《凱萊圖、對稱圖與曲面上的地圖》是依託雲南大學，由李才恆擔任負責人的國家自然科學基金資助重點項目。
基本介紹
- 中文名：凱萊圖、對稱圖與曲面上的地圖
- 依託單位：雲南大學
- 項目負責人：李才恆
- 項目類別：重點項目
項目簡介,科研成果,
項目簡介
本項目所涉及的數學對象包括圖，群和曲面；特別地，研究對稱圖及群在圖上和曲面上的作用。近年來，對稱圖在越來越多的領域裡找到了套用：從馬爾科夫鏈混合率，到並行計算中處理器的大型相互作用陣列的通信網路的設計，從基於群論的密碼學，到與計算機科學和化學文檔相關的圖的同構問題。因此，研究傳遞圖對不同領域裡的眾多重要問題有深刻影響和套用。..本項目計畫研究有關對稱圖的幾個重要課題,包括（1）研究邊傳遞圖的擴展性質；（2）研究s-弧傳遞圖的正規覆蓋；（2）刻畫局部s-弧傳遞圖的融合體；（4）刻畫黎曼曲面上的邊傳遞地圖。其目的是解決有關這些課題的若干個重大問題，在每個課題上取得突破性進展並發展有用的理論，並把得到的結果套用於解決其它領域裡的重要問題。
科研成果
序號 | 標題 | 類型 | 作者 |
|---|---|---|---|
1 | CLASSIFYING PENTAVALENT SYMMETRIC GRAPHS OF ORDER 40p | 期刊論文 | Ling, Bo(#); Lou, Ben Gong(*) |
2 | Cayley digraphs of 2-genetic groups of odd prime-power order | 期刊論文 | Wang, Yi(#)，Feng, Yan-Quan(*)，Zhou, Jin-Xin |
3 | Orbital characters and their applications | 期刊論文 | Wang, Lizhong; Zhang, Jiping |
4 | Finite locally-primitive complete bipartite graphs | 期刊論文 | Fan, Wenwen; Li, Cai Heng; Pan, Jiangmin(*) |
5 | Cayley digraphs of 2-genetic groups of odd prime-power order | 期刊論文 | Wang, Yi; Feng, Yan-Quan(*); Zhou, Jin-Xin |
6 | On Arc-Transitive Pentavalent Cayley Graphs on Finite Nonabelian Simple Groups | 期刊論文 | Ling, Bo; Lou, Ben Gong |
7 | A characterization of a family of edge-transitive metacirculant graphs | 期刊論文 | Li, Cai Heng(*); Pan, Jiangmin; Song, Shu Jiao; Wang, Dianjun |
8 | On Arc-Transitive Pentavalent Cayley Graphs on Finite Nonabelian Simple Groups | 期刊論文 | Ling, Bo(#)(*); Lou, Ben Gong |
9 | Fault-tolerant edge bipancyclicity of faulty hypercubes under the conditional-fault model | 期刊論文 | Da Wei Yang; 馮衍全; J.H. Kwak; 周進鑫 |
10 | Arc-transitive cubic graphs of order four times an odd square-free integer | 期刊論文 | Ling, Bo(#)(*); Lou, Ben Gong |
11 | On pentavalent 1-transitive Cayley graphs | 期刊論文 | Ling, Bo(#); Lou, Ben Gong(*); Li, Jing Jian |
12 | Cubic non-Cayley vertex-transitive bi-Cayley graphs over a regular p-group | 期刊論文 | Zhou, Jin-Xin(*); Feng, Yan-Quan |
13 | Huppert's Conjecture for alternating groups | 期刊論文 | Bessenrodt, Christine; Tong-Viet, Hung P.; Zhang, Jiping(*) |
14 | Embedding even cycles on folded hypercubes with conditional faulty edges | 期刊論文 | Cheng, Dongqin(#)(*)，Hao, Rong-Xia，Feng, Yan-Quan |
15 | On edge-transitive graphs of square-free Order | 期刊論文 | 李才恆; 路在平; 王改霞 |
16 | Edge-primitive tetravalent graphs | 期刊論文 | Guo, Song-Tao(#)(*)，Feng, Yan-Quan，Li, Cai Heng |
17 | On isomorphisms of vertex-transitive cubic graphs | 期刊論文 | 陳靜(#)(*); 李才恆; 劉偉俊 |
