应用图论

10831001
2008
A0409.图论及其应用
张和平
重点项目
教授
兰州大学
135万元
图论;Fullerene图;共振理论;DNA序列;拓扑指标
2009-01-01到2012-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 On plane graphs with link component number equal to the nullity 期刊论文 Lin, Yuefeng|Noble, S. D.|Jin, Xian'an|Cheng, Wenfang|
2 THE MAXIMUM AND MINIMUM DEGREES OF RANDOM BIPARTITE MULTIGRAPHS 期刊论文 Chen Ailian|Zhang Fuji|Li Hao|
3 Computing the permanental polynomials of bipartite graphs by Pfaffian orientation 期刊论文 Zhang, Heping|Li, Wei|
4 Removable Edges in Cycles of a k-Connected Graph 期刊论文 Xu, Li Qiong|Guo, Xiao Feng|
5 Embedding on alphabet overlap digraphs 期刊论文 Li, Xianyue|Zhang, Heping|
6 Contractible edges of k-connected graphs for k=4, 5 期刊论文 Qin, Chengfu|Guo, Xiaofeng|
7 The Construction of 4-Regular Polyhedra Containing Triangles, Quadrilaterals and Pentagons 期刊论文 Yao, Haiyuan|Hu, Guang|Zhang, Heping|Qiu, Wen-Yuan|
8 Randic Index, Diameter and Average Distance 期刊论文 Li, Xueliang|Shi, Yontang|
9 On Vertex-Distinguishing Proper Edge Colorings of Graphs Satisfying the Ore Condition 期刊论文 Chen, Meirun|Guo, Xiaofeng|
10 2-resonance of plane bipartite graphs and its applications to boron-nitrogen fullerenes 期刊论文 Zhang, Heping|Liu, Saihua|
11 The HOMFLY Polynomial for a Family of Polyhedral Links 期刊论文 Liu, Shu-Ya|Zhang, Heping|Qiu, Wen-Yuan|
12 On the location of zeros of the Homfly polynomial 期刊论文 Jin, Xian'an|Zhang, Fuji|
13 Note on Conjugated Unicyclic Graphs with Minimal Energy 期刊论文 Li, Xueliang|Li, Yiyang|
14 Zeros of the Jones Polynomial for Multiple Crossing-Twisted Links 期刊论文 Jin, Xian'an|Zhang, Fuji|
15 New Nordhaus-Gaddum-type results for the Kirchhoff index 期刊论文 Yang, Yujun|Zhang, Heping|Klein, Douglas J.|
16 A kind of conditional fault tolerance of (n, k)-star graphs 期刊论文 Yang, Weihua|Li, Hengzhe|Guo, Xiaofeng|
17 Note on Bipartite Unicyclic Graphs of Given Bipartition with Minimal Energy 期刊论文 Li, Jing|Li, Xueliang|
18 Hypoenergetic and Strongly Hypoenergetic k-Cyclic Graphs 期刊论文 Li, Xueliang|Ma, Hongping|
19 REMOVABLE EARS OF 1-EXTENDABLE GRAPHS 期刊论文 Zhai, Shaohui|Guo, Xiaofeng|
20 A Note on Path-Matchings 期刊论文 Yan, Jingzhi|Zhang, Heping|
21 Hosoya Polynomials of TUC4C8® Nanotubes 期刊论文 Jianfu Chen|Shoujun Xu|Heping Zhang|
22 Extended Goldberg polyhedral links with odd tangles 期刊论文 Hu, Guang|Qiu, Wenyuan|
23 Extremal fullerene graphs with the maximum Clar number 期刊论文 Ye, Dong|Zhang, Heping|
24 On forcing matching number of boron-nitrogen fullerene graphs 期刊论文 Jiang, Xiaoyan|Zhang, Heping|
25 Characterizations for P(>= 2)-factor and P(>= 3)-factor covered graphs 期刊论文 Zhang, Heping|Zhou, Shan|
26 Complete solution to a conjecture on Randic index 期刊论文 Li, Xueliang|Liu, Bolian|Liu, Jianxi|
