Geodesic based centrality: Unifying the local and the global

A variety of node-level centrality measures, including purely structural measures (such as degree and closeness centrality) and measures incorporating characteristics of actors (such as the Blau's measure of heterogeneity) have been developed to measure a person's access to resources held by others. Each of these node-level measures can be placed on a continuum depending on whether they focus only on ego's direct contacts (e.g. degree centrality and Blau's measure of heterogeneity), or whether they also incorporate connections to others at longer distances in the network (e.g. closeness centrality or betweenness centrality). In this paper we propose generalized measures, where a tuning parameter δ regulates the relative impact of resources held by more close versus more distant others. We first show how, when a specific δ is chosen degree-centrality and reciprocal closeness centrality are two specific instances of this more general measure. We then demonstrate how a similar approach can be applied to node-level measures that incorporate attributes. When more or less weight is given to other nodes at longer distances with specific characteristics, a generalized measure of resource-richness and a generalized measure for diversity among one's connections can be obtained (following Blau's measure of heterogeneity). Finally, we show how this approach can also be applied to betweenness centrality to focus on more local (ego) betweenness or global (Freeman) betweenness. The importance of the choice of δ is illustrated on some classic network datasets.     

Patterns of sociolinguistic variation in teacher classroom speech

This study investigates sociolinguistic variation in teacher classroom speech. Based on a spoken‐French corpus produced by 59 teachers while teaching secondary school students (aged approximately 14–17 years) in four Ontario localities, it examines five cases of variant alternations. First, the study uses two comparative corpora to establish the social marking of the variants in the wider community. Second, it examines the teachers’ repertoire and frequency of use of variants in light of their social markedness. The study shows that the teachers use the standard variants at rates above even those found in the speech of the highest social strata within the wider community. Despite this normalizing impact of the classroom, the teachers also use all the non‐standard variants found in the wider community. Further, the study examines the impact on the teachers’ variant choice exerted by their socio‐professional characteristics and the communicative functions they perform in the classroom. It shows that the teachers’ use of variants is influenced by their gender, the subject taught, and the communicative functions performed in the classroom in ways that are in line with the social markedness of the variants in the wider community.     

Dictator game variants with probabilistic (and cost-saving) payoffs: A systematic test

Driven by methodological concerns, theoretical considerations, and previous evidence, I systematically test the validity of common dictator game variants with probabilistic payoffs. Using a unified experimental framework, I include four approaches and compare them to a standard dictator game: involving fewer receivers than dictators, paying only some players, paying only some decisions, and role uncertainty. I also relate transfers in the dictator game variants to established complementary individual difference measures of prosociality: social value orientation, personal values, a donation to charity, and the Big Five personality factor agreeableness. My data shows that the standard dictator game presents the expected correlations with the complementary measures of prosociality. Involving fewer receivers yields comparably valid results. By contrast, when only some players or decisions are paid or, particularly, when subjects face role uncertainty, the expected associations with complementary prosociality measures are distorted. Under role uncertainty, generosity is also significantly biased upward. I conclude that the validity of dictator game outcomes is highly sensitive to the applied methods. Not all dictator game variants can be recommended for the valid measurement of social preferences.     

Language variation on Internet Relay Chat: A social network approach

This paper examines linguistic variation on an Internet Relay Chat channel with respect to the hypothesis, based on the model of Milroy and Milroy (1992), that standard variants tend to be associated with weak social network ties, while vernacular variants are associated with strong network ties. An analysis of frequency of contact as a measure of tie strength reveals a structured relationship between tie strength and several linguistic variants. However, the variant features are associated with social positions in a way that does not correlate neatly with tie strength. An account of these results is proposed in terms of the social functions of the different variables and the larger social context of IRC affecting tie strength.     

Resistance distance,closeness, and betweenness

In a seminal paper Stephenson and Zelen (1989) rethought centrality in networks proposing an information-theoretic distance measure among nodes in a network. The suggested information distance diverges from the classical geodesic metric since it is sensible to all paths (not just to the shortest ones) and it diminishes as soon as there are more routes between a pair of nodes. Interestingly, information distance has a clear interpretation in electrical network theory that was missed by the proposing authors. When a fixed resistor is imagined on each edge of the graph, information distance, known as resistance distance in this context, corresponds to the effective resistance between two nodes when a battery is connected across them. Here, we review resistance distance, showing once again, with a simple proof, that it matches information distance. Hence, we interpret both current-flow closeness and current-flow betweenness centrality in terms of resistance distance. We show that this interpretation has semantic, theoretical, and computational benefits.     

The structure of global centrality measures

The aim of this article is to identify and analyse the logic and structure of centrality measures applied to social networks. On the basis of the article by Borgatti and Everett, identifying the latent functions of centrality, we first use a survey of personal networks with 450 cases to perform an empirical study of the differences and correspondences between degree, closeness and betweenness centrality in personal networks. Then, we examine the correspondences between the three global indicators in each type of centrality: the maximum value, the mean value and the hierarchy or centralization. The results provide a better understanding of the centrality indicators of networks and the reality that they express in an empirical context.     

