry: Theory and Applications 43 (2010) 524-534.[78] Haiyuan Yao, Guang Hu, Heping Zhang, Wen-Yuan Qiu, The Construction of 4-Regular Polyhedra Containing Triangles, Quadrilaterals and Pentagons, MATCH Commun. Math. Comput. Chem. 64 (2) (2010) 345-358.[79] Heping Zhang, Dong Ye, ?Yunrui Liu, A combination of Clar number and Kekulé count as an indicator of relative stability of fullerene isomers of C60, Journal of Mathematical Chemistry 48 (3) (2010) 733-740.[80] Shu-Ya Liu, Xiao-Sheng Cheng, Heping Zhang, Wen-yuan Qiu, The architecture of polyhedral links and their HOMFLY polynomials, Journal of Mathematical Chemistry 48 (2) (2010) 439-456.[81] Xiao-Sheng Cheng, Heping Zhang, Guang Hu, Weny-uan Qiu, The architecture and Jones polynomials of cycle-crossover polyhedral links, MATCH Commun. Math. Comput. Chem. 63(3) (2010) 637-656.[82] Xioaling Zhang, Heping Zhang, Some results on Laplacian spectral radius of graphs with cut vertices, Discrete Mathematics ?310 (24) (2010) 3494-3505.[83] Heping Zhang, Saihua Liu, 2-resonance of plane bipartite graphs and its applications to boron-nitrogen fullerenes, Discrete Applied Mathematics 158 (14) (2010) 1559-1569.[84] Saihua Liu, Heping Zhang, Maximally resonant polygonal systems, Discrete Mathematics 310 (21) (2010) 2790-2800.[85] Wai Chee Shiu, Heping Zhang, Saihua Liu, Maximal resonance of cubic bipartite polyhedral graphs, Journal of Mathematical Chemistry ? 48 (3) (2010) 676-686.[86] Heping Zhang, Lifeng Ou, Haiyuan Yao, Fibonacci-like cubes as Z-transformation graphs, Discrete Mathematics 309(6) (2009) 1284-1293.[87] Dong Ye, Heping Zhang, On the 2-extendability of toroidal polyhexes and Klein-bottle polyhexes, Discrete Applied Mathematics 157(2) (2009) 292-299.[88] Heping Zhang, Xiaoyan Jiang, Yujun Yang, Bicyclic graphs with extremal Kirchhoff index, MATCH Commun. Math. Comput. Chem. 61 (2009) 697-712.[89] Shoujun Xu, Heping Zhang, Hosoya polynomials of TUC4C8(S) nanotubes, J. Math. Chem. 45 (2009) 488--502.[90] Heping Zhang, Shan Zhou, Characterizations for ?-factor and ?-covered graphs, Discrete Mathematics 309 (8) (2009) 2067-2076.[91] Heping Zhang, Yujun Yang, Chuanwen Li, Kirchhoff index of composite graphs, Discrete Applied Mathematics 157 (2009) 2918-2927.[92] Xiaoling Zhang and Heping Zhang, The Laplacian Spectral radius of unicyclic graphs with k pendent vertices, Ars Combinatoria 90 (2009) 345-355.[93] Jianfu Chen, Shoujun Xu, Heping Zhang, Hosoya polynomials of TUC4C8(R) nanotubes, International Journal of Quantum Chemistry ?109(4) (2009) 641-649.[94] Jingzhi Yan, Heping Zhang, A note on path-matchings, Ars Combinatoria 90 (2009) 25-236.[95] Dong Ye, Zhongbin Qi, Heping Zhang, On k-resonant fullerene graphs, SIAM J. Discrete Math. 23(2) (2009) 1023-1044.[96] Shan Zhou, Heping Zhang, Minimal 2-matching covered graphs, Discrete Mathematics 309(13) (2009) 4270-4279.[97] Li Shang and Heping Zhang, Degree conditions for graphs to be λ3- optimal and super-λ3, Discrete Mathematics 309 (10) (2009) 3336-3345.