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» Manhattan-Geodesic Embedding of Planar Graphs
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GD
2005
Springer
14 years 3 months ago
C-Planarity of Extrovert Clustered Graphs
A clustered graph has its vertices grouped into clusters in a hierarchical way via subset inclusion, thereby imposing a tree structure on the clustering relationship. The c-planari...
Michael T. Goodrich, George S. Lueker, Jonathan Z....
ISAAC
1999
Springer
110views Algorithms» more  ISAAC 1999»
14 years 2 months ago
Online Routing in Triangulations
We consider online routing algorithms for routing between the vertices of embedded planar straight line graphs. Our results include (1) two deterministic memoryless routing algorit...
Prosenjit Bose, Pat Morin
GC
2010
Springer
13 years 8 months ago
Polyhedral Suspensions of Arbitrary Genus
A new class of polyhedra is discovered—bipyramids of arbitrarily prescribed genus. A two-dimensional generalization of Fáry’s Theorem is established. A purely combinatorial de...
Serge Lawrencenko
INFOCOM
2009
IEEE
14 years 4 months ago
Greedy Routing with Bounded Stretch
—Greedy routing is a novel routing paradigm where messages are always forwarded to the neighbor that is closest to the destination. Our main result is a polynomial-time algorithm...
Roland Flury, Sriram V. Pemmaraju, Roger Wattenhof...
COCOON
2001
Springer
14 years 2 months ago
PC-Trees vs. PQ-Trees
A data structure called PC-tree is introduced as a generalization of PQ-trees. PC-trees were originally introduced in a planarity test of Shih and Hsu [7] where they represent par...
Wen-Lian Hsu