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ICRA
2002
IEEE
98views Robotics» more  ICRA 2002»
14 years 14 days ago
Sensor-Based Exploration for Convex Bodies: A New Roadmap for a Convex-Shaped Robot
We present a new algorithm that enables a convex shaped robot to explore an unknown planar workspace, i.e., an unknown configuration space diffeomorphic to SE(2). This new algor...
Ji Yeong Lee, Howie Choset
ECCV
2010
Springer
13 years 5 months ago
Articulation-Invariant Representation of Non-planar Shapes
Given a set of points corresponding to a 2D projection of a non-planar shape, we would like to obtain a representation invariant to articulations (under no self-occlusions). It is ...
Raghuraman Gopalan, Pavan K. Turaga, Rama Chellapp...
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
13 years 7 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...
CPC
1998
64views more  CPC 1998»
13 years 7 months ago
Isoperimetric Inequalities for Cartesian Products of Graphs
We give a characterization for isoperimetric invariants, including the Cheeger constant and the isoperimetric number of a graph. This leads to an isoperimetric inequality for the ...
Fan R. K. Chung, Prasad Tetali
ENDM
2007
89views more  ENDM 2007»
13 years 7 months ago
Homomorphisms and Polynomial Invariants of Graphs
This paper initiates a study of the connection between graph homomorphisms and the Tutte polynomial. This connection enables us to extend the study to other important polynomial i...
Delia Garijo, Jaroslav Nesetril, M. P. Revuelta