18 | Arc-transitive petavalent graphs of order four times a prime power | 期刊論文 | Jiangmin Pan(#)(*); Zhaohong Huang |
19 | PENTAVALENT SYMMETRIC GRAPHS OF ORDER 30p | 期刊論文 | Ling, Bo(#); Wu, Ci Xuan; Lou, Ben Gong(*) |
20 | Cubic symmetric graphs of order 8p(3) | 期刊論文 | Feng, Yan-Quan(#)(*); Ghasemi, Mohsen; Yang, Da-Wei |
21 | A 2-ARC TRANSITIVE PENTAVALENT CAYLEY GRAPH OF A(39) | 期刊論文 | Ling, Bo，Lou, Ben Gong(*) |
22 | Tetravalent edge-transitive graphs of order p2q | 期刊論文 | Jiangmin Pan(#)(*); Yin Liu; Zhao Hong Huang; Chen Lone Liu |
23 | Finite groups of fourth-power free order | 期刊論文 | Li, Cai Heng(*); Qiao, Shouhong(*) |
24 | Arc-Transitive Pentavalent Graphs of Square-Free Order | 期刊論文 | Ding, Suyun; Ling, Bo; Lou, Bengong; Pan, Jiangmin |
25 | Arc-transitive cyclic covers of graphs of twice a prime order | 期刊論文 | 潘江敏 |
26 | Fault-tolerant cycles embedding in hypercubes with faulty edges | 期刊論文 | Cheng, Dongqin(#)，Hao, Rong-Xia(*) |
27 | RELATIVE ELEMENTARY ABELIAN GROUPS AND A CLASS OF EDGE-TRANSITIVE CAYLEY GRAPHS | 期刊論文 | Li, Cai Heng(#); Wang, Lei(*) |
28 | Embedding even cycles on folded hypercubes with conditional faulty edges | 期刊論文 | Cheng, Dongqin(#)(*)，Hao, Rong-Xia，Feng, Yan-Quan |
29 | Cubic non-Cayley vertex-transitive bi-Cayley graphs over a regular p-group | 期刊論文 | Zhou, Jin-Xin(*); Feng, Yan-Quan |
30 | Cubic symmetric graphs of order | 期刊論文 | Yan-Quan Feng(#)(*); Mohsen Ghasemi; Da-Wei Yang |
31 | Cycles embedding on folded hypercubes with faulty nodes | 期刊論文 | Cheng, Dongqin，Hao, Rong-Xia(*)，Feng, Yan-Quan |
32 | Pentavalent symmetric graphs of order 2pqr | 期刊論文 | Yang, Da-Wei(#)，Feng, Yan-Quan(*)，Du, Jia-Li |
33 | Cayley digraphs of 2-genetic groups of odd prime-power order | 期刊論文 | Wang, Yi; Feng, Yan-Quan(*); Zhou, Jin-Xin |
34 | Conditional edge-fault pancyclicity of augmented cubes | 期刊論文 | Cheng, Dongqin，Hao, Rong-Xia(*)，Feng, Yan-Quan |
35 | Pentavalent symmetric graphs of order twice a prime power | 期刊論文 | Feng, Yan-Quan(*); Zhou, Jin-Xin; Li, Yan-Tao |
36 | Pentavalent symmetric graphs of order 2pqr | 期刊論文 | Yang, Da-Wei(#)，Feng, Yan-Quan(*)，Du, Jia-Li |
37 | Symmetric cubic graphs with solvable automorphism groups | 期刊論文 | Feng, Yan-Quan(#)(*)，Li, Cai Heng，Zhou, Jin-Xin |
38 | Two node-disjoint paths in balanced hypercubes | 期刊論文 | Cheng, Dongqin(#)，Hao, Rong-Xia(*)，Feng, Yan-Quan |
39 | Small intersections of principal blocks | 期刊論文 | Liu, Yanjun; Zhang, Jiping |
40 | Finite vertex-primitive edge-transitive metacirculants | 期刊論文 | Li, Cai Heng; Lu, Zai Ping; Pan, Jiangmin(*) |
