On the Area Requirements of 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：
COMBINATORIAL ALGORITHMS, IWOCA 2018 | 2018年 / 10979卷
基金：
欧盟地平线“2020”;
关键词：
D O I：
10.1007/978-3-319-94667-2_11
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We prove that every n-node ternary tree has a planar straight-line orthogonal drawing in O(n(1.576)) area, improving upon the previously best known O(n(1.631)) bound. Further, we present an upper bound, the outcomes of an experimental evaluation, and a conjecture on the area requirements of planar straight-line orthogonal drawings of complete ternary trees.
引用
收藏
页码：128 / 140
页数：13
相关论文
共 50 条
  • [1] On the area requirements of planar straight-line orthogonal drawings of ternary trees
    Covella, Barbara
    Frati, Fabrizio
    Patrignani, Maurizio
    THEORETICAL COMPUTER SCIENCE, 2021, 852 : 197 - 211
  • [2] Straight-line orthogonal drawings of binary and ternary trees
    Frati, Fabrizio
    GRAPH DRAWING, 2008, 4875 : 76 - 87
  • [3] Optimizing area and aspect ratio in straight-line orthogonal tree drawings
    Chan, TM
    Goodrich, MT
    Kosaraju, SR
    Tamassia, R
    COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2002, 23 (02): : 153 - 162
  • [4] Orthogonal and straight-line drawings of graphs with succinct representations
    Chen, HL
    Yen, HC
    GRAPH DRAWING, 1999, 1731 : 416 - 417
  • [5] Straight-line drawings of general trees with linear area and arbitrary aspect ratio
    Garg, A
    Rusu, A
    COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCA 2003, PT 3, PROCEEDINGS, 2003, 2669 : 876 - 885
  • [6] Minimizing the area for planar straight-line grid drawings
    Krug, Marcus
    Wagner, Dorothea
    GRAPH DRAWING, 2008, 4875 : 207 - 212
  • [7] Area-efficient order-preserving planar straight-line drawings of ordered trees
    Garg, A
    Rusu, A
    INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS, 2003, 13 (06) : 487 - 505
  • [8] Area-efficient order-preserving planar straight-line drawings of ordered trees
    Garg, A
    Rusu, A
    COMPUTING AND COMBINATORICS, PROCEEDINGS, 2003, 2697 : 475 - 486
  • [9] Straight-line grid drawings of planar graphs with linear area
    Karim, Rezaul
    Rahman, Saidur
    ASIA-PACIFIC SYMPOSIUM ON VISUALISATION 2007, PROCEEDINGS, 2007, : 109 - +
  • [10] Area-efficient algorithms for straight-line tree drawings
    Shin, CS
    Kim, SK
    Chwa, KY
    COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2000, 15 (04): : 175 - 202
12345