On the Automorphism Group of an Antipodal Tight Graph of Diameter 4 with Parameters (5, 7, r)

被引:1
|
作者
Tsiovkina, L. Yu. [1 ]
机构
[1] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ekaterinburg 620990, Russia
基金
俄罗斯科学基金会;
关键词
distance-regular graph; antipodal tight graph; vertex-transitive graph;
D O I
10.1134/S0001434619010115
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is proved that the automorphism group of every AT4(5, 7, r)-graph acts intransitively on the set of its arcs. Moreover, it is established that the automorphism group of any strongly regular graph with parameters (329, 40, 3, 5) acts intransitively on the set of its vertices.
引用
收藏
页码:104 / 114
页数:11
相关论文
共 50 条
  • [31] Diastereoselective Synthesis of Dimethyl (4R*,4a′R*,7a′R*)-1-Aryl-6′-benzoyl-4a′-methyl-5-oxo-1,4′,4a′,5,5′,6′-hexahydrospiro[pyrazole-4,7′-pyrrolo[3,4-c]pyridazine]-3′,7a′(1′H)-dicarboxylates
    Ursic, Uros
    Groselj, Uros
    Meden, Anton
    Svete, Jurij
    Stanovnik, Branko
    SYNTHESIS-STUTTGART, 2009, (02): : 217 - 226
  • [32] [1R,2R,5(1')S,9R,2'R,4'R,5'S]-2,10,10-TRIMETHYL-3-OXA-6-AZATRICYCLO[7,1,1,0(2,7)]UNDECA-5-SPIRO[1'(2',4',5'-TRIMETHYLCYCLOHEXANE)]-6-ENE-4-ONE
    CHIARONI, A
    RICHE, C
    LAVERGNE, JP
    SADOUNE, M
    VIALLEFONT, P
    VIDAL, Y
    ACTA CRYSTALLOGRAPHICA SECTION C-CRYSTAL STRUCTURE COMMUNICATIONS, 1994, 50 : 1122 - 1124
  • [33] A distance-regular graph with the intersection array {8, 7, 5; 1, 1, 4} and its automorphisms
    Belousov I.N.
    Makhnev A.A.
    Proceedings of the Steklov Institute of Mathematics, 2007, 257 (Suppl 1) : S47 - S60
  • [34] (2R, 3R, 4S, 5R)-2-(4-Amino-5-iodo-7Hpyrrolo[2,3-d]pyrimidin-7-yl)-5-methyltetrahydrofuran-3,4-diol
    Floerke, Ulrich
    Drewes, Birte
    ACTA CRYSTALLOGRAPHICA SECTION E-CRYSTALLOGRAPHIC COMMUNICATIONS, 2013, 69 : O1646 - +
  • [35] (2R,3S,4R,5R)-5-(4-Amino-5-iodo-7H-pyrrolo[2,3-d]pyrimidin-7-yl)-4-fluoro-2-(hydroxymethyl)tetrahydrofuran-3-ol
    Li, Wei
    Yang, Ruchun
    Xiao, Qiang
    ACTA CRYSTALLOGRAPHICA SECTION E-CRYSTALLOGRAPHIC COMMUNICATIONS, 2014, 70 : 0120 - +
  • [36] (2S,3R,4S,5R,6S,7R,8R,9S)-1,2,3,4,5,6,7,8,9-NONAACETOXYDECANE
    LEWINSKI, K
    MARSHALL, JA
    BEAUDOIN, S
    ACTA CRYSTALLOGRAPHICA SECTION C-CRYSTAL STRUCTURE COMMUNICATIONS, 1994, 50 : 1366 - 1368
  • [37] Simple 3-(q+1, 5, 3) designs admitting an automorphism group PSL(2, q) with q ≡ 1 (mod 4)
    Li, Weixia
    Deng, Dameng
    Zhang, Guangjun
    ARS COMBINATORIA, 2018, 136 : 97 - 108
  • [38] An asymmetric total synthesis of (+)-(3R,4S,5R,7S)-neoclansenamide
    Wang, JQ
    Tian, WS
    JOURNAL OF THE CHEMICAL SOCIETY-PERKIN TRANSACTIONS 1, 1996, (02): : 209 - 212
  • [39] Crystal structure of (1R,4R,5R,7R)-4-bromomethyl-3,6,8-trioxa-2-oxo-bicyclo[3.2.1]octane-7-dimethylcarboxamide C9H12BrNO5
    Peters, K
    Peters, EM
    vonSchnering, HG
    Kuhn, B
    Jager, V
    ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 1996, 211 (04): : 271 - 272
  • [40] THE STRUCTURE OF (2R,5S,8R,11S)-1,4,7,10-TETRABENZYL-2,5,8,11-TETRAETHYL-1,4,7,10-TETRAAZACYCLODODECANE
    SAKURAI, T
    WATANABE, Y
    TSUBOYAMA, K
    TSUBOYAMA, S
    ACTA CRYSTALLOGRAPHICA SECTION B-STRUCTURAL SCIENCE, 1981, 37 (MAR): : 613 - 618