41 | PENTAVALENT SYMMETRIC GRAPHS OF ORDER 30p | 期刊論文 | Bo ling; Cixuan Wu; Ben Gong Lou(*) |
42 | RELATIVE ELEMENTARY ABELIAN GROUPS AND A CLASS OF EDGE-TRANSITIVE CAYLEY GRAPHS | 期刊論文 | Li, Cai Heng(#); Wang, Lei |
43 | Fault-tolerant edge-bipancyclicity of faulty hypercubes under the conditional-fault model | 期刊論文 | Yang, Da-Wei(#)，Feng, Yan-Quan(*)，Kwak, Jin Ho，Zhou, Jin-Xin |
44 | A 2-ARC TRANSITIVE PENTAVALENT CAYLEY GRAPH OF A(39) | 期刊論文 | Ling, Bo; Lou, Ben Gong |
45 | Symmetric cubic graphs with solvable automorphism groups | 期刊論文 | 馮衍全; 李才恆; 周進鑫 |
46 | On arc-regular Frobenius metacirculants | 期刊論文 | Jiangmin Pan(#)(*); Zhaohong Huang; Shiqin Peng |
47 | Fault-tolerant edge-bipancyclicity of faulty hypercubes under the conditional-fault model | 期刊論文 | Yang, Da-Wei(#)，Feng, Yan-Quan(*)，Kwak, Jin Ho，Zhou, Jin-Xin |
48 | Enumerating reflexible 2-cell embeddings of connected graphs | 期刊論文 | Feng Yan-Quan，Kwak, Jin Ho，Zhou JinXin(*) |
49 | Arc-transitive pentavalent graphs of order eight times a prime | 期刊論文 | Cixian Wu; Qiaoyan Yang; Jiangmin Pan(*) |
50 | Cubic bi-Cayley graphs Over abelian groups | 期刊論文 | Zhou, Jin-Xin(#)(*)，Feng, Yan-Quan |
51 | On cyclic regular covers of complete graphs of small order | 期刊論文 | Jiangmin Pan(#)(*); Zhaohong Huang; Fenghui Xu |
52 | Vertex-fault-tolerant cycles embedding in balanced hypercubes | 期刊論文 | Cheng, Dongqin(#)，Hao, Rong-Xia(*)，Feng, Yan-Quan |
53 | Pentavalent symmetric graphs of order 2p(3) | 期刊論文 | Yang DaWei; Feng YanQuan(*) |
54 | Vertex-fault-tolerant cycles embedding in balanced hypercubes | 期刊論文 | Cheng, Dongqin(#)，Hao, Rong-Xia(*)，Feng, Yan-Quan |
55 | On pentavalent 1-transitive Cayley graphs | 期刊論文 | Ling, Bo; Lou, Ben Gong(*); Li, Jing Jian |
56 | Finite vertex-primitive edge transitive metacirculants | 期刊論文 | Caiheng Li; Zaipin Lu; Jiangmin Pan(*) |
57 | Two node-disjoint paths in balanced hypercubes | 期刊論文 | Cheng, Dongqin(#)，Hao, Rong-Xia(*)，Feng, Yan-Quan |
58 | Locally primitive Cayley graphs of dihedral groups | 期刊論文 | Jiangmin Pan(#)(*) |
59 | CLASSIFYING PENTAVALENT SYMMETRIC GRAPHS OF ORDER 40p | 期刊論文 | Ling, Bo; Lou, Ben Gong(*) |
60 | Fault-tolerant edge-bipancyclicity of faulty hypercubes under the conditional-fault model | 期刊論文 | Yang, Da-Wei(#)，Feng, Yan-Quan(*)，Kwak, Jin Ho，Zhou, Jin-Xin |
61 | The finite edge-primitive pentavalent graphs | 期刊論文 | Guo, Song-Tao，Feng, Yan-Quan(*)，Li, Cai Heng |
