We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to ϕ3 theory and compute the β function, the wave function anomalous dimension as well as the mass anomalous dimension in the MS scheme to five-loops. From the results we derive the corresponding renormalization group functions for the Lee-Yang edge singularity problem and percolation theory. After determining the ϵ expansions of the respective critical exponents to O (ϵ5) we apply recent resummation technology to obtain improved exponent estimates in three, four and five dimensions. These compare favorably with estimates from fixed dimension numerical techniques and refine the four loop results. To assist with this comparison we collated a substantial amount of data from numerical techniques which are included in tables for each exponent.