‎‎Let $G=(V‎, ‎E)$ be a simple graph with vertex set $V$ and edge set $E$‎. ‎A {em mixed Roman dominating function} (MRDF) of $G$ is a function $f:Vcup Erightarrow {0,1,2}$ satisfying the condition that every element $xin Vcup E$ for which $f(x)=0$ is adjacent‎‎or incident to at least one element $yin Vcup E$ for which $f(y)=2$‎. ‎The weight of an‎‎MRDF $f$ is $sum _{xin Vcup E} f(x)$‎. ‎The mi...

Business-to-business (B2B) e-commerce has become an important initiative among firms in the last few years. This study is based on data derived from over 20 interviews with CEOs, CIOs, and MIS managers in electronics and textile companies in Taiwan. This study contributes to existing literature by describing the degree to which various organizational, industrial, governmental and cultural facto...

Some research perspectives in nonlinear functional analysis BIAGIO RICCERI The object of this lecture is to propose a series of conjectures and problems in different fields of analysis. They have been formulated with the aim of introducing some innovative methods in the study of classical topics, as open mappings, fixed points, critical points, global minima, control theory. We start recalling ...

The set of Clifford bundles of bounded geometry over open manifolds can be endowed with a metrizable uniform structure. For one fixed bundle E we define the generalized component gen comp(E) as the set of Clifford bundles E′ which have finite distance to E. If D, D′ are the associated generalized Dirac operators, we prove for the pair (D,D′) relative index theorems, define relative ζ– and η– fu...

In this article we are interested in the following problem: to find a map u : Ω → R that satisfies { Du ∈ E a.e. in Ω u(x) = φ(x) x ∈ ∂Ω where Ω is an open set of R and E is a compact isotropic set of R2×2. We will show an existence theorem under suitable hypotheses on φ. Mathematics Subject Classification. 34A60, 35F30, 52A30. Received May 14, 2004.

In this paper we study the partial regularity of a functional on BV space proposed by Chambolle and Lions [3] for the purposes of image restoration. The functional is designed to smooth corrupted images using isotropic diffusion via the Laplacian where the gradients of the image are below a certain threshold and retain edges where gradients are above the threshold using the total variation. Her...

let z2 = {0, 1} and g = (v ,e) be a graph. a labeling f : v → z2 induces an edge labeling f* : e →z2 defined by f*(uv) = f(u).f (v). for i ε z2 let vf (i) = v(i) = card{v ε v : f(v) = i} and ef (i) = e(i) = {e ε e : f*(e) = i}. a labeling f is said to be vertex-friendly if | v(0) − v(1) |≤ 1. the vertex balance index set is defined by {| ef (0) − ef (1) | : f is vertex-friendly}. in this paper ...