On representations of some thickness-two graphs - Extended abstract

被引：0
|
作者：
Hutchinson, JP
Shermer, T
Vince, A
机构：
[1] SIMON FRASER UNIV,DEPT COMP SCI,BURNABY,BC V5A 1S6,CANADA
[2] UNIV FLORIDA,DEPT MATH,GAINESVILLE,FL 32611
来源：
GRAPH DRAWING | 1996年 / 1027卷
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper considers representations of graphs as rectangle-visibility graphs and as doubly linear graphs. These are, respectively, graphs whose vertices are isothetic rectangles in the plane with adjacency determined by horizontal and vertical visibility, and graphs that can be drawn as the union of two straight-edged planar graphs. We prove that these graphs have, with n vertices, at most 6n-20 (resp., 6n-18) edges, and we provide examples of these graphs with 6n-20 edges for each n greater than or equal to 8.
引用
收藏
页码：324 / 332
页数：9
相关论文
共 50 条
  • [1] On representations of some thickness-two graphs
    Hutchinson, JP
    Shermer, T
    Vince, A
    [J]. COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 1999, 13 (03): : 161 - 171
  • [2] Thickness-two graphs part one: New nine-critical graphs, permuted layer graphs, and Catlin's graphs
    Boutin, Debra L.
    Gethner, Ellen
    Sulankel, Thom
    [J]. JOURNAL OF GRAPH THEORY, 2008, 57 (03) : 198 - 214
  • [3] Thickness-Two Graphs Part Two: More New Nine-Critical Graphs, Independence Ratio, Cloned Planar Graphs, and Singly and Doubly Outerplanar Graphs
    Gethner, Ellen
    Sulanke, Thom
    [J]. GRAPHS AND COMBINATORICS, 2009, 25 (02) : 197 - 217
  • [4] Thickness-Two Graphs Part Two: More New Nine-Critical Graphs, Independence Ratio, Cloned Planar Graphs, and Singly and Doubly Outerplanar Graphs
    Ellen Gethner
    Thom Sulanke
    [J]. Graphs and Combinatorics, 2009, 25 : 197 - 217
  • [5] Extended abstract dependency graphs
    Søren Enevoldsen
    Kim Guldstrand Larsen
    Jiří Srba
    [J]. International Journal on Software Tools for Technology Transfer, 2022, 24 : 49 - 65
  • [6] Graphs and Automata Extended abstract
    Melichar, Borivoj
    [J]. PROCEEDINGS OF THE PRAGUE STRINGOLOGY CONFERENCE 2013, 2013, : 1 - 6
  • [7] Extended abstract dependency graphs
    Enevoldsen, Soren
    Larsen, Kim Guldstrand
    Srba, Jiri
    [J]. INTERNATIONAL JOURNAL ON SOFTWARE TOOLS FOR TECHNOLOGY TRANSFER, 2022, 24 (01) : 49 - 65
  • [8] Rankings of directed graphs (extended abstract)
    Kratochvíl, J
    Tuza, Z
    [J]. GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE, 1998, 1517 : 114 - 123
  • [9] Distance labeling in graphs (extended abstract)
    Gavoille, C
    Peleg, D
    Pérennes, S
    Raz, R
    [J]. PROCEEDINGS OF THE TWELFTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, 2001, : 210 - 219
  • [10] Coordination Games on Graphs (Extended Abstract)
    Apt, Krzysztof R.
    Rahn, Mona
    Schaefer, Guido
    Simon, Sunil
    [J]. WEB AND INTERNET ECONOMICS, 2014, 8877 : 441 - 446
12345