Betweenness computation in the single graph representation of hypergraphs

Many real-world social networks are hypergraphs because they either explicitly support membership in groups or implicitly include communities. We present the HyperBC algorithm that exactly computes betweenness centrality (or BC) in hypergraphs. The forward phase of HyperBC and the backpropagation phase are specifically tailored for BC computation on hypergraphs. In addition, we present an efficient method for pruning networks through the notion of “non-bridging” vertices. We experimentally evaluate our algorithm on a variety of real and artificial networks and show that it significantly speeds up the computation of BC on both real and artificial hypergraphs, while at the same time, being very memory efficient.     

Networks and collective action

This paper proposes a new measure for a group's ability to lead society to adopt their standard of behavior, which in particular takes account of the time the group takes to convince the whole society to adopt their position. This notion of a group's power to initiate action is computed as the reciprocal of the resistance against it, which is in turn given by the expected absorption time of a related finite state partial Markov chain that captures the social dynamics. The measure is applicable and meaningful in a variety of models where interaction between agents is formalized through (weighted) binary relations. Using Percolation Theory, it is shown that the group power is monotonic as a function of groups of agents. We also explain the differences between our measure and those discussed in the literature on Graph Theory, and illustrate all these concerns by a thorough analysis of two particular cases: the Wolfe Primate Data and the 11S hijackers’ network.     

Historicizing diaglossia

Auer (2005, 2011) presents a typology of present‐day dialect/standard constellations in Europe, thereby reintroducing the concept of diaglossia, which refers to a situation with intermediate variants between dialect and standard. Characterizing the sociolinguistic landscape in many languages in Europe today, diaglossia is assumed to be a relatively recent phenomenon dating back to the late nineteenth or early twentieth century, following a previous stage of diglossia. Drawing on a range of case studies of post‐Medieval English, German and Dutch, this article argues that the sociolinguistic situation in the Early and Late Modern period cannot be described in terms of diglossia, and is characterized by a ubiquity of intermediate variants instead, that is, by diaglossia. This means that diaglossia should be extended much farther back in time and is not a recent development following a state of diglossia.     

A tipping point in dialect obsolescence? Change across the generations in Lerwick,Shetland1

The dialect spoken in the Shetland Islands is one of the most distinctive in the British Isles. However, there are claims that this variety is rapidly disappearing, with local forms replaced by more standard variants in the younger generations. In this paper we test these claims through a quantitative analysis of variable forms across three generations of speakers from the main town of Lerwick. We target six variables: two lexical, two morphosyntactic and two phonetic/phonological. Our results show that there is decline in use of the local forms across all six variables. Closer analysis of individual use reveals that the older age cohort form a linguistically homogeneous group. In contrast, the younger speakers form a heterogeneous group: half of the younger speakers have high rates of the local forms, while the other half uses the standard variants near‐categorically. We suggest that these results may pinpoint the locus of rapid obsolescence in this traditionally relic dialect area.     

Variation in the English definite article: Socio‐historical linguistics in t'speech community1

This paper provides a sociolinguistic analysis of variation in the English definite article, a.k.a. definite article reduction (DAR), in the city of York, northeast Yorkshire, England. Embedding the analysis in historical, dialectological and contemporary studies of this phenomenon, the findings uncover a rich system of variability between the standard forms as well as reduced and zero variants. These are involved in a system of multicausal constraints, phonological, grammatical, and discourse‐pragmatic that are consistent across the speech community. However, the reduced variants are not derivative of each other, but reflect contrasting functions in the system. Interestingly, the reduced variants are accelerating in use among the young men, suggesting that DAR is being recycled as an identity marker of the local vernacular. This change is put in sociohistorical context by an appeal to the recently developing interest and evolving prestige of Northern Englishes more generally.     

Bridging,brokerage and betweenness

Valente and Fujimoto (2010) proposed a measure of brokerage in networks based on Granovetter's classic work on the strength of weak ties. Their paper identified the need for finding node-based measures of brokerage that consider the entire network structure, not just a node's local environment. The measures they propose, aggregating the average change in cohesion for a node's links, has several limitations. In this paper we review their method and show how the idea can be modified by using betweenness centrality as an underpinning concept. We explore the properties of the new method and provide point, normalized, and network level variations. This new approach has two advantages, first it provides a more robust means to normalize the measure to control for network size, and second, the modified measure is computationally less demanding making it applicable to larger networks.     

Latent classes and group membership

A technique for analyzing group membership data, such as interlocking directorates, based on the assumption of latent classes of individuals, is described and illustrated with two data sets. The technique partitions individuals and/or groups into homogeneous sets and can be used to create measures of structural centrality for groups and for individuals.     

