Structure induced by the open-closed moduli space of Riemann surfaces utilized by Zwiebach. Abstract: The moduli space of closed Riemann surfaces with parameterized inputs and outputs, which forms a PROP, can be used to define CSFT. Its geometry is known to "control" some structures in math. For example, R. Cohen and V. Godin showed how a graph model of this PROP formed by Sullivan chord diagrams acts geometrically on the free loop space of a closed oriented manifold giving, in particular, the structure of positive boundary TFT on its homology as well as the BV algebra structure of Chas and Sullivan. Another example is the cyclic version of Deligne's conjecture which says that the action of the homology of the genus 0 operad inside of the PROP on the Hochschild cohomolgy of an associative algebra with inner product (giving the BV structure) can be lifted to the level of chains. The purpose of this talk is to discuss the extension to an open-closed setting based on the moduli space of RS with boundary used by Zwiebach in his "Open-Closed Revisited". I will start by giving a complete description of the homology of the biggest genus 0 structure inside this 2-colored PROP. This is bigger than the genus 0 two-colored operad and is called a dioperad.