[98] Xiaosheng Chen, Wenyuan Qiu and Heping Zhang, A novel molecular design of polyhedral links and their chiral analysis, MATCH Commun. Math. Comput. Chem. 62(1) (2009) 115-130.[99] Dong Ye, ?Heping Zhang, Extremal fullerene graphs with the maximum Clar number, Discrete Applied Mathematics ?157(14) (2009) 3152-3173.[100] Xiaoling Zhang and Heping Zhang, Some graphs determined by their spectra, Linear Algebra and its Application 431 (2009) 1443 -1454.[101] Wai Chee Shiu and Heping Zhang, A complete characterization for k-resonan Klein-bottle polyhexes, J. Math. Chem. 43(1) (2008) 45-59.[102] Zhongbin Qi and Heping Zhang, A note on the cyclical edge-connectivity of fullerene graphs, J. Math. Chem. ?43 (1) (2008) 134-140.[103] Hongwei Wang, Dong Ye and Heping Zhang, The forcing number of toroidal polyhexes, J. Math. Chem. 43 (2008) 457-475.[104] Shoujun Xu, Heping Zhang, Generalized Hosoya polynomials of hexagonal chains, J. Math. Chem. 43 (2008) 852-863.[105] Shan Zhou, Heping Zhang, Ivan Gutman, Relations between Clar structures, Clar covers, and the sextet-rotation-tree of a hexagonal system, Discrete Applied Mathematics 156 (10) (2008) 1809-1821.[106] Shoujun Xu, Heping Zhang, Hosoya polynomials under gated amalgamations, Discrete Applied Mathematics 156(12) (2008) 2407-2419.[107] Heping Zhang, Dong Ye, k-resonant toroidal polyhexes, J. Math. Chem. 44 (1) (2008) 270-285.[108] Yujun Yang, Heping Zhang, Kirchhoff index of linear hexagonal chains, International Journal of Quantum Chemistry 108 (2008) 503-512.[109] Xiaoling Zhang, Heping Zhang, The Laplacian spectral radius of some bipartite graphs, Linear Algebra and its Application 428(7) (2008) 1610-1619.[110] Heping Zhang, Shoujun Xu, None of the coronoid systems can be isometrically embedded into a hypercube, Discrete Applied Mathematics 156 (2008) 2817-2822.[111] Shoujun Xu, Heping Zhang, The Hosoya polynomial decomposition for catacondensed benzenoid graphs, Discrete Applied Mathematics 156 (15) (2008) 2930-2938.[112] Xia Li, Hao Li, Heping Zhang, Path-comprehensive and vertex-pancyclic properties of super line graph L2(G), Discrete Mathematics 308 (2008) 6308-6315.[113] Shoujun Xu and Heping Zhang, The Hosoya polynomial decomposition for hexagonal chains, Mathematical and Computer Modelling 48 (3-4) (2008) 601-609.[114] Hao Li, Huifang Miao, Li Liu, Lian Li and Heping Zhang, Energy conservation in wireless sensor networks and connectivity of graphs, Theoretical Computer Science ?393 (1-3) (2008) 81-89.[115] Heping Zhang, Peter Che Bor Lam, Wai Chee Shiu, Resonance graphs and a binary coding for the 1-factors of benzenoid systems, SIAM J. Discrete Math. 22 (3) (2008) 971-984.[116] Yujun Yang, Heping Zhang, Some rules on resistance distance with applications, Journal of Physics A: Mathematical and Theoretical 41(44) (2008) 445203.[117] Heping Zhang, Haiyuan Yao, Dewu Yang, A min-max result on outerplane bipartite graphs, Appl. Math. Lett. 20(2) (2007) 199-205.