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Characteristics of Self-Assembled Semigraphs in DNA Splicing System

In this paper, the notion of self-assembly to overlap two semigraphs in DNA splicing system is proposed. Besides studying the characteristics of these self assembled semigraphs, it had been identified that n+1 number of graphs are produced in self-assembling of any two n-cut spliced semigraph. To assemble more than two graphs at the same time, sequential selfassembling is introduced. The necessary and sufficient condition for a sequence of semigraphs not to selfassemble into a single semigraph in DNA splicing system is answered. The question of the existence of the self-assembled graph that connects all graphs in a given set of semigraphs is also discussed.