62 | The Vertex transitive and edge transitive tetravalent graphs of square-free order | 期刊論文 | 李才恆; 路在平; 王改霞 |
63 | 有限素數度弧正則圖 | 期刊論文 | 潘江敏(#)(*); 丁素雲; 劉寅 |
64 | Automorphism group of the balanced hypercube | 期刊論文 | Zhou, Jin-Xin(#)(*); Kwak, Jin Ho; Feng, Yan-Quan; Wu, Zhen-Lin |
65 | Pentavalent symmetric graphs of order twice a prime power | 期刊論文 | Feng, Yan-Quan(*); Zhou, Jin-Xin; Li, Yan-Tao |
66 | Pentavalent symmetric graphs of order 2p(3) | 期刊論文 | Yang DaWei; Feng YanQuan(*) |
67 | Cubic bi-Cayley graphs Over abelian groups | 期刊論文 | Zhou, Jin-Xin(*)，Feng, Yan-Quan |
68 | Finite vertex-biprimitive edge-transitive tetravalent graphs | 期刊論文 | Cai Heng Li(#); Hua Zhang |
69 | A 2-arc transitive pentavalent cayley graph of a(39) | 期刊論文 | Ling, Bo(#); Lou, Ben Gong(*) |
70 | Arc-transitive cubic graphs of order four times an odd square-free integer | 期刊論文 | Ling, Bo; Lou, Ben Gong |
71 | Locally primitive bipartite complete graphs | 期刊論文 | Wenwen Fan; Cai Heng Li; Jiangmin Pan(*) |
72 | 3-extra connectivity of 3-ary n-cube networks | 期刊論文 | Gu, Mei-Mei(#)，Hao, Rong-Xia(*) |
73 | TETRAVALENT ONE-REGULAR GRAPHS OF ORDER 4p(2) | 期刊論文 | Feng, Yan-Quan(#)(*)，Kutnar, Klavdija，Marusic, Dragan，Zhang, Cui |
74 | Conditional Diagnosability of Alternating Group Graphs | 期刊論文 | Hao, Rong-Xia(*)，Feng, Yan-Quan，Zhou, Jin-Xin |
75 | The automorphisms of bi-Cayley graphs | 期刊論文 | Zhou, Jin-Xin(#)(*)，Feng, Yan-Quan |
76 | TETRAVALENT ONE-REGULAR GRAPHS OF ORDER 4p(2) | 期刊論文 | Feng, Yan-Quan(#)(*)，Kutnar, Klavdija，Marusic, Dragan，Zhang, Cui |
77 | Edge-transitive dihedral or cyclic covers of cubic symmetric graphs of order 2P | 期刊論文 | Zhou, Jin-Xin(#)(*)，Feng, Yan-Quan |
78 | Arc-transitive regular cyclic covers of the complete bipartite graph K-p , (p) | 期刊論文 | Pan, Jiangmin(#)(*)，Huang, Zhaohong，Liu, Zhe |
79 | s-arc-transitive graphs and normal subgroups | 期刊論文 | 李才恆; Akos Seress; 宋淑姣 |
80 | Edge-transitive dihedral or cyclic covers of cubic symmetric graphs of order 2P | 期刊論文 | Zhou, Jin-Xin(#)(*)，Feng, Yan-Quan |
81 | Embedding even cycles on folden hypercubes with conditional faulty edge | 期刊論文 | Dong Qin Cheng; Rong Xia Hao; 馮衍全(*) |
82 | Finite groups of fourth-power free order | 期刊論文 | Li, Cai Heng(#)，Qiao, Shouhong(*) |
83 | A characterization of a famly of edge-transitive metacirculant graphs | 期刊論文 | Cai Heng Li; Jiangmin Pan; Shujiao Song; Dianjun Wang |
84 | Arc-Transitive Pentavalent Graphs of Square-Free Order | 期刊論文 | Ding, Suyun(#); Ling, Bo; Lou, Bengong; Pan, Jiangmin(*) |
