Abstract We consider straight-line drawings of trees on a hexagonal grid. The hexagonal grid is an extension of the common grid with inner nodes of degree six. We restrict the number of directions used for the edges from each node to its children from one to five, and to five patterns: ...
摘要: In this paper we present a new interactive tool for computing orthogonal grid drawings of planar graphs. The tool is based on GDToolkit, an object-oriented library of classes for handling graphs and c关键词:中国 信息技术 软件产业 国际化 ...
City of the Big Shoulders… Chicago Carl Sandburg Chicago is also home of one of the largest street grids in the world, not the one of avenues, streets and boulevards but rather, a second, offset from the first by about an eighth of a block—a gridwork of alleys. Artist William Dolan ...
Alam, M.J., Brandenburg, F.J., Kobourov, S.G. (2013). Straight-Line Grid Drawings of 3-Connected 1-Planar Graphs. In: Wismath, S., Wolff, A. (eds) Graph Drawing. GD 2013. Lecture Notes in Computer Science, vol 8242. Springer, Cham. https://doi.org/10.1007/978-3-319-03841...
Tree drawings on the hexagonal grid. Summary: We consider straight-line drawings of trees on a hexagonal grid. The hexagonal grid is an extension of the common grid with inner nodes of degree six. We restrict the number of directions used for the edges from each node to its... C ...
The image above was created on a computer, but 25 years ago I didn’t have that option. So I settled for paper and pencil, but not just any would do: I used 1-mm graph paper and a mechanical pencil. With those simple tools, I made some pretty intricate drawings. I would get into...
Despite a long research effort, finding the minimum area for straight-line grid drawings of planar graphs is still an elusive goal. A long-standing lower bound on the area requirement for straight-line drawings of plane graphs was establ... F Frati,M Patrignani - Springer, Berlin, Heidelberg...
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Abstract In this paper we present a linear algorithm to draw triconnected planar graphs of degree 3 planar on a linear-sized hexagonal grid such that in at most one edge are bends. This algorithm can be used to draw this class of graphs planar with straight lines on an/2 ×n/2 grid,...
It is proved that every k-colourable graph on n vertices has a grid drawing with O ( k n ) area, and that this bound is best possible. This result can be viewed as a generalisation of the no-three-in-line problem. A further area bound is established that includes the aspect ratio ...