Abstract— Given a wireless ad hoc network and an endto-end traffic pattern, the power rate function refers to the minimum total power required to support different throughput un...
An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
A simple characterization of the 3, 4, or 5-colorable Eulerian triangulations of the projective plane is given. Key words: Projective plane, triangulation, coloring, Eulerian grap...
An acyclic vertex coloring of a graph is a proper vertex coloring such that there are no bichromatic cycles. The acyclic chromatic number of G, denoted ...
We compare the expressive power on finite models of two extensions of first order logic L with equality. L(Ct) is formed by adding an operator count{x : ϕ}, which builds a term ...