Drawing High-degree Graphs with Small Grid-size Drawing High-degree Graphs with Small Grid-size
نویسندگان
چکیده
In this paper, we present a general scheme to produce interactive and static orthogonal drawings of graphs. As opposed to most known algorithms, we do not restrict ourselves to graph with maximum degree 4, but allow arbitrary degrees. We show here how, with one speciic implementation of the scheme, we can obtain an m+n 2 m+n 2-grid for all simple connected graphs without nodes of degree 1. Furthermore, there is at most one bend per edge, and the number of bends is at most m. Th dimension of node v is at most deg (v) 2. The algorithm works in linear time.
منابع مشابه
Planar Polyline Drawings with Good Angular Resolution
We present a linear time algorithm that constructs a planar polyline grid drawing of any plane graph with n vertices and maximum degree d on a (2n ? 5) (3 2 n ? 7 2) grid with at most 5n ? 15 bends and minimum angle > 2 d. In the constructed drawings, every edge has at most three bends and length O(n). To our best knowledge, this algorithm achieves the best simultaneous bounds concerning the gr...
متن کاملTwo-Bend Three-Dimensional Orthogonal Grid Drawing of Maximum Degree Five Graphs
Some recent algorithms for 3-dimensional orthogonal graph drawing use no more than 3 bends per edge route. It is unknown if there exists a graph requiring a 3-bend edge route. In this paper we present an algorithm for 2-bend 3-dimensional orthogonal grid drawing of maximum degree 5 graphs. In addition 2-bend 3-dimensional grid drawings of the 6-regular multi-partite graphs are given.
متن کاملArea-Efficient Static and Incremental Graph Drawings
In this paper, we present algorithms to produce orthogonal drawings of arbitrary graphs. As opposed to most known algorithms, we do not restrict ourselves to graphs with maximum degree 4. The best previous result gave an (m ? 1) (m 2 + 1)-grid for graphs with n nodes and m edges. We present algorithms for two scenarios. In the static scenario, the graph is given completely in advance. We produc...
متن کاملMonotone Grid Drawings of Planar Graphs
Amonotone drawing of a planar graph G is a planar straightline drawing of G where a monotone path exists between every pair of vertices of G in some direction. Recently monotone drawings of planar graphs have been proposed as a new standard for visualizing graphs. A monotone drawing of a planar graph is a monotone grid drawing if every vertex in the drawing is drawn on a grid point. In this pap...
متن کاملThe Three-Phase Method: A Unified Approach to Orthogonal Graph Drawing
In this paper, we study orthogonal graph drawings from a practical point of view. Most previously existing algorithms restricted the attention to graphs of maximum degree four. Here we study orthogonal drawing algorithms that work for any input graph, and discuss diierent models for such drawings. Then we introduce the three-phase method, a generic technique to create high-degree orthogonal dra...
متن کامل