New frontiers facing urban sociology at the Millennium

The article examines some of the major challenges facing urban sociology at century's end given its traditions and lineages. These challenges arise out of the intersection of major macrosocial trends and their particular spatial patterns. The city and the metropolitan region emerge as one of the strategic sites where these macrosocial trends materialize and hence can be constituted as an object of study. Among these trends are globalization and the rise of the new information technologies, the intensifying of transnational and translocal dynamics, and the strengthening presence and voice of specific types of socio‐cultural diversity. Each one of these trends has its own specific conditionalities, contents and consequences for cities, and for theory and research. Cities are also sites where each of these trends interacts with the others in distinct, often complex manners, in a way they do not in just about any other setting. The city emerges once again as a strategic lens for the study of major macrosocial transformations as it was in the origins of sociology. Can urban sociology address these challenges and in so doing once again produce some of the analytic tools for understanding the broader transformation?     

The Impact of Gender and Marital Status on Attitudes and Responses to Unemployment

The study examined differences in job search intensity, attitudes toward unemployment, and related responses among a sample of Israelis, based on gender and marital status (single vs. married). The findings indicate that gender-based differences were greater than those based on marital status. Regarding the impact of gender, women were more likely than men to reject jobs because of conflict with family responsibilities or unsuitable working conditions. Both men and women mentioned gender atypical characteristics of occupations as a reason for rejecting employement, although this tendency was especially prevalent among married women. Women also reported more stress reactions and decline in health as an outcome of unemployment. Regarding the impact of marital status, married men tended to seek jobs more intensively than respondents in the other research groups. Single respondents of both sexes were more likely than their married counterparts to view unemployment as a personal advantage because it gives them more time to themselves. Moreover, married respondents of both sexes were more likely to reject job offers because of conflict with family responsibilities or unsuitable working conditions. In light of the findings, practical recommendations for counselors are provided.     

A small world on feet of clay? A comparison of empirical small-world studies against best-practice criteria

Small-world studies were introduced by Milgram and others in the 1960s and 1970s. These studies, and a majority of variants conducted by others, display a number of methodological weaknesses that bias their results. While no explicit methodological standard exists for these studies, here I derive a number of best-practice criteria for small-world studies by pointing out mistakes of previous studies, and by applying methodological standards from other empirical research areas. Improving the methodology of letter referral studies is important, because such studies could still be useful in a number of contexts today, especially for the exploration of factors affecting targeted search processes.     

A General Social Survey Experiment in Generic Words

This paper analyses a question wording experiment from the 1980General Social Survey. The experiment used two variants of aseries of items that asked for evaluations of qualities forchildren. The experimental variation used the noun "child" consistently;the standard variation used the pronoun "he" and the noun "child."There were no differences between the two wordings in the waythe traits were evaluated. The lack of a question wording effectcan be partly attributed to the fact that both wordings arebiased in favor of males. Question wording interacted with respondentsex in affecting the sex of the child that respondents claimedto be considering when answering the trait items.     

The degree variance: An index of graph heterogeneity

In the analysis of empirically found graphs, the variance of the degrees can be used as a measure for the heterogeneity of (the points in) the graph. For several types of graphs, the maximum value of the degree variance is given, and the mean and variance of the degree variance under a simple stochastic null model are computed. These are used to produce normalized versions of the degree variance, which can be used as heterogeneity indices of graphs.     

Copula variation in Asturian Spanish and the multidimensionality of stancetaking in interaction

In this study, I analyze the relationship between stance, style and sociolinguistic variation in a situation of language contact between Asturian and Spanish in the urban areas of Asturias (Spain). Using different types of data, and a triangulation of quantitative and qualitative methods, I explore the interactional functions of Asturian ‘ye’ (‘he/she/it is’), a salient marker of Asturian identity, and how the stances indexed by this form – low epistemic commitment, lack of seriousness and social solidarity – are connected to more enduring social identities. In the analysis, I provide a possible operationalization of stances that takes into consideration the multidimensionality of the stancetaking process. I also show how examining stance can provide a tool to move beyond monolithic representations of social meaning, and dichotomous distinctions between standard and non‐standard variants.     

The learning of spoken French variation by immersion students from Toronto, Canada

This study on the learning of sociolinguistic variants by 41 adolescents from a French immersion program in Toronto, Canada, synthesizes the findings of our research on this topic. This article provides answers to the following questions. First, do the immersion students use the same range of sociolinguistic variants as do speakers of Quebec French, who are used in our research as a first language (L1) benchmark? Second, do they use variants with the same discursive frequency as do L1 speakers? Third, is their use of variants correlated with the same linguistic constraints observable in L1 speech? Finally, what are the independent variables influencing their learning of variants, for example: treatment of variants by immersion teachers and authors of French language arts materials used in immersion programs; interactions with L1 speakers; influence of the students' L1(s); influence of intra‐systemic factors – markedness of variants; and influence of the students' social characteristics – social standing, sex?