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张和平

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, 1650006, 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, ℓ1-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, Möbius 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) 1250129 (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 Randić'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)
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作者:张和平