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» Cycles, Paths, Connectivity and Diameter in Distance Graphs
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HPCC
2007
Springer
14 years 1 months ago
CDACAN: A Scalable Structured P2P Network Based on Continuous Discrete Approach and CAN
Abstract. CAN is a famous structured peer-to-peer network based on ddimensional torus topology with constant degree and logarithmical diameter, but suffers from poor scalability wh...
Lingwei Li, Qunwei Xue, Deke Guo
ICRA
2005
IEEE
124views Robotics» more  ICRA 2005»
14 years 1 months ago
Sensor-based Planning for Planar Multi-Convex Rigid Bodies
— This paper presents a method for a planar rigid body consisting of multiple convex bodies to explore an unknown planar workspace, i.e., an unknown configuration space diffeomo...
Ji Yeong Lee, Howie Choset
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
14 years 23 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...
ALGOSENSORS
2004
Springer
14 years 29 days ago
On a Conjecture Related to Geometric Routing
We conjecture that any planar 3-connected graph can be embedded in the plane in such a way that for any nodes s and t, there is a path from s to t such that the Euclidean distance ...
Christos H. Papadimitriou, David Ratajczak
IPL
2008
68views more  IPL 2008»
13 years 7 months ago
The hub number of a graph
A hub set in a graph G is a set U V (G) such that any two vertices outside U are connected by a path whose internal vertices lie in U. We prove that h(G) hc(G) c(G) h(G) + 1, ...
Tracy Grauman, Stephen G. Hartke, Adam Jobson, Bil...