This paper presents an analysis of entropy-based molecular descriptors. Specifically, we use real chemical structures, as well as synthetic isomeric structures, and investigate properties of and among descriptors with respect to the used data set by a statistical analysis. Our numerical results provide evidence that synthetic chemical structures are notably different to real chemical structures and, hence, should not be used to investigate molecular descriptors. Instead, an analysis based on real chemical structures is favorable. Further, we find strong hints that molecular descriptors can be partitioned into distinct classes capturing complementary information.

In this paper we derive entropy bounds for hierarchical networks. More precisely, starting from a recently introduced measure to determine the topological entropy of non-hierarchical networks, we provide bounds for estimating the entropy of hierarchical graphs. Apart from bounds to estimate the entropy of a single hierarchical graph, we see that the derived bounds can also be used for characterizing graph classes. Our contribution is an important extension to previous results about the entropy of non-hierarchical networks because for practical applications hierarchical networks are playing an important role in chemistry and biology. In addition to the derivation of the entropy bounds, we provide a numerical analysis for two special graph classes, rooted trees and generalized trees, and demonstrate hereby not only the computational feasibility of our method but also learn about its characteristics and interpretability with respect to data analysis.

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The Internet of services introduces new requirements for service engineering in terms of addressing both business and technical perspectives. The inherent complexity of the new wave of services that is emerging requires new approaches for an effective and efficient service design. In this chapter a novel service engineering framework is introduced: the Integrated Service Engineering (ISE) framework. With its ISE workbench, it can address the emerging requirements of Internet of services. The chapter presents the foundations on how the service engineering process can be conducted by applying the separation of concerns to model different service dimensions within various layers of abstraction. Additionally, three novel extensions are presented to the aforementioned ISE workbench in order to enrich the capabilities of the service modeling process.

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