27 On Triregular Graphs whose Energy Exceeds the Number of Vertices 期刊论文 Li, Shasha|Li, Xueliang|Ma, Hongping|Gutman, Ivan|
28 Determining the Conjugated Trees with the Third- through the Sixth-Minimal Energies 期刊论文 Huo, Bofeng|Li, Xueliang|Shi, Yongtang|Wang, Lusheng|
29 Minimal 2-matching-covered graphs 期刊论文 Zhou, Shan|Zhang, Heping|
30 Super-connectivity of Kronecker products of split graphs, powers of cycles, powers of paths and complete graphs 期刊论文 Guo, Litao|Yang, Weihua|Guo, Xiaofeng|
31 Enumerating the total colorings of a polyhedron and application to polyhedral links 期刊论文 Deng, Kecai|Qian, Jianguo|Zhang, Fuji|
32 On the similarity/dissimilarity of DNA sequences based on 4D graphical representation 期刊论文 Tang XiaoChan|Zhou PanPan|Qiu WenYuan|
33 On the Anti-Kekule Number of Fullerenes 期刊论文 Yang, Qin|Ye, Dong|Zhang, Heping|Lin, Yuqing|
34 On bipartite graphs with minimal energy 期刊论文 Xueliang Li|Jianbin Zhang|Lusheng Wang|
35 A novel characterization of n-extendable bipartite graphs 期刊论文 Lin, Hong|Guo, Xiaofeng|
36 l(1)-Embeddability of Hexagonal and Quadrilateral Mobius graphs 期刊论文 Wang, Guangfu|Zhang, Heping|
37 The optimal strong radius and optimal strong diameter of the Cartesian product graphs 期刊论文 Chen, Meirun|Guo, Xiaofeng|Zhai, Shaohui|
38 Super lambda(3)-optimality of regular graphs 期刊论文 Guo, Litao|Liu, Ruifang|Guo, Xiaofeng|
39 The Architecture of Sierpinski Knots 期刊论文 Duan, Jin-Wei|Zheng, Zhen|Zhou, Pan-Pan|Qiu, Wen-Yuan|
40 The Homfly Polynomial for Even Polyhedral Links 期刊论文 Jin, Xian'an|Zhang, Fuji|
41 DETERMINING THE COMPONENT NUMBER OF LINKS CORRESPONDING TO TRIANGULAR AND HONEYCOMB LATTICES 期刊论文 Jiang, Leping|Jin, Xian'an|Deng, Kecai|
42 A combination of Clar number and Kekul, count as an indicator of relative stability of fullerene isomers of C-60 期刊论文 Zhang, Heping|Ye, Dong|Liu, Yunrui|
43 Fabrication of a family of pyramidal links and their genus 期刊论文 Cheng, Xiao-Sheng|Liu, Shu-Ya|Zhang, Heping|Qiu, Wen-Yuan|
44 Super Connectivity and Super Edge Connectivity of the Mycielskian of a Graph 期刊论文 Guo, Litao|Liu, Ruifang|Guo, Xiaofeng|
45 On the restricted matching extension of graphs in surfaces 期刊论文 Li, Qiuli|Zhang, Heping|
46 Determining which Fibonacci (p, r)-cubes can be Z-transformation graphs 期刊论文 Ou, Lifeng|Zhang, Heping|Yao, Haiyuan|
47 BOUNDS ON THE PATH-MATCHING NUMBER 期刊论文 Yan, Jingzhi|Zhang, Heping|
48 The Laplacian energy of random graphs 期刊论文 Du, Wenxue|Li, Xueliang|Li, Yiyang|
49 2-extendability and k-resonance of non-bipartite Klein-bottle polyhexes 期刊论文 Li, Qiuli|Liu, Saihua|Zhang, Heping|
50 All Connected Graphs with Maximum Degree at Most 3 whose Energies are Equal to the Number of Vertices 期刊论文 Li, Xueliang|Ma, Hongping|
