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CORR
2000
Springer
81views Education» more  CORR 2000»
13 years 10 months ago
Safe cooperative robot dynamics on graphs
This paper initiates the use of vector fields to design, optimize, and implement reactive schedules for safe cooperative robot patterns on planar graphs. We consider Automated Gui...
Robert Ghrist, Daniel E. Koditschek
ICIP
2005
IEEE
15 years 1 hour ago
Detection of semantic objects using description graphs
This paper presents a technique to detect instances of classes (objects) according to their semantic definition in the form of a Description Graph. Classes are defined as combinat...
Ferran Marqués, Xavier Giro
DM
2010
78views more  DM 2010»
13 years 10 months ago
Injective colorings of sparse graphs
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
COMBINATORICS
2002
88views more  COMBINATORICS 2002»
13 years 10 months ago
Graph Color Extensions: When Hadwiger's Conjecture and Embeddings Help
Suppose G is r-colorable and P V (G) is such that the components of G[P] are far apart. We show that any (r + s)-coloring of G[P] in which each component is s-colored extends to ...
Michael O. Albertson, Joan P. Hutchinson
FOCS
2003
IEEE
14 years 3 months ago
On Levels in Arrangements of Curves, II: A Simple Inequality and Its Consequences
We give a surprisingly short proof that in any planar arrangement of Ò curves where each pair intersects at most a fixed number (×) of times, the -level has subquadratic (Ç´...
Timothy M. Chan