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CORR
2007
Springer
132views Education» more  CORR 2007»
14 years 9 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
78
Voted
ESA
2005
Springer
95views Algorithms» more  ESA 2005»
15 years 3 months ago
Finding Shortest Non-separating and Non-contractible Cycles for Topologically Embedded Graphs
We present an algorithm for finding shortest surface non-separating cycles in graphs embedded on surfaces in O(g3/2 V 3/2 log V + g5/2 V 1/2 ) time, where V is the number of vert...
Sergio Cabello, Bojan Mohar
PAMI
2007
154views more  PAMI 2007»
14 years 9 months ago
Graph Embedding and Extensions: A General Framework for Dimensionality Reduction
—Over the past few decades, a large family of algorithms—supervised or unsupervised; stemming from statistics or geometry theory—has been designed to provide different soluti...
Shuicheng Yan, Dong Xu, Benyu Zhang, HongJiang Zha...
HYBRID
2007
Springer
15 years 1 months ago
Solving Coverage Problems with Embedded Graph Grammars
We show how Embedded Graph Grammars (EGGs) are used to specify local interaction rules between mobile robots in a natural manner. This formalism allows us to treat local network to...
John-Michael McNew, Eric Klavins, Magnus Egerstedt
TALG
2010
83views more  TALG 2010»
14 years 4 months ago
Finding shortest contractible and shortest separating cycles in embedded graphs
We give a polynomial-time algorithm to find a shortest contractible cycle (i.e. a closed walk without repeated vertices) in a graph embedded in a surface. This answers a question ...
Sergio Cabello