51 Connectivity of the Mycielskian of a digraph 期刊论文 Guo, Litao|Guo, Xiaofeng|
52 Two combinatorial operations and a knot theoretical approach for fullerene polyhedra 期刊论文 Hu, Guang|Qiu, Wen-Yuan|
53 (n,m)-Graphs with maximum zeroth-order general Randic index for alpha in (-1,0) 期刊论文 Xueliang Li|Yongtang Shi|
54 A proof of a conjecture on the Randic index of graphs with given girth 期刊论文 Li, Xueliang|Liu, Jianxi|
55 The atom-bond connectivity index of chemical unicyclic graphs 期刊论文 Jinsong Chen|Jianping Liu|Xiaofeng Guo|
56 All hypoenergetic graphs with maximum degree at most 3 期刊论文 Li, Xueliang|Ma, Hongping|
57 Advances of Clar's Aromatic Sextet Theory and Randic´'s Conjugated Circuit Model 期刊论文 Fuji zhang|Xiaofeng Guo|Heping Zhang|
58 On a Relation Between Randic Index and Algebraic Connectivity 期刊论文 Li, Xueliang|Shi, Yongtang|
59 Models of virus capsids containing 72 pentameric capsomeres 期刊论文 Lu, Dan|Zhou, Pan-Pan|Qiu, Wen-Yuan|
60 A New Euler's Formula for DNA Polyhedra 期刊论文 Hu, Guang|Qiu, Wen-Yuan|Ceulemans, Arnout|
61 Forcing matching numbers of fullerene graphs 期刊论文 Zhang, Heping|Ye, Dong|Shiu, Wai Chee|
62 Transfer-matrix Calculation of the Clar Covering Polynomial of Hexagonal Systems 期刊论文 Zhang, Heping|Ji, Naidan|Yao, Haiyuan|
63 Topological transformation of dual polyhedral links 期刊论文 Lu, Dan|Hu, Guang|Qiu, Yuan-Yuan|Qiu, Wen-Yuan|
64 Enumeration of perfect matchings of a type of quadratic lattice on the torus 期刊论文 Lu, Fuliang|Zhang, Lianzhu|Lin, Fenggen|
65 Complete solution to a conjecture on the fourth maximal energy tree 期刊论文 Bofeng Huo|Shengjin Ji|Xueliang Li|Yongtang Shi|
66 On a Relation Between Randic Index and Chromatic number 期刊论文 Li, Xueliang|Shi, Yongtang|
67 PI index of toroidal polyhexes 期刊论文 Liu, Saihua|Zhang, Heping|
68 Bounding the sum of powers of the Laplacian eigenvalues of graphs 期刊论文 Chen Xiao-dan|Qian Jian-guo|
69 Character of Trees with Extreme Balaban Index 期刊论文 Dong, Hawei|Guo, Xiaofeng|
70 The architecture and the Jones polynomial of polyhedral links 期刊论文 Jin, Xian'an|Zhang, Fuji|
71 The complexity of Platonic and Archimedean polyhedral links 期刊论文 Hu, Guang|Qiu, Wen-Yuan|Cheng, Xiao-Sheng|Liu, Shu-Ya|
72 The Braid Index of Complicated DNA Polyhedral Links 期刊论文 Cheng, Xiao-Sheng|Jin, Xian'an|
73 Maximally resonant polygonal systems 期刊论文 Liu, Saihua|Zhang, Heping|
74 Dimer coverings on random multiple chains of planar honeycomb lattices 期刊论文 Ren, Haizhen|Zhang, Fuji|Qian, Jianguo|
75 The Minimal Estrada Index of Trees with Two Maximum Degree Vertices 期刊论文 Li, Jing|Li, Xueliang|Wang, Lusheng|
76 The maximum Randic index of chemical trees with k pendants 期刊论文 Shiu, Wai Chee|Zhang, Lian-zhu|
