21 citations · 41 across the 11 of their papers we have counts for
5 papers · 1 filter
A new construction of wavelet sets
Eugen J. Ionascu
A new method of connecting two wavelet sets with a continuous path of wavelet sets is given. The method is based on a pure set theoretic fact known as the Schroder-Cantor-Bernstein…
Simultaneous Translational and Multiplicative Tiling and Wavelet Sets in R^2
Eugen J. Ionascu, Yang Wang
Simultaneous tiling for several different translational sets has been studied rather extensively, particularly in connection with the Steinhaus problem. The study of orthonormal wa…
Heron triangles with two fixed sides
Eugen J. Ionascu, Florian Luca, Pantelimon Stanica
In this paper, we study the function , which associates to every pair of positive integers and the number of positive integers such that the triangle of sides $…
-Dependence and Domination in Kings Graphs
Eugen J. Ionascu, Dan Pritikin, Stephen E. Wright
We study k-dependence and half domination problems for king's graphs in dimension n (n>1). Various sharp bounds are provided and a few conjectures are formulated in the cases the e…
A parametrization of equilateral triangles having integer coordinates
Eugen J. Ionascu
We study the existence of equilateral triangles of given side lengths and with integer coordinates in dimension three. We show that such a triangle exists if and only if their side…