منابع مشابه
Upward Planar Drawings and Switch-regularity Heuristics
In this paper we present a new characterization of switch-regular upward embeddings, a concept introduced by Di Battista and Liotta in 1998. This characterization allows us to define a new efficient algorithm for computing upward planar drawings of embedded planar digraphs. If compared with a popular approach described by Bertolazzi, Di Battista, Liotta, and Mannino, our algorithm computes draw...
متن کاملUniversal Slope Sets for Upward Planar Drawings
We prove that every set S of ∆ slopes containing the horizontal slope is universal for 1-bend upward planar drawings of bitonic st-graphs with maximum vertex degree ∆, i.e., every such digraph admits a 1-bend upward planar drawing whose edge segments use only slopes in S. This result is worst-case optimal in terms of the number of slopes, and, for a suitable choice of S, it gives rise to drawin...
متن کاملPlanar upward tree drawings with optimal area
Rooted trees are usually drawn planar and upward i e without crossings and with out any parent placed below its child In this paper we investigate the area requirement of planar upward drawings of rooted trees We give tight upper and lower bounds on the area of various types of drawings and provide linear time algorithms for constructing optimal area drawings Let T be a bounded degree rooted tr...
متن کاملMorphing Planar Graph Drawings
The study of planar graphs dates back to Euler and the earliest days of graph theory. Centuries later came the proofs by Wagner, Fáry and Stein that every planar graph can be drawn with straight line segments for the edges, and the algorithm by Tutte for constructing such straight-line drawings given in his 1963 paper, “How to Draw a Graph”. With more recent attention to complexity issues, this...
متن کاملMorphing Planar Graph Drawings Optimally
We provide an algorithm for computing a planar morph between any two planar straight-line drawings of any n-vertex plane graph in O(n) morphing steps, thus improving upon the previously best known O(n) upper bound. Further, we prove that our algorithm is optimal, that is, we show that there exist two planar straight-line drawings Γs and Γt of an n-vertex plane graph G such that any planar morph...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational Geometry
سال: 2020
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2020.101668