77 Bicyclic graphs with extremal Kirchhoff index 期刊论文 Zhang, Heping|Jiang, Xiaoyan|Yang, Yujun|
78 Character of Graphs with Extremal Balaban Index 期刊论文 Dong, Hawei|Guo, Xiaofeng|
79 Note on unicyclic graphs with given number of pendent vertices and minimal energy 期刊论文 Huo, Bofeng|Ji, Shengjin|Li, Xueliang|
80 Hosoya polynomials of the capped zig-zag nanotubes 期刊论文 Lin, Xiaoxia|Guo, Xiaofeng|
81 2-extendability of toroidal polyhexes and Klein-bottle polyhexes 期刊论文 Ye, Dong|Zhang, Heping|
82 ON k-RESONANT FULLERENE GRAPHS 期刊论文 Ye, Dong|Qi, Zhongbin|Zhang, Heping|
83 Extended Goldberg polyhedral links with even tangles 期刊论文 Hu, Guang|Qiu, Wen-Yuan|
84 On the edge-connectivity of graphs with two orbits of the same size 期刊论文 Yang, Weihua|Zhang, Zhao|Guo, Xiaofeng|Cheng, Eddie|Liptak, Laszlo|
85 Degree conditions for graphs to be lambda(3)-optimal and super-lambda(3) 期刊论文 Shang, Li|Zhang, Heping|
86 A lower bound on the number of removable ears of 1-extendable graphs 期刊论文 Zhai, Shaohui|Lucchesi, Claudio L.|Guo, Xiaofeng|
87 The number of Kekule structures of polyominos on the torus 期刊论文 Lianzhu Zhang|Shouliu Wei|Fuliang Lu|
88 Note on the energy of regular graphs 期刊论文 Li, Xueliang|Li, Yiyang|Shi, Yongtang|
89 Solution to a conjecture on the maximal energy of bipartite bicyclic graphs 期刊论文 Bofeng Huo|Shengjin Ji|Xueliang Li|Yongtang Shi|
90 DNA多面体的数学与化学 专著 邱文元|汪泽|胡广|Wen Yuan Qiu|Ze Wang|Guang Hu|
91 Enumeration of spanning trees of graphs with rotational symmetry 期刊论文 Yan, Weigen|Zhang, Fuji|
92 Extreme Atom-Bond Connectivity Index of Graphs 期刊论文 Chen, Jinsong|Guo, Xiaofeng|
93 ON COMPUTING KAUFFMAN BRACKET POLYNOMIAL OF MONTESINOS LINKS 期刊论文 Jin, Xian'An|Zhang, Fuji|
94 The Architecture of DNA Sierpinski Links 期刊论文 Duan, Jin-Wei|Zheng, Zhen|Zhou, Pan-Pan|Qiu, Wen-Yuan|
95 A general sufficient condition for a graph G with lambda (m) (G) a (c) 1/2 zeta (m) (G) 期刊论文 Shang Li|Zhang HePing|
96 The asymptotic behavior of some indices of iterated line graphs of regular graphs 期刊论文 Yan, Weigen|Yeh, Yeong-Nan|Zhang, Fuji|
97 On the maximal energy tree with two maximum degree vertices 期刊论文 Jing Li|Xueliang Li|Yongtang Shi|
98 Various energies of random graphs 期刊论文 Du, Wenxue|Li, Xueliang|Li, Yiyang|
99 On super 2-restricted and 3-restricted edge-connected vertex transitive graphs 期刊论文 Yang, Weihua|Zhang, Zhao|Qin, Chengfu|Guo, Xiaofeng|
100 Enumerating spanning trees of graphs with an involution 期刊论文 Zhang, Fuji|Yan, Weigen|
101 Lower and upper orientable strong diameters of graphs satisfying the Ore condition 期刊论文 Chen, Meirun|Guo, Xiaofeng|Li, Hao|
102 On f-fault tolerant arc-forwarding and optical indices of all-optical folded hypercubes 期刊论文 Chen, Meirun|Qian, Jianguo|
