Triangular Tile Pasting $P$ System and Array Generating Petri Nets

Abstract

In the area of membrane computing, a new computability model, called P system is a highly distributed and parallel theoretical computing model. Generating two dimensional picture languages is one of the applications of P systems. Ceterachi et al. began a study on connecting the two areas, membrane computing and array grammars. Triangular tile pasting system and the Triangular Tile pasting P system models have been introduced for pattern generation. This paper introduce the k-order TTPS and ETTPS. Also this paper has extended the theory of Triangular tile pasting P system to generate two dimensional picture languages.A comparative study between triangular tile pasting system and Triangular tile pasting P system is made. Comparison is also made with the array generating Petri nets.

An analysis on potential renewable energy system using triangular tile pasting as a Markov Chain in terms of Maximal Clique

“…Tile pasting has a specific rule and it generates patterns such as square, hexagon, octagon and triangle etc. have been discussed in (Bhuvaneswari et al 2016 ; Subramanian et al 2009 ; Vaithyasubramanian et al 2015 ). Pasting rule can be applicable in array token Petri Nets when the input places contain the same array as tokens have been discussed in Lalitha 2015a .…”