TY - JOUR AU - Tadesse, Yohannes PY - 2015/12/14 Y2 - 2024/03/28 TI - Using Edge-Induced and Vertex-Induced Subhypergraph Polynomials JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 117 IS - 2 SE - Articles DO - 10.7146/math.scand.a-22864 UR - https://www.mscand.dk/article/view/22864 SP - 161-169 AB - For a hypergraph $\mathscr{H}$, we consider the edge-induced and vertex-induced subhypergraph polynomials and study their relation. We use this relation to prove that both polynomials are reconstructible, and to prove a theorem relating the Hilbert series of the Stanley-Reisner ring of the independent complex of $\mathscr{H}$ and the edge-induced subhypergraph polynomial. We also consider reconstruction of some algebraic invariants of $\mathscr{H}$. ER -