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CCNA Study Guide: Network Topologies
The simulations and the respective analysis prove by contraposition that the diffusion dynamics of networks are not independent of the underlying network topology for CCNA study guide.
Our results prove that, ceteris paribus, the diffusion dynamics are much faster in scale-free networks than in both other topologies. A comparison of scale-free networks and small-world networks reveals that small world networks propagated quicker under the given parameters, whereas after the third period diffusions in scale-free networks are much faster than in small-world networks. The respective hypothesis is validated with a prove by contraposition as the findings falsify the hypothesis that diffusion processes are identical in all network topologies.
Applied to software markets, this implies that varying network topologies of complex customer networks have an impact on the adoption and diffusion behavior in customer networks of companies operating in software markets. This, in turn, is a decisive insight for understanding network effects in software markets in order to enhance a customer network-centric valuation approach for software markets.
Accordingly, it is important to consider network topologies for valuations of software companies. Hence, a respective analysis, e.g., based on the adoption and diffusion simulator, should be integrated into the framework for valuation in software markets. After investigations of the general relevance of network topologies, the following analysis focuses on the scaling properties that is important part of CCNA study guide.
Scaling Properties of Complex Customer Networks
Previous research revealed the relevance of network topologies for diffusions in complex networks, e.g., complex customer networks. In this section, scaling properties of customer networks are the focus of our investigations. These are conducted as follows. First, the hypothesis is derived and the underlying motivation is explained. Then, the hypothesis is investigated in an analysis based on complementary investigations and simulations. A reconsideration of the most important findings with respect to this hypothesis concludes this section.
Hypothesis on Scaling Properties of Complex Customer Networks
The previous investigations revealed the relevance of network topologies. Therefore, it is possible to consider respective complex network approaches. A popular complex networks approach is to model phenomena and to investigate them with respective simulations, e.g.. if full-scale models of large-scale networks cannot be designed due to computational limitations.
However, it is important to note for CCNA certification study guide, that such an approach requires that networks are invariant to scaling. This invariance to scaling would allow one upscaling, e.g., to increase the size of the customer networks in order to study their growth processes, as well as down scaling, i.e., creating size-reduced models of large scale real-world networks. Initial research efforts suggest that the scale of the network does not have an impact on the properties and dynamics of networks, but the respective hypotheses are not proven .
Based on this suggestion, we formulate the hypothesis that relevant properties and dynamics of customer networks in software markets are invariant to scaling.