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» Strong embeddings of minimum genus
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SODA
2012
ACM
205views Algorithms» more  SODA 2012»
11 years 7 months ago
Global minimum cuts in surface embedded graphs
We give a deterministic algorithm to find the minimum cut in a surface-embedded graph in near-linear time. Given an undirected graph embedded on an orientable surface of genus g,...
Jeff Erickson, Kyle Fox, Amir Nayyeri
COMPGEOM
2009
ACM
13 years 11 months ago
Minimum cuts and shortest homologous cycles
We describe the first algorithms to compute minimum cuts in surface-embedded graphs in near-linear time. Given an undirected graph embedded on an orientable surface of genus g, w...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri
IPL
2010
111views more  IPL 2010»
13 years 3 months ago
Connecting face hitting sets in planar graphs
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
Pascal Schweitzer, Patrick Schweitzer
GECCO
2006
Springer
151views Optimization» more  GECCO 2006»
13 years 8 months ago
Neighbourhood searches for the bounded diameter minimum spanning tree problem embedded in a VNS, EA, and ACO
We consider the Bounded Diameter Minimum Spanning Tree problem and describe four neighbourhood searches for it. They are used as local improvement strategies within a variable nei...
Martin Gruber, Jano I. van Hemert, Günther R....