## Alternative representations of P systems solutions to the graph colouring problem.(English)Zbl 1431.68027

Summary: This paper first presents a simulation of the simple kernel P systems solution to the graph 3-colouring problem presented in a previous paper by M. Gheorghe et al. [Int. J. Comput. Math. 90, No. 4, 816–830 (2013; Zbl 1274.68125)], implemented in a programming style named Concurrent ML, which is based on the concept of synchronous communication between logical processing elements. This paper then presents and informally analyses an alternative compact single-cell solution to the same problem using P systems with compound objects (cP systems), which has the benefit of naturally adapting to the use of any number of colours greater than zero – only the specified colour symbols need to be changed. Successful and failing examples of the latter solution are also presented.

### MSC:

 68Q07 Biologically inspired models of computation (DNA computing, membrane computing, etc.) 05C15 Coloring of graphs and hypergraphs

Zbl 1274.68125

### Software:

SPIN; gCol; MeCoSim; P-Lingua; jSpin
Full Text:

### References:

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