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» Orthogonal thickness of graphs
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EJC
2010
13 years 7 months ago
Connectivity of chamber graphs of buildings and related complexes
Let be a finite building (or, more generally, a thick spherical and locally finite building). The chamber graph G(), whose edges are the pairs of adjacent chambers in , is known t...
Anders Björner, Kathrin Vorwerk
COMBINATORICS
2006
155views more  COMBINATORICS 2006»
13 years 7 months ago
Orthogonal Art Galleries with Holes: A Coloring Proof of Aggarwal's Theorem
We prove that n+h 4 vertex guards are always sufficient to see the entire interior of an n-vertex orthogonal polygon P with an arbitrary number h of holes provided that there exis...
Pawel Zylinski
ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
14 years 26 days ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki
GD
2004
Springer
14 years 22 days ago
Dynamic Graph Drawing of Sequences of Orthogonal and Hierarchical Graphs
Abstract. In this paper we introduce two novel algorithms for drawing sequences of orthogonal and hierarchical graphs while preserving the mental map. Both algorithms can be parame...
Carsten Görg, Peter Birke, Mathias Pohl, Step...
PPL
2000
91views more  PPL 2000»
13 years 7 months ago
A Parallel Algorithm for Planar Orthogonal Grid Drawings
In this paper we consider the problem of constructing planar orthogonal grid drawings or more simply, layouts of graphs, with the goal of minimizing the number of bends along the ...
Roberto Tamassia, Ioannis G. Tollis, Jeffrey Scott...