科研之友
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摘要
Polypeptides are programmable natural polymers, which can be self-assembled into ordered nanostructures. The stable trace and strong trace have been introduced in [17] and [19], respectively, to provide the underlying mathematical model for self-assembly of polypeptide nanostructures. In this paper, we introduce the E-1-antiparallel strong trace of a graph G = (V, E), which is a strong trace of G with only the edges of E-1 subset of E are traversed in the opposite direction. Given a graph G and its edge subset E-1, the main purpose of the paper is to consider under which conditions G has an E-1-antiparallel strong trace, and we solve it in the case that E-1 is an independent edge set, E-1 induces a path and E-1 induces a cycle of G, respectively. Furthermore, we discuss the molecular design of polypeptide nanostructures based on almost parallel strong trace model.
