Outerplanar Tur\'{a}n numbers of cycles and paths

A graph is outerplanar if it can be embedded in a plane such that all vertices lie on its outer face. The outerplanar Turán number of a given graph H, denoted by exOP(n,H), is the maximum number of edges over all outerplanar graphs on n vertices which do not contain a copy of H. In this paper, the outerplanar Turán numbers of cycles and paths are completely determined.

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