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Degree and Eigenvector Centrality
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Date of download: 11/12/2017 Copyright © ASME. All rights reserved. From: Analysis of Collaborative Design Networks: A Case Study of OpenIDEO J. Comput. Inf. Sci. Eng. 2014;14(2):021009-021009-8. doi:10.1115/1.4026510 Figure Legend: The concept graphs have higher diameter (b) and lower density (c) than the social graphs, despite roughly equivalent network sizes (a). This is possible due to small levels of clustering within the concept graph, and the fact that the social graph has certain mechanisms built in that reduce the graph diameter (see Sec. 4). The concept graph exhibits low centralization (e) and low global efficiency (f), while the social graph exhibits medium centralization and low efficiency. In both cases, higher efficiency would be more advantageous in order to ease transfer of ideas and feedback, respectively. Figure 1 provides some visual intuition behind these results.

Date of download: 11/12/2017 Copyright © ASME. All rights reserved. From: Analysis of Collaborative Design Networks: A Case Study of OpenIDEO J. Comput. Inf. Sci. Eng. 2014;14(2):021009-021009-8. doi:10.1115/1.4026510 Figure Legend: Degree complementary cumulative distribution functions for the largest connected component of different types of Open IDEO networks. Each line corresponds to a different challenge. Both types of networks are generally power-law distributed.

Date of download: 11/12/2017 Copyright © ASME. All rights reserved. From: Analysis of Collaborative Design Networks: A Case Study of OpenIDEO J. Comput. Inf. Sci. Eng. 2014;14(2):021009-021009-8. doi:10.1115/1.4026510 Figure Legend: Unlike most social networks, the OpenIDEO social graph appears negatively assortative (disassortative) by degree, rather than positively assortative. This means that members with high degree (lots of communication) talk more with those with low degree, rather than with others of high degree. This style of communication is highly atypical of most social networks. It reduces the diameter of the network and increases the fraction of the members in the largest graph component. The concept graph appears neither assortative nor disassortative.

Date of download: 11/12/2017 Copyright © ASME. All rights reserved. From: Analysis of Collaborative Design Networks: A Case Study of OpenIDEO J. Comput. Inf. Sci. Eng. 2014;14(2):021009-021009-8. doi:10.1115/1.4026510 Figure Legend: Boxplots of the number of communities detected using the k-Clique Percolation Method, for different values of k in both the concept (a) and social graphs (b) [14]. The concept graphs have a high number of small communities, while the social graphs have only a few communities that are significantly more connected. This reinforces the visual data in.

Date of download: 11/12/2017 Copyright © ASME. All rights reserved. From: Analysis of Collaborative Design Networks: A Case Study of OpenIDEO J. Comput. Inf. Sci. Eng. 2014;14(2):021009-021009-8. doi:10.1115/1.4026510 Figure Legend: Visualizing the communities created using the k-Clique Percolation Method, for different values of k in both the social and concept graphs [14]. This uses the networks from challenge 10 as a representative example. Colored sub-graphs represent nodes within a given community, and red nodes represent nodes in multiple communities. For the concept graphs (a)–(c), multiple, non-overlapping communities are present at different community scales (k = [3,5]). However, for the social graphs there is generally only a single core community—any additional communities tend to be heavily overlapping (e.g., the red nodes in (f).

Date of download: 11/12/2017 Copyright © ASME. All rights reserved. From: Analysis of Collaborative Design Networks: A Case Study of OpenIDEO J. Comput. Inf. Sci. Eng. 2014;14(2):021009-021009-8. doi:10.1115/1.4026510 Figure Legend: Removing OpenIDEO community managers from the social graph (“Social w/o CM”), we see some noticeable, but small changes: the centralization of the network decreases and the assortativity increases. The general behaviors we described above are unlikely to be caused exclusively by existing OpenIDEO community managers.