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» On Planar Path Transformation
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CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 7 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
ADHOC
2005
95views more  ADHOC 2005»
13 years 7 months ago
Planar graph routing on geographical clusters
Geographic routing protocols base their forwarding decisions on the location of the current device, its neighbors, and the packets destination. Early proposed heuristic greedy rou...
Hannes Frey, Daniel Görgen
TASE
2010
IEEE
13 years 2 months ago
Coverage of a Planar Point Set With Multiple Robots Subject to Geometric Constraints
This paper focuses on the assignment of discrete points among K robots and determining the order in which the points should be processed by the robots, in the presence of geometric...
Nilanjan Chakraborty, Srinivas Akella, John T. Wen
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
14 years 18 days ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
DC
2002
13 years 7 months ago
Restoration by path concatenation: fast recovery of MPLS paths
A new general theory about restoration of network paths is first introduced. The theory pertains to restoration of shortest paths in a network following failure, e.g., we prove th...
Yehuda Afek, Anat Bremler-Barr, Haim Kaplan, Edith...