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The Strength of Weak Ties: A Network Theory Revisited
 Sociological Theory
, 1982
"... In this chapter I review empirical studies directly testing the ..."
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Cited by 482 (2 self)
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In this chapter I review empirical studies directly testing the
NeighborhoodBased Models for Social Networks
 Sociological Methodology
, 2002
"... Harrison White and several anonymous reviewers for valuable comments on the work. We argue that social networks can be modeled as the outcome of processes that occur in overlapping local regions of the network, termed local social neighborhoods. Each neighborhood is conceived as a possible site of i ..."
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Cited by 68 (5 self)
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Harrison White and several anonymous reviewers for valuable comments on the work. We argue that social networks can be modeled as the outcome of processes that occur in overlapping local regions of the network, termed local social neighborhoods. Each neighborhood is conceived as a possible site of interaction and corresponds to a subset of possible network ties. In this paper, we discuss hypotheses about the form of these neighborhoods, and we present two new and theoretically plausible ways in which neighborhoodbased models for networks can be constructed. In the first, we introduce the notion of a setting structure, a directly hypothesized (or observed) set of exogenous constraints on possible neighborhood forms. In the second, we propose higherorder neighborhoods that are generated, in part, by the outcome of interactive network processes themselves. Applications of both approaches to model construction are presented, and the developments are considered within a general conceptual framework of locale for social networks. We show how assumptions about neighborhoods can be cast within a hierarchy of increasingly complex models; these models represent a progressively greater capacity for network processes to “reach ” across a network through long cycles or semipaths. We argue that this class of models holds new promise for the development of empirically plausible models for networks and networkbased processes. 2 1.
Small and other worlds: Global network structures from local processes
 American Journal of Sociology
, 2005
"... Using simulation, we contrast global network structures—in particular, small world properties—with the local patterning that generates the network. We show how to simulate Markov graph distributions based on assumptions about simple local social processes. We examine the resulting global structures ..."
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Using simulation, we contrast global network structures—in particular, small world properties—with the local patterning that generates the network. We show how to simulate Markov graph distributions based on assumptions about simple local social processes. We examine the resulting global structures against appropriate Bernoulli graph distributions and provide examples of stochastic global “worlds, ” including small worlds, long path worlds, and nonclustered worlds with many fourcycles. In light of these results we suggest a locally specified social process that produces small world properties. In examining movement from structure to randomness, parameter scaling produces a phase transition at a “temperature ” where regular structures “melt ” into stochastically based counterparts. We provide examples of “frozen ” structures, including “caveman ” graphs, bipartite structures, and cyclic structures.
Bias reduction in traceroute sampling: Towards a more accurate map of the internet
 In Proceedings of the 5th Workshop on Algorithms and Models for the WebGraph (WAW2007
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Canonical analysis of the composition and structure of social networks
 In C. Clogg, editor, Sociological Methodology
, 1989
"... you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, noncommercial use. Please contact the publisher regarding any further use of this work. Publisher contact inform ..."
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you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, noncommercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at
Estimation of Diffusion Processes From Incomplete Data A Simulation Study
"... Eventhistory analysis of the diffusion of practices in a social system can show how actors are influenced by each other as well as by their own characteristics. The presumption that complete data on the entire population are essential to draw valid inferences about diffusion processes has been a ma ..."
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Eventhistory analysis of the diffusion of practices in a social system can show how actors are influenced by each other as well as by their own characteristics. The presumption that complete data on the entire population are essential to draw valid inferences about diffusion processes has been a major limitation in empirical analyses and has precluded diffusion studies in large populations. The authors examine the impacts of several forms of incomplete data on estimation of the heterogeneous diffusion model proposed by Strang and Tuma. Left censoring causes bias, but right censoring leads to no noteworthy problems. Extensive time aggregation biases estimates of intrinsic propensities but not crosscase influences. Importantly, random sampling can yield good results on diffusion processes if there are supplementary data on influential cases outside the sample. The capability of obtaining good estimates from sampled diffusion histories should help to advance research on diffusion.
Population size estimation and Internet link structure
"... Traceroute sampling is a common approach for exploring the autonomous system (AS) graph of the Internet. It provides samples of links between autonomous systems, but these links are not drawn uniformly at random from all possible links. Rather, the rules that each AS uses are idiosyncratic and emerg ..."
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Traceroute sampling is a common approach for exploring the autonomous system (AS) graph of the Internet. It provides samples of links between autonomous systems, but these links are not drawn uniformly at random from all possible links. Rather, the rules that each AS uses are idiosyncratic and emergent. Here, we are interested in using the data from traceroute sampling to estimate the degree distribution of the network, a quantity of common interest in network modeling more broadly. We link these ideas to the methodology of multiplerecapture estimation of the size of a closed population using loglinear models. We apply our approach to produce new estimates of the degree distribution of the AS graph, and to provide further evidence that the degree distribution does indeed have heavy tails. 1
The Structure of Undergraduate Association Networks: A Quantitative Ethnography
"... The challenge of collecting complete associational networks has restricted network studies to small datasets. To deal with larger processes, two general procedures have been developed: the use of indicators such as citation structures or the diffusion of innovations to model human interactions, and ..."
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The challenge of collecting complete associational networks has restricted network studies to small datasets. To deal with larger processes, two general procedures have been developed: the use of indicators such as citation structures or the diffusion of innovations to model human interactions, and limiting the sample of associates ' names. A body of theoretical and empirical work has identified several problems with these methods. We examine a unique solution to these problems—measuring online social networks of college students. In this paper we present an original network dataset of undergraduate Facebook users and demonstrate the feasibility and acceptability of this form of measurement. We conclude with a preliminary exploration of Network Homophily and Multiplexity on Facebook.