Drawing series-parallel graphs on a box

نویسندگان

  • Emilio Di Giacomo
  • Giuseppe Liotta
  • Stephen K. Wismath
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Improved Lower Bounds on the Area Requirements of Series-Parallel Graphs

We show that there exist series-parallel graphs requiring Ω(n2 √ ) area in any straight-line or poly-line grid drawing. Such a result is achieved in two steps. First, we show that, in any straight-line or poly-line drawing of K2,n, one side of the bounding box has length Ω(n), thus answering two questions posed by Biedl et al. Second, we show a family of series-parallel graphs requiring Ω(2 √ )...

متن کامل

Lower Bounds on the Area Requirements of Series-Parallel Graphs

We show that there exist series-parallel graphs requiring Ω(n2 √ ) area in any straight-line or poly-line grid drawing. Such a result is achieved in two steps. First, we show that, in any straight-line or poly-line drawing of K2,n, one side of the bounding box has length Ω(n), thus answering two questions posed by Biedl et al. Second, we show a family of series-parallel graphs requiring Ω(2 √ )...

متن کامل

Plane 3-trees: Embeddability & Approximation

We give anO(n log n)-time linear-space algorithm that, given a plane 3-tree G with n vertices and a set S of n points in the plane, determines whether G has a point-set embedding on S (i.e., a planar straight-line drawing of G where each vertex is mapped to a distinct point of S), improving the O(n)-time O(n)-space algorithm of Moosa and Rahman. Given an arbitrary plane graph G and a point set ...

متن کامل

Drawing Graphs by Example E ciently : Trees and Planar Acyclic Digraphs ? ( Extended Abstract )

Constraint-based graph drawing systems provide expressive power and exibility. Previously proposed approaches make use of general constraint solvers, which are ineecient, and of textual speciication of constraints, which can be long and diicult to understand. In this paper we propose the use of a constraint-based visual language for constructing planar drawings of trees, series-parallel graphs,...

متن کامل

A Framework for Dynamic Graph

Drawing graphs is an important problem that combines avors of computational geometry and graph theory. Applications can be found in a variety of areas including circuit layout, network management, software engineering, and graphics. The main contributions of this paper can be summarized as follows: We devise a model for dynamic graph algorithms, based on performing queries and updates on an imp...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002