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» On minimally 3-connected graphs on a surface
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ENDM
2002
91views more  ENDM 2002»
13 years 4 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
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 4 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
JCT
2006
102views more  JCT 2006»
13 years 4 months ago
Minimal bricks
A brick is a 3-connected graph such that the graph obtained from it by deleting any two distinct vertices has a perfect matching. A brick is minimal if for every edge e the deletio...
Serguei Norine, Robin Thomas
ICCV
2003
IEEE
14 years 6 months ago
Computing Geodesics and Minimal Surfaces via Graph Cuts
Yuri Boykov, Vladimir Kolmogorov