We study the closure of the cubic Principal Hyperbolic Domain and its intersection 𝒫λ with the slice ℱλ of the space of all cubic polynomials with fixed point 0 defined by the multiplier λ at 0. We ...

Abstract. Let 𝐼(𝐺;𝑥) denote the independence polynomial of a graph 𝐺. In this paper we study the unimodality properties of 𝐼(𝐺;𝑥) for some composite graphs 𝐺. Given two graphs 𝐺₁ and 𝐺₂, let ...

Abstract: We propose a novel method to robustly and efficiently compute the maximum allowable step sizes so that the 3D high-order finite elements continuously preserve geometric validity when moving ...