A drawing algorithm for planar cell-complexes under a given `flow condition'

Abstract

A planar cell-complex is a 2-dimensional cell-complex which can be drawn on a planar surface.If a given planar cell-complex can be drawn on a 2-dimensional space $\mathbb{X}$ under a givn \lq flow-condition $F$\ q,we say the cell-complex has a $(F,\mathbb{X})$-realization.In this paper we show an algorithm to solve the problem of $(F,\mathbb{X})$-realizations.