a connected graph g is said to be neighbourly irregular graph if no two adjacent vertices of g have same degree. in this paper we obtain neighbourly irregular derived graphs such as semitotal-point graph, k^{tℎ} semitotal-point graph, semitotal-line graph, paraline graph, quasi-total graph and quasivertex-total graph and also neighbourly irregular of some graph products.

it is necessary to generate the automorphism group of a chemical graph in computer-aidedstructure elucidation. an euclidean graph associated with a molecule is defined by a weightedgraph with adjacency matrix m = [dij], where for i≠j, dij is the euclidean distance between thenuclei i and j. in this matrix dii can be taken as zero if all the nuclei are equivalent. otherwise,one may introduce dif...

in this paper, we introduce the notions of product vague graph, balanced product vague graph, irregularity and total irregularity of any irregular vague graphs and some results are presented. also, density and balanced irregular vague graphs are discussed and some of their properties are established. finally we give an application of vague digraphs.

A user-centred design approach in combination with a tool-supported development of abstract prototypes is proposed. Based on task, object and user models an editor for modelling the navigation structure of a user interface as a dialogue graph is demonstrated. This editor is based on the XIML technology and allows simulations considering temporal relations between task and design decisions for t...

Let G(V;E) be a graph. The common neighborhood graph (congraph) of G is a graph with vertex set V , in which two vertices are adjacent if and only if they have a common neighbor in G. In this paper, we obtain characteristics of congraphs under graph operations; Graph :::::union:::::, Graph cartesian product, Graph tensor product, and Graph join, and relations between Cayley graphs and its c...

Androcentric thinking assumes maleness to be normative and attributes gender differences to females. A content analysis of articles reporting gender differences published between 1965 and 2004 in four American Psychological Association journals examined androcentric pronouns, explanations, and tables and graphs. Few articles used generic masculine pronouns to refer to both women and men. Howeve...

Service-based architectures have become commonplace, creating the need to address their systematic maintenance and evolution. We investigate architecture change representation, primarily focusing on the identification of change patterns that support the potential reuse of common changes in architecture-centric evolution for service software. We propose to exploit architecture change logs captur...

0. Introduction. In this paper we will establish the convergence to Brownian motion of a random walk in a symmetric random environment in a critical case that has not been covered by the papers [1, 3]. We begin by recalling the “random conductance model” (RCM). We consider the Euclidean lattice Z with d ≥ 2. Let Ed be the set of nonoriented nearest neighbour bonds, and, writing e = {x, y} ∈ Ed ...

Recommender systems automate the process of recommending products and services to customers based on various types of data including customer demographics, product features, and, most importantly, previous interactions between customers and products (e.g., purchasing, rating, and catalog browsing). Despite significant research progress and growing acceptance in real-world applications, two majo...