[118] Shoujun Xu, Heping Zhang, M.V. Diudea, Hosoya polynomials of zig-zag open-ended nanotubes, MATCH Commun. Math. Comput. Chem. 57 (2) (2007) 443-456.[119] Heping Zhang, Yujun Yang, Resistance distance and Kirchhoff index in circulant graphs, International Journal of Quantum Chemistry 107(2) (2007) 330-339.[120] Shoujun Xu, Heping Zhang, Hosoya polynomials of armchair open-ended nanotubes, International Journal of Quantum Chemistry 107(3) (2007) 586-596.[121] Xianyue Li and Heping Zhang, Characterizations for some types of DNA graphs, J. Math. Chem. ? 42(1) (2007) 65-79.[122] Heping Zhang and ?Dong Ye, An upper bound for the Clar Number of fullerene graphs, J. Math. Chem. ?41 (2) (2007) 123-133.[123] Heping Zhang, Regular Coronoids and Ear Decompositions of Plane Elementary Bipartite Graphs, in: Discrete Geometry, Combinatorics and Graph Theory, the proceedings of CJCDGCGT2005, Lecture Notes in Computer Science, Vol. 4381, ?2007, pp. 259-271, Springer.[124] Li Shang and Heping Zhang, Sufficient conditions for graphs to beλ'- ? optimal and super-λ', Networks 49(3) (2007) 234-242.[125] Heping Zhang, Guangfu Wang, A characterization for ?the ?interval distance monotone graphs, Discrete Math. 307(21) (2007) 2622-2627.[126] Fuji Zhang, Heping Zhang, Construction for bicritical graphs and k-extendable bipartite graphs, Discrete Math. 306(13) (2006) 1415- 1423.[127] Heping Zhang, Shoujun Xu, Yujun Yang, Wiener index of toroidal polyhexes, MATCH Commun. Math. Comput. Chem. 56(1) (2006) 153-168.[128] Heping Zhang, Z-Transformation graphs of perfect matchings of plane bipartite graphs: a Survey, MATCH Commun. Math. Comput. Chem. 56(3) (2006) 457-476.[129] Wai-Chee Shiu, Peter C.B. Lam and Heping Zhang, k-resonance in toroidal polyhexes, J. Math. Chem. 38(4) (2005) 471-486.[130] Heping Zhang, Jinghua He, A comparison between 1-factor count and resonant pattern count in plane non-bipartite graphs, J. Math. Chem. 38(3) (2005) 315-324.[131] Jia Shen and Heping Zhang, k-factor-covered regular graphs, Ars Combinatoria 75 (2005) 121-127.[132] Heping Zhang, Rijun Zha, Haiyuan Yao, ?Z-transformation graphs of maximum ?matchings of plane bipartite graphs, ?Discrete Appl. Math. 134 (2004) 339-350.[133] Heping Zhang, Fuji Zhang, Haiyuan Yao, ?Z-transformation graphs of perfect ?matchings of plane bipartite graphs, ?Discrete ?Math. ?276 (2004) 393-404.[134] Heping Zhang, Linbo Zhao, Haiyuan Yao, The Z-transformation graph for an outerplane bipartite graph has a Hamilton path, Appl. Math. Lett. 17/8 (2004) 897-901.[135] Peter C.B. Lam, Wai-Chee Shiu and Heping Zhang, Elementary ?blocks of plane bipartite graphs, MATCH Commun. Math. Comput. Chem. 49 (2003) 127-137.[136] Wai-Chee Shiu, Peter C.B. Lam and Heping Zhang, Clar and sextet polynomials of buckminsterfullerene, J. Mol. Struct.(THEOCHEM) 622 (2003) 239-248.[137] Heping Zhang, Peter C.B. Lam, Wai-Chee Shiu, Cell rotation graphs of strongly connected orientations of plane graphs with an application, Discrete Appl. Math. 130/3 (2003) 469-485.