@article {15176, title = {Distribution of Coefficients of Rank Polynomials for Random Sparse Graphs}, journal = {The Electronic Journal of Combinatorics}, volume = {25}, year = {2018}, abstract = {We study the distribution of coefficients of rank polynomials of random sparse graphs. We first discuss the limiting distribution for general graph sequences that converge in the sense of Benjamini-Schramm. Then we compute the limiting distribution and Newton polygons of the coefficients of the rank polynomial of random -regular graphs.}, author = {Dmitry Jakobson and Calum MacRury and Sergey Norin and Lise Turner} }