Connectivity graphs as models of local interactions

Applied Mathematics and Computation

Volumn 168, Issue 1, 2005, Pages 243-269

  Muhammad, Abubakr ^a   Egerstedt, Magnus ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMMUNICATION SYSTEMS; MATHEMATICAL MODELS; MULTI AGENT SYSTEMS; SENSORS; SET THEORY; TOPOLOGY;

ATOMIC GENERATORS; CONNECTIVITY GRAPHS; GRAPH AMALGAMATION; SUBSETS;

GRAPH THEORY;

EID: 25644455066     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.08.039     Document Type: Article

References (13)

1. R. Saber, R. Murray, Agreement problems in networks with directed graphs and switching topology, in: Proc. IEEE Conference on Decision and Control, Maui, Hawaii, December 2003.
2. M. Mesbahi, On a dynamic extension of the theory of graphs, in: Proc. American Control Conference, Anchorage, Alaska, May 2002.
3. A. Muhammad, M. Egerstedt, Decentralized coordination with local interactions: some new directions, in: Proc. Workshop on Cooperative Control, Springer-Verlag, Block Island, RI, in press.
4. E. Klavins Toward the control of self-assembling systems, control problems in agentics 2002 Springer-Verlag pp. 153-168
5. A. Jadbabaie, J. Lin, and A. Morse Coordination of groups of mobile autonomous agents using nearest neighbor rules IEEE Transactions on Automatic Control 48 6 2003 988 1001
6. H. Edelsbrunner The union of balls and its dual shape Discrete and Computational Geometry 13 1995 415 440
7. L. Guibas, J. Hershberger, S. Suri, and L. Zhang Kinetic connectivity for unit disks Discrete and Computational Geometry 25 2001 591 610
8. L. Beinkeke, and R. Wilson Graph Connections: Relationship between Graph Theory and Other Areas of Mathematics 1997 Oxford
9. J. Gross, and T. Tucker Topological Graph Theory 1987 John Wiley New York
10. A. Hatcher Algebraic Topology 2002 Cambridge University Press
11. M. Armstrong Basic Topology 1983 Springer-Verlag
12. A. Muhammad, M. Egerstedt, On the structure of connectivity graphs of agent formations, Technical Report, School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, 2003.
13. A. Muhammad, M. Egerstedt, On the structural complexity of multi-agent agent formations, in: Proc. American Control Conference, Boston, Massachusetts, USA, 2004.