Generation of Certain Patterns Using Array-Token Petri Nets

Authors

  • Philomena VS PG Department of Mathematics, Women’s Christian College, Chennai-6
  • Santhiya R PG Department of Mathematics, Women’s Christian College, Chennai-6
  • Usha P Department of Mathematics, D.G. Vaishnav College, Chennai-

Keywords:

Petri net, Array-token Petri net, Picture languages

Abstract

A Petri net is a specific type of Mathematical modeling which is useful in data analysis, simulations, business process modeling and other such scenarios. There are different types of Petri net models which models the behaviour of distributed systems. This paper presents some applications of array token Petri nets by generating certain pattern of picture languages using evolutionary rules on transitions. An Array-token Petri net (ATPN) was first defined by Beulah Immanuel by labeling tokens by arrays which generates picture languages. This paper contains two rules called elementary evolution rule (EER) and parallel evolution rule (PER) which is used to generate same pattern of picture languages in different sizes. Application of ATPN which generates English alphabetic letters treated as rectangular arrays was examined and also Petri net which generates kolam pattern was also studied. Motivated by these papers, we have generated certain patterns of picture languages using ATPNs by applying some evolution rules on transitions

References

[1] B. Immanuel, K. Rangarajan, K.G. Subramanian, “String token-Petri nets”, Proceedings of the European Conference on Artificial Intelligence, One day workshop on Symbolic Networks, at Vanlencia, Spain, 2004.

[2] B. Immanuel, K.G. Subramanian, P. Usha, “Array token petri nets and character Generation”, Proceedings of National Conference on Computational Mathematics and Soft Computing, Women’s Christian College, pp. 68-72, 2009.

[3] K. Jensen, “Coloured Petri nets”, Lecture Notes in Computer Science, 254, 1987 (248-299).

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[5] D. Lalitha and K. Rangarajan, “Characterisation of Pasting System using Array Token Petri Nets”, International Journal of Pure and Applied Mathematics, Vol. 70, No.3, pp. 275-284, 2011.

[6] D. Lalitha and K. Rangarajan, “Petri nets generating Kolam Patterns”, Indian Journal of Computer Science and Engineering, Vol. 3, No.1, pp. 68-74, 2012.

[7] A. Rosenfeld and R. Siromoney, “Picture languages – a survey, languages of design”, Vol. 1, pp. 229-245, 1993.

[8] G. Siromoney, R. Siromoney and Kamala Krithivasan, “Abstract families of Matrices and Picture Languages”, Computer Graphics and Image Processing 1, pp. 282-307, 1972.

[9] P. Usha, B. Immanuel, R. Sattanathan, “Application of Array token Petri nets in generating English Alphabetic letters”, The Journal of Combinatorial Mathematics and Combinatorial Computing, Vol. 79, pp. 91-98, 2011.

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Published

2025-11-25

How to Cite

[1]
V. S. Philomena, R. Santhiya, and P. Usha, “Generation of Certain Patterns Using Array-Token Petri Nets”, Int. J. Comp. Sci. Eng., vol. 7, no. 5, pp. 25–29, Nov. 2025.

Issue

Vol. 7 No. 5 (2019): IJCSE Special Issue Mar Edition

Section

Research Article

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