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» The convexity spectra of graphs
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ICRA
2002
IEEE
98views Robotics» more  ICRA 2002»
14 years 12 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
DM
2008
73views more  DM 2008»
13 years 7 months ago
A note on edge-graceful spectra of the square of paths
For a simple path Pr on r vertices, the square of Pr is the graph P2 r on the same set of vertices of Pr , and where every pair of vertices of distance two or less in Pr is connec...
Tao-Ming Wang, Cheng-Chih Hsiao, Sin-Min Lee
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...
CSC
2008
13 years 9 months ago
Eigenvalue Spectra Measurements of Complex Networks
Complex network models such as Kauffman's NK model have been shown to have interesting phase transitional properties as the connectivity is varied. Conventional network and g...
Kenneth A. Hawick
JSYML
2007
66views more  JSYML 2007»
13 years 7 months ago
Spectra of structures and relations
We consider embeddings of structures which preserve spectra: if g : M → S with S computable, then M should have the same Turing degree spectrum (as a structure) that g(M) has (a...
Valentina S. Harizanov, Russel G. Miller