103 ORIENTED STATE MODEL OF THE JONES POLYNOMIAL AND ITS CONNECTION TO THE DICHROMATIC POLYNOMIAL 期刊论文 Jin, Xian'An|Zhang, Fuji|
104 THE HOMFLY AND DICHROMATIC POLYNOMIALS 期刊论文 Jin, Xian'an|Zhang, Fuji|
105 Hexagonal resonance of (3,6)-fullerenes 期刊论文 Yang, Rui|Zhang, Heping|
106 On the Distance Spectra and Energies of Cartesian Product of Some Graphs 期刊论文 Hongbo Wang|Xiaofeng Guo|
107 On a kind of reliability analysis of networks 期刊论文 Guo, Litao|Yang, Weihua|Guo, Xiaofeng|
108 Maximum energy trees with two maximum degree vertices 期刊论文 Xueliang Li|Xiangmei Yao|Jianbin Zhang|Ivan Gutman|
109 奇图的匹配可扩性 期刊论文 翟绍辉|郭晓峰|
110 Some results on Laplacian spectral radius of graphs with cut vertices 期刊论文 Zhang, Xiaoling|Zhang, Heping|
111 Kirchhoff index of composite graphs 期刊论文 Zhang, Heping|Yang, Yujun|Li, Chuanwen|
112 Adjacent vertex-distinguishing edge and total chromatic numbers of hypercubes 期刊论文 Chen, Meirun|Guo, Xiaofeng|
113 Connectivity and minimal distance spectral radius of graphs 期刊论文 Zhang, Xiaoling|Godsil, Chris|
114 图的匹配理论与图能量的研究 奖励 晏卫根|张福基|
115 Graph Energy 专著 李学良|史永堂|Ivan Gutman|
116 The energy of random graphs 期刊论文 Du, Wenxue|Li, Xueliang|Li, Yiyang|
117 Some rules on resistance distance with applications 期刊论文 Yang, Yujun|Zhang, Heping|
118 Some graphs determined by their spectra 期刊论文 Zhang, Xiaoling|Zhang, Heping|
119 The asymptotic value of the Randic index for trees 期刊论文 Li, Xueliang|Li, Yiyang|
120 Counting the Cyclocized Polyphenacenes 期刊论文 Qian, Jianguo|Zhang, Fuji|
121 On the characterizing properties of the permanental polynomials of graphs 期刊论文 Shunyi Liu|Heping Zhang|
122 Complete solution to a conjecture on the Randic index of triangle-free graphs 期刊论文 Li, Xueliang|Liu, Jianxi|
123 Dimer statistics of honeycomb lattices on Klein bottle, Mobius strip and cylinder 期刊论文 Li, Wei|Zhang, Heping|
124 The Jones Polynomial for Polyhedral Links 期刊论文 Jin, Xian'an|Zhang, Fuji|
125 Direct Sum of Distributive Lattices on the Perfect Matchings of a Plane Bipartite Graph 期刊论文 Zhang, Heping|
126 Topological Analysis of Enzymatic Actions on DNA Polyhedral Links 期刊论文 Hu, Guang|Wang, Ze|Qiu, Wen-Yuan|
127 Complete solution to a conjecture on the maximal energy of unicyclic graphs 期刊论文 Bofeng Huo|Xueliang Li|Yongtang Shi|
128 The Architecture and Jones Polynomials of Cycle-crossover Polyhedral Links 期刊论文 Cheng, Xiao-Sheng|Zhang, Heping|Hu, Guang|Qiu, Wen-Yuan|
129 Dimers Belonging to Three Orientations on Plane Honeycomb Lattices 期刊论文 Yan, Weigen|Yeh, Yeong-Nan|Zhang, Fuji|
130 Maximal resonance of cubic bipartite polyhedral graphs 期刊论文 Shiu, Wai Chee|Zhang, Heping|Liu, Saihua|
131 Wiener Index in Random Polyphenyl Chains 期刊论文 Yang, Weiling|Zhang, Fuji|
