Right-angled Artin groups (RAAGs) and right-angled Coxeter groups (RACGs) associated with finite simple graphs are fundamental objects in geometric group theory. Their one-variable growth series with respect to the standard generating sets was classically expressed by Chiswell in terms of the one-variable independence polynomial of the defining graph with suitable substitutions. In this talk, I will tell you how to generalize this connection to the multivariate version. In particular, I will explain how to express the multivariate growth series of RAAGs and RACGs in terms of the multivariate independence polynomial of the underlying graph through suitable substitutions of variables. Our method is purely group theoretic, and at the end, we will see how to use our results to compute the growth series of these groups very explicitly for chordal graphs. This is a joint work with Chaithra Pilakkat.