[138] Peter C.B. Lam and Heping Zhang, A distributive lattice on the set of perfect matchings of a plane bipartite graph, Order 20 (2003) 13-29.[139] Wai-Chee Shiu, Peter C.B. Lam, Fuji Zhang and Heping Zhang, Normal components, Kekulé structures, and Clar patterns in ?plane bipartite graphs, J. Math. Chem. 31(4) (2002) 405-420.[140] Heping Zhang, Fuji Zhang, New lower bound on the number of perfect matchings of fullerene graphs, J. Math. Chem. 30(3) (2001) 343-347.[141] Heping Zhang, Fuji Zhang, Plane elementary bipartite graphs, Discrete Appl. Math. 105 (2000) 291-311.[142] Heping Zhang, Fuji Zhang, The Clar covering polynomial of hexagonal systems III, Discrete Math. 212(3) (2000) 261-269.[143] Heping Zhang, Fuji Zhang, Block graphs of Z-transformation graphs of perfect matchings of plane ?elementary ?bipartite ?graphs, ? Ars ?Combinatoria 53 (1999) 309-314.[144] Heping Zhang, Fuji Zhang, The rotation graphs of perfect matchings of plane bipartite graphs, Discrete Appl. Math. 73 (1997) 5-12.[145] Heping Zhang, Fuji Zhang, Perfect matchings of ?polyomimo ?graphs, Graphs Combin. 13 (1997) 295-304.[146] Heping Zhang, The Clar covering polynomial of hexagonal systems ? with an application to chromatic polynomials, Discrete Math. 172 (1997) 163-173.[147] Fuji Zhang, Heping Zhang, A note on the number of perfect matchings of bipartite graphs, Discrete Appl. Math. 73 (1997) 275-282.?[148] Heping Zhang, Fuji Zhang, The Clar covering polynomial of hexagonal systems I, Discrete Appl. Math. 69 (1996) 147-167.[149] Fuji Zhang, Heping Zhang, Yuting Liu, The Clar covering ?polynomial of hexagonal systems II. An application to resonance energy of condensed aromatic hydrocarbons, Chinese J. Chemistry 14(4) (1996) 321-325.[150] Heping Zhang, The connectivity of Z-transformation graphs of perfect matchings of polyominoes, Discrete Math. 158 (1996) 257-272[151] Xueliang Li, Heping Zhang, A solution to Gutman's ?problem ?on ?the characteristic polynomial of a bipartite graph, Discrete Math. 154 (1996) 297-300.[152] Heping Zhang, The Clar formula of regular t-tier strip benzenoid systems, System Sci. and Math. Sci. 8(4) (1995) 327-337.[153] Fuji Zhang and Heping Zhang, A new enumeration method for Kekulé structures of hexagonal ? systems with forcing edges, J. Mol. Struct. (Theochem) 331 (1995) 255-260.[154] Fuji Zhang, Xueliang Li and Heping Zhang, Hexagonal systems with ? fixed bonds, Discrete Appl. Math. 47 (1993) 285-296.[155] Heping Zhang, The Clar covering polynomial of S,T-ismers, MATCH 29 (1993) 189-197.[156] I. Gutman, Xueliang Li, Heping Zhang, On a formula involving the first derivative of the characteristic polynomial of a graph, Univ. Beograd Publ. Fuek. Fuk, Ser Math. 4 (1993) 93-98.
项目成果国家自然科学基金青年项目： 图与随机图中的匹配（1998.1-2000.12）国家自然科学基金面上项目：曲面嵌入图匹配集上的代数与组合结构（2001.1-2003.12）国家自然科学基金面上项目：图的匹配、分配格与等距离嵌入（2005.1-2007.12）国家自然科学基金重点项目：应用图论（2009.1-2012.12）教育部高校优秀青年教师教学和科研奖励计划 ( 2002.1-2006.12）国家自然科学基金面上项目：若干网络的拓扑结构特征,高阶限制边连通度和容错连通控制集(2011.1- 2013.12)国家自然科学基金面上项目：图的匹配强迫与匹配阻碍问题研究(2014.1- 2017.12)
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作者:张和平