132 The Laplacian spectral radius of unicyclic graphs with k pendent vertices 期刊论文 Zhang, Xiaoling|Zhang, Heping|
133 Super connectivity of Kronecker products of graphs 期刊论文 Guo, Litao|Qin, Chengfu|Guo, Xiaofeng|
134 The degree distribution of the random multigraphs 期刊论文 Chen, Ai Lian|Zhang, Fu Ji|Li, Hao|
135 Smallest generalized cuts and diameter-increasing sets of Johnson graphs 期刊论文 Ning, Wantao|Li, Qiuli|Zhang, Heping|
136 Ordering Trees by Balaban Index 期刊论文 Hawei Dong|Xiaofeng Guo|
137 Note on unicyclic graphs with given number of pendent vertices and minimal energy 期刊论文 Huo, Bofeng|Ji, Shengjin|Li, Xueliang|
138 The Architecture and Growth of Extended Platonic Polyhedra 期刊论文 Deng, Tao|Yu, Ming-Li|Hu, Guang|Qiu, Wen-Yuan|
139 Trees with a given order and matching number that have maximum general Randic index 期刊论文 Xueliang Li|Jianxi Liu|Lingping Zhong|
140 The atom-bond connectivity index of chemical bicyclic graphs 期刊论文 Chen Jin-song|Guo Xiao-feng|
141 Dimer statistics on the Klein bottle 期刊论文 Lu, Fuliang|Zhang, Lianzhu|Lin, Fenggen|
142 Johnson图的哈密尔顿连通性、泛圈性和删边保持直径不变性 期刊论文 王灵|
143 A novel molecular design of polyhedral links and their chiral analysis 期刊论文 Cheng, Xiao-Sheng|Qiu, Wen-Yuan|Zhang, He-Ping|
144 GRAPHICAL CALCULI FOR THE DUBROVNIK POLYNOMIAL WITH APPLICATIONS 期刊论文 Jin, Xian'An|
145 Global Forcing Number of Some Chemical Graphs 期刊论文 Cai, Jinzhuan|Zhang, Heping|
146 On the minimal energy of trees with a given number of vertices of degree two 期刊论文 Lin, Xiaoxia|Guo, Xiaofeng|
147 Embeddability of open-ended carbon nanotubes in hypercubes 期刊论文 Zhang, Heping|Wang, Guangfu|
148 Complete solution to a problem on the maximal energy of unicyclic bipartite graphs 期刊论文 Bofeng Huo|Xueliang Li|Yongtang Shi|
149 Small Randic Index Ordering of Trees with k Pendant Vertices 期刊论文 Wu, Xiaoxia|Zhang, Lian-zhu|
150 Algorithms and extremal problem on Wiener polarity index 期刊论文 Wenxue Du|Xueliang Li|Yongtang Shi|
151 The graph of perfect matching polytope and an extreme problem 期刊论文 Bian, Hong|Zhang, Fuji|
152 Optimal strong (k, d)-orientation of complete k-partite graphs 期刊论文 Miao, Huifang|Guo, Xiaofeng|
153 The complexity of Platonic and Archimedean polyhedral links 期刊论文 Hu, Guang|Qiu, Wenyuan|Cheng, Xiaosheng|Liu, Shuya|
154 On the restricted matching extension of graphs on the torus and the Klein bottle 期刊论文 Li, Qiuli|Zhang, Heping|
155 The architecture of polyhedral links and their HOMFLY polynomials 期刊论文 Liu, Shu-Ya|Cheng, Xiao-Sheng|Zhang, Heping|Qiu, Wen-Yuan|
156 GENERA OF THE LINKS DERIVED FROM 2-CONNECTED PLANE GRAPHS 期刊论文 Shuya Liu|Heping Zhang|
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