This work is inspired by a paper of Hertel and Pott on maximum non-linear functions [8]. Geometrically, these functions correspond with quasi-quadrics; objects introduced in [5]. ...
Abstract. The kissing number in n-dimensional Euclidean space is the maximal number of non-overlapping unit spheres which simultaneously can touch a central unit sphere. Bachoc and...
We show that the number of t-ary trees with path length equal to p is t h(t-1) tp log2 p(1+o(1)) , where h(x)=-x log2 x-(1-x) log2(1-x) is the binary entropy function. Besides its...
We consider metric results for the asymptotic behavior of the number of solutions of Diophantine approximation inequalities with restricted denominators for Laurent formal power s...
We show that the number of k-matching in a given undirected graph G is equal to the number of perfect matching of the corresponding graph Gk on an even number of vertices divided ...