Dominator chromatic number of central graph of various graph families such as cycles, paths, wheel graphs, complete graphs and complete bipartite graphs are found in this paper. Also these parameters are compared with dominator chromatic number of their respective graph families.
Dominator chromatic number of central, middle and total graphs of star and double star graph families are found in this paper. Also the relationship between dominator chromatic number and star chromatic number of the above graph families are obtained.
Abstract. In the context of DNA computing, an operation on words, called splicing, was introduced by Head (1987), in his study on recombinant behavior of DNA molecules. Recently, a special kind of splicing, called flat splicing on strings, was considered and several properties were derived. On the other hand, in the study of modelling of distributed complex systems based on language theory, grammar systems were proposed. Here we introduce a grammar system, called alphabetic flat splicing pure context-free grammar system ,)ܵܩܨܥܲܵܨܣ( as a new model of language generation, based on the operation of alphabetic flat splicing on words and pure context-free rules. We derive certain comparison results that bring out the generative power of ܵܩܨܥܲܵܨܣ and as an application construct a ܵܩܨܥܲܵܨܣ generating "floor-design" pictures.
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