Abstract—Comprehensive analyses that aim to better understand the topology of real world networks have been an important research challenge. Internet topology measurement studies provide samples of the underlying network at various levels. Although router-level Internet topology measurement systems target low level Internet infrastructure, they primarily focus on the Layer-3 connectivity and ignore the underlying multi-access links. In this paper, in addition to the thoroughly studied degree distribution, we analyze the subnet and interface distributions of major Internet topology datasets. We also investigate the impact of the higher granularity modeling at link level versus router level modeling. Our analysis establishes a foundation for the Layer-2 Internet topology generation and introduces the link layer characteristics into the network modeling. I.

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Abstract. Funding from the government agencies has been the driving force for the research and educational institutions particularly in the United States. The government funds billions of dollars every year to lead research initiatives that will shape the future. In this paper, we analyze the funds distributed by the United States National Science Foundation (NSF), a major source of academic research funding, to understand the collaboration patterns among researchers and institutions. Using complex network analysis, we interpret the collaboration patterns at researcher, institution, and state levels by constructing the corresponding networks based on the number of grants collaborated at different time frames. Additionally, we analyze these networks for small, medium, and large projects in order to observe collaboration at different funding levels. We further analyze the directorates to identify the differences in collaboration trends between disciplines. Sample networks can be found at