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ENDM
2002
91views more  ENDM 2002»
13 years 6 months ago
On minimally 3-connected graphs on a surface
It is well-known that the maximal size of minimally 3-connected graphs of order 7n is 93 -n . In this paper, we shall prove that if G is a minimally 3-connected graph of order n, ...
Katsuhiro Ota
GD
2007
Springer
14 years 9 days ago
Minimizing the Area for Planar Straight-Line Grid Drawings
Straight-line grid drawings of bounded size is a classical topic in graph drawing. The Graph Drawing Challenge 2006 dealt with minimizing the area of planar straight-line grid draw...
Marcus Krug, Dorothea Wagner
SIAMDM
2010
109views more  SIAMDM 2010»
13 years 27 days ago
Ends and Vertices of Small Degree in Infinite Minimally k-(Edge)-Connected Graphs
Bounds on the minimum degree and on the number of vertices attaining it have been much studied for finite edge-/vertex-minimally kconnected/k-edge-connected graphs. We give an ove...
Maya Stein
DASFAA
2011
IEEE
177views Database» more  DASFAA 2011»
12 years 9 months ago
Optimizing Incremental Maintenance of Minimal Bisimulation of Cyclic Graphs
Abstract. Graph-structured databases have numerous recent applications including the Semantic Web, biological databases and XML, among many others. In this paper, we study the main...
Jintian Deng, Byron Choi, Jianliang Xu, Sourav S. ...
COMPGEOM
2003
ACM
13 years 11 months ago
Planar minimally rigid graphs and pseudo-triangulations
Pointed pseudo-triangulations are planar minimally rigid graphs embedded in the plane with pointed vertices (adjacent to an angle larger than π). In this paper we prove that the ...
Ruth Haas, David Orden, Günter Rote, Francisc...