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» Diameter bounds for planar graphs
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FAW
2009
Springer
177views Algorithms» more  FAW 2009»
14 years 2 months ago
Bounds on the Geometric Mean of Arc Lengths for Bounded-Degree Planar Graphs
Data access time becomes the main bottleneck in applications dealing with large-scale graphs. Cache-oblivious layouts, constructed to minimize the geometric mean of arc lengths of ...
Mohammad Khairul Hasan, Sung-Eui Yoon, Kyung-Yong ...
CORR
2008
Springer
98views Education» more  CORR 2008»
13 years 7 months ago
Void Traversal for Guaranteed Delivery in Geometric Routing
Geometric routing algorithms like GFG (GPSR) are lightweight, scalable algorithms that can be used to route in resource-constrained ad hoc wireless networks. However, such algorith...
Mikhail Nesterenko, Adnan Vora
GD
2006
Springer
13 years 11 months ago
Planar Decompositions and the Crossing Number of Graphs with an Excluded Minor
Tree decompositions of graphs are of fundamental importance in structural and algorithmic graph theory. Planar decompositions generalise tree decompositions by allowing an arbitrar...
David R. Wood, Jan Arne Telle
IPL
2002
65views more  IPL 2002»
13 years 7 months ago
A new bound for map labeling with uniform circle pairs
Given a planar point set, we wish to label the points with uniform circular labels such that each input point lies on the boundary of two labels, none of the interiors of the labe...
Michael J. Spriggs, J. Mark Keil
CORR
2008
Springer
135views Education» more  CORR 2008»
13 years 7 months ago
The Isomorphism Problem for Planar 3-Connected Graphs is in Unambiguous Logspace
The isomorphism problem for planar graphs is known to be efficiently solvable. For planar 3-connected graphs, the isomorphism problem can be solved by efficient parallel algorithm...
Thomas Thierauf, Fabian Wagner