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COMPGEOM
2010
ACM
13 years 11 months ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...
STOC
2003
ACM
126views Algorithms» more  STOC 2003»
14 years 6 months ago
A new approach to dynamic all pairs shortest paths
We study novel combinatorial properties of graphs that allow us to devise a completely new approach to dynamic all pairs shortest paths problems. Our approach yields a fully dynam...
Camil Demetrescu, Giuseppe F. Italiano
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
13 years 6 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
ESA
2006
Springer
77views Algorithms» more  ESA 2006»
13 years 10 months ago
Traversing the Machining Graph
Abstract. Zigzag pocket machining (or 2D-milling) plays an important role in the manufacturing industry. The objective is to minimize the number of tool retractions in the zigzag m...
Danny Z. Chen, Rudolf Fleischer, Jian Li, Haitao W...
MP
2007
100views more  MP 2007»
13 years 5 months ago
Power optimization for connectivity problems
Given a graph with costs on the edges, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of the nodes of this graph...
Mohammad Taghi Hajiaghayi, Guy Kortsarz, Vahab S. ...