Laplacian Immanantal polynomials and the GTS poset on Trees

Mukesh Kumar Nagar, Sivaramakrishnan Sivasubramanian

Let $T$ be a tree on $n$ vertices with Laplacian $L_T$ and let $GT{S}_n$ be the generalized tree shift poset on the set of unlabelled trees on $n$ vertices. Inequalities are known fo…