On the distance spectrum and distance energy of complement of subgroup graphs of dihedral group

Let G is a connected simple graph and V(G) = {v1, v2, ..., vp} is vertex set of G. The distance matrix of G is a matrix D(G) = [d ij ] of order p where [d ij ] = d(v i , v j ) is distance between v i and v j in G. The set of all eigenvalues of matrix D(G) together with their corresponding multiplicities is named the distance spectrum of G and denoted by spec D (G). The distance energy of G is ${E}_{D}(G)={\sum }_{i=1}^{p}|{\lambda }_{i}|$, where λi are eigenvalues of D(G). In the recent paper, the distance spectrum and distance energy of complement of subgroup graphs of dihedral group are determined

The Web KnowARR Framework: Orchestrating Computational Intelligence with Graph Databases

This chapter presents fuzzy cognitive maps (FCM) as a vehicle for Web knowledge aggregation, representation, and reasoning. The corresponding Web KnowARR framework incorporates findings from fuzzy logic. To this end, a first emphasis is particularly on the Web KnowARR framework along with a stakeholder management use case to illustrate the framework’s usefulness as a second focal point. This management form is to help projects to acceptance and assertiveness where claims for company decisions are actively involved in the management process. Stakeholder maps visually (re-) present these claims. On one hand, they resort to non-public content and on the other they resort to content that is available to the public (mostly on the Web). The Semantic Web offers opportunities not only to present public content descriptively but also to show relationships. The proposed framework can serve as the basis for the public content of stakeholder maps