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» On the Connectivity of Graphs Embedded in Surfaces II
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COMBINATORICS
2002
68views more  COMBINATORICS 2002»
13 years 4 months ago
On the Connectivity of Graphs Embedded in Surfaces II
Michael D. Plummer, Xiaoya Zha
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
SIAMCOMP
1998
85views more  SIAMCOMP 1998»
13 years 4 months ago
Separator-Based Sparsification II: Edge and Vertex Connectivity
We consider the problem of maintaining a dynamic planar graph subject to edge insertions and edge deletions that preserve planarity but that can change the embedding. We describe a...
David Eppstein, Zvi Galil, Giuseppe F. Italiano, T...
DM
2007
59views more  DM 2007»
13 years 4 months ago
Non-existence of nonorientable regular embeddings of n-dimensional cubes
By a regular embedding of a graph K into a surface we mean a 2-cell embedding of K into a compact connected surface with the automorphism group acting regularly on flags. Regular...
Young Soo Kwon, Roman Nedela
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