On the area requirements of planar straight-line orthogonal drawings of ternary trees

被引：1
|
作者：
Covella, Barbara [1 ]
Frati, Fabrizio [1 ]
Patrignani, Maurizio [1 ]
机构：
[1] Roma Tre Univ, Rome, Italy
来源：
THEORETICAL COMPUTER SCIENCE | 2021年 / 852卷
基金：
欧盟地平线“2020”;
关键词：
Graph drawing; Ternary tree; Planar straight-line orthogonal drawing; Area requirements; BINARY;
D O I：
10.1016/j.tcs.2020.11.032
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we study the area requirements of planar straight-line orthogonal drawings of ternary trees. We prove that every ternary tree admits such a drawing in sub-quadratic area. Further, we present upper bounds, the outcomes of an experimental evaluation, and a conjecture on the area requirements of planar straight-line orthogonal drawings of complete ternary trees. Finally, we present a polynomial lower bound on the length of the minimum side of any planar straight-line orthogonal drawing of a complete ternary tree. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码：197 / 211
页数：15
相关论文
共 50 条
  • [41] Straight-line grid drawings of label-constrained outerplanar graphs with O(nlogn) area
    Karim M.R.
    Alam M.J.
    Rahman M.S.
    Journal of Graph Algorithms and Applications, 2011, 15 (03) : 437 - 456
  • [42] Transversal structures on triangulations: A combinatorial study and straight-line drawings
    Fusy, Eric
    DISCRETE MATHEMATICS, 2009, 309 (07) : 1870 - 1894
  • [43] Recognition analysis of spiral and straight-line drawings in tremor assessment
    Jenei, Attila Z.
    Sztaho, David
    Valalik, Istvan
    BIOMEDICAL ENGINEERING-BIOMEDIZINISCHE TECHNIK, 2024,
  • [44] Theoretical and Practical Results on Straight Skeletons of Planar Straight-Line Graphs
    Huber, Stefan
    Held, Martin
    COMPUTATIONAL GEOMETRY (SCG 11), 2011, : 171 - 178
  • [45] Straight-Line Embeddings of Two Rooted Trees in the Plane
    A. Kaneko
    M. Kano
    Discrete & Computational Geometry, 1999, 21 : 603 - 613
  • [46] Straight-line embeddings of two rooted trees in the plane
    Kaneko, A
    Kano, M
    DISCRETE & COMPUTATIONAL GEOMETRY, 1999, 21 (04) : 603 - 613
  • [47] AN ALGORITHM FOR STRAIGHT-LINE REPRESENTATION OF SIMPLE PLANAR GRAPHS
    WOO, L
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1969, 287 (03): : 197 - &
  • [48] Straight-line drawings on restricted integer grids in two and three dimensions
    Felsner, S
    Liotta, G
    Wismath, S
    GRAPH DRAWING, 2002, 2265 : 328 - 342
  • [49] Straight-line monotone grid drawings of series-parallel graphs
    Hossain, Md. Iqbal
    Rahman, Md. Saidur
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2015, 7 (02)
  • [50] Straight-line drawings of 2-outerplanar graphs on two curves
    Di Giacomo, E
    Didimo, W
    GRAPH DRAWING, 2004, 2912 : 419 - 424
12345