Research Article
A Wheel 1-Safe Petri Net Generating all the {0; 1}^n Sequences
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 84 - Issue 16 |
| Published: December 2013 |
| Authors: Gajendra Pratap Singh |
10.5120/14657-2946
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Gajendra Pratap Singh . A Wheel 1-Safe Petri Net Generating all the {0; 1}^n Sequences. International Journal of Computer Applications. 84, 16 (December 2013), 1-7. DOI=10.5120/14657-2946
@article{ 10.5120/14657-2946,
author = { Gajendra Pratap Singh },
title = { A Wheel 1-Safe Petri Net Generating all the {0; 1}^n Sequences },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 84 },
number = { 16 },
pages = { 1-7 },
doi = { 10.5120/14657-2946 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A Gajendra Pratap Singh
%T A Wheel 1-Safe Petri Net Generating all the {0; 1}^n Sequences%T
%J International Journal of Computer Applications
%V 84
%N 16
%P 1-7
%R 10.5120/14657-2946
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Petri nets are a graphic and mathematic modeling tool which is applicable to several systems and to all those systems presenting particular characteristics such as concurrency, distribution, parallelism, non-determinism and/or stochastically. In this paper, a wheel Petri net whose reachability tree contains all the binary n- tuples or sequences as marking vectors has been defined. The result is proved by the using of the Principle of Mathematical Induction (PMI) on jPj = n.
References
- Petri, C. A. , Kommunikation mit automaten, Schriften des Institutes fur Instrumentelle Mathematik, Bonn 1962.
- Kansal, S. , Acharya, M. and Singh, G. P. , Boolean Petri nets. In: Petri nets — Manufacturing and Computer Science (Ed. : Pawel Pawlewski), 381-406; Chapter 17. In-Tech Global Publisher, 2012, ISBN 978-953-51-0700-2.
- Kansal, S. , Singh, G. P. and Acharya, M. , On Petri nets generating all the binary n-vectors, Scientiae Mathematicae Japonicae, 71(2), 2010, 209-216.
- Peterson, J. L. , Petri net Theory and the Modeling of Systems, Englewood Cliffs, NJ: Prentice-Hall, Inc. , 1981.
- Harary, F. , Graph theory, Addison-Wesley, Massachusettes, Reading, 1969.
- Jensen, K. , Coloured Petri nets, Lecture notes in Computer Science, Springer-Verlag, Berlin, 254, 1986, 248-299.
- Reisig, W. , Petri nets, Springer-Verleg, New York, 1985.
- Murata, T. , Petri nets: Properties, analysis and applications, Proc. IEEE, 77(4), 1989, 541-580.
- Acharya, B. D. , Set-indexers of a graph and set-graceful graphs, Bull. Allahabad Math. Soc. , 16, 2001, 1-23.
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