Drawing graphs on the torus

被引:0
|
作者
Kocay, W [1 ]
Neilson, D [1 ]
Szypowski, R [1 ]
机构
[1] Univ Manitoba, Dept Comp Sci, Winnipeg, MB R3T 2N2, Canada
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a 2-connected graph with a toroidal rotation system given. An algorithm for constructing a straight line drawing with no crossings on a rectangular representation of the torus is presented. It is based on Read's algorithm for constructing a planar layout of a 2-connected graph with a planar rotation system. It is proved that the method always works. The complexity of the algorithm is linear in the number of vertices of G.
引用
收藏
页码:259 / 277
页数:19
相关论文
共 50 条
  • [1] Drawing 4-Pfaffian graphs on the torus
    Serguei Norine
    Combinatorica, 2009, 29 : 109 - 119
  • [2] Drawing 4-Pfaffian graphs on the torus
    Norine, Serguei
    COMBINATORICA, 2009, 29 (01) : 109 - 119
  • [3] THE BICHROMATICITY OF CYLINDER GRAPHS AND TORUS GRAPHS
    PRITIKIN, D
    JOURNAL OF GRAPH THEORY, 1987, 11 (01) : 101 - 111
  • [4] Pfaffian graphs embedding on the torus
    ZHANG LianZhu
    WANG Yan
    LU FuLiang
    Science China(Mathematics), 2013, 56 (09) : 1957 - 1964
  • [5] Pfaffian graphs embedding on the torus
    Zhang LianZhu
    Wang Yan
    Lu FuLiang
    SCIENCE CHINA-MATHEMATICS, 2013, 56 (09) : 1957 - 1964
  • [6] GRID MINORS OF GRAPHS ON THE TORUS
    DEGRAAF, M
    SCHRIJVER, A
    JOURNAL OF COMBINATORIAL THEORY SERIES B, 1994, 61 (01) : 57 - 62
  • [7] CHY-graphs on a torus
    Carlos Cardona
    Humberto Gomez
    Journal of High Energy Physics, 2016
  • [8] REGULAR EMBEDDINGS OF GRAPHS ON TORUS
    XUONG, NH
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 281 (16): : 683 - 685
  • [9] CIRCUITS IN GRAPHS EMBEDDED ON THE TORUS
    SCHRIJVER, A
    DISCRETE MATHEMATICS, 1992, 106 : 415 - 433
  • [10] Pfaffian graphs embedding on the torus
    LianZhu Zhang
    Yan Wang
    FuLiang Lu
    Science China Mathematics, 2013, 56 : 1957 - 1964