homotopic routing
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scholarly journals Bounded stretch geographic homotopic routing in sensor networks

2014 ◽  
Author(s):  
Kan Huang ◽  
Chien-Chun Ni ◽  
Rjk Sarkar ◽  
Jie Gao ◽  
Joseph S. B. Mitchell
Keyword(s):  
Sensor Networks ◽  
Homotopic Routing

AN ALGORITHM FOR STEINER TREES IN GRID GRAPHS AND ITS APPLICATION TO HOMOTOPIC ROUTING

1996 ◽  
Vol 06 (01) ◽  
pp. 1-13 ◽  
Author(s):  
MICHAEL KAUFMANN ◽  
SHAODI GAO ◽  
K. THULASIRAMAN
Keyword(s):  
Steiner Tree ◽  
Steiner Trees ◽  
Minimum Length ◽  
Routing Problem ◽  
Tree Algorithm ◽  
Grid Graphs ◽  
Steiner Minimal Trees ◽  
Homotopic Routing

In this paper we present an algorithm for Steiner minimal trees in grid graphs with all terminals located on the boundary of the graph. The algorithm runs in O(min{k4, k2n}) time, where k and n are the numbers of terminals and vertices of the graph, respectively. It can handle non-convex boundaries and is the fastest known for this case. We also consider the homotopic routing problem and apply our Steiner tree algorithm to construct minimum-length wires for multi-terminal nets.

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