Background: There are two different theories about the development of the genetic code. Woese suggested that it was developed in connection with the amino acid repertoire, while C...
Given a connected graph, X, we denote by 2 = 2(X) its smallest non-zero Laplacian eigenvalue. In this paper we show that among all sets of n - 1 transpositions which generate the ...
Let G = (V, E) be a connected undirected graph and S a subset of vertices. If for all vertices v V , the sets Br(v) S are all nonempty and different, where Br(v) denotes the set...
Let ^G be a graph obtained from a graph G with no loops or coloops by replacing each edge e = uw of G by a connected graph He that has only the vertices u and w in common with the...
The purpose of this paper is to show connections between iterated length-preserving rational transductions and linear space computations. Hence, we study the smallest family of tr...