Graph and semigroup homomorphisms on networks of relations

The algebraic definitions presented here are motivated by our search for an adequate formalization of the concepts of social roles as regularities in social network patterns. The theorems represent significant homomorphic reductions of social networks which are possible using these definitions to capture the role structure of a network. The concepts build directly on the pioneering work of S.F. Nadel (1957) and the pathbreaking approach to blockmodeling introduced by Lorrain and White (1971) and refined in subsequent years (White, Boorman and Breiger 1976;Boorman and White 1976; Arabie, Boorman and Levitt, 1978; Sailer, 1978).Blockmodeling is one of the predominant techniques for deriving structural models of social networks. When a network is represented by a directed multigraph, a blockmodel of the multigraph can be characterized as mapping points and edges onto their images in a reduced multigraph. The relations in a network or multigraph can also be composed to form a semigroup.In the first part of the paper we examine “graph” homomorphisms, or homomorphic mappings of the points or actors in a network. A family of basic concepts of role equivalence are introduced, and theorems presented to show the structure preserving properties of their various induced homomorphisms. This extends the “classic” approach to blockmodeling via the equivalence of positions.Lorrain and White (1971), Pattison (1980), Boyd, 1980, Boyd, 1982, and most recently Bonacich (1982) have explored the topic taken up in the second part of this paper, namely the homomorphic reduction of the semigroup of relations on a network, and the relation between semigroup and graph homomorphisms. Our approach allows us a significant beginning in reducing the complexity of a multigraph by collapsing relations which play a similar “role” in the network.     

Role similarity and complexity in social networks

A new concept of role similarity is presented; this definition is a generalisation of structural equivalence but is stricter than the idea of regular equivalence of White and Reitz (1983). This new definition forms a standard part of graph theory literature and as such has been well researched. Consequently a complexity measure first proposed by Mowshowitz, 1968a, Mowshowitz, 1968b, Mowshowitz, 1968c can be given a definite meaning in terms of network concepts. A new measure of structural complexity based on role similarity is also introduced.     

An analysis of cyclically dense data using EBLOC

Everett (1982a) has proposed a graph theoretic technique for analysing social networks. It is not usually possible to apply this method to data which contain a large number of interlocking cycles. We demonstrate a technique which overcomes this problem by referring to the data analysed by MacRae (1960).     

Tripartite structural analysis: Generalizing the Breiger-Wilson formalism

Tripartite graphs have three types of nodes and ties exist only between nod this paper, we indicate the background of work in structural analysis that leads to the use of such graphs and we develop the associated matrix methods. Fundamentally, the idea is to move another step forward in our ability to treat in analytical terms the general phenomenon of overlapping inclusions, such as that of persons and groups. We relate this idea to classic concerns with the interpenetration of persons, social systems, and cultural systems. In detail, the framework and results generalize those of Breiger (1974) and Wilson (1982).     

A game theoretic approach to measuring degree of centrality in social networks

We present a new measure of degree of centrality in a social network which is based on a natural extension of the Banzhaf (1965) index of power in an N-person game.     

An extension of ebloc to valued graphs

In this paper we show how the algorithm EBLOC can be extended to deal with valued data directly. The technique is then applied to Sampson's (1969) monastery data and comparisons are made with the original EBLOC algorithm.     

Bridging ties at the neighborhood level

This paper examines the relevance of the “strength of weak ties” model (Granovetter 1973) in devising community development strategies for urban neighborhoods. The policy implications of this model for activities designed to promote neighborhood identification and cohesion are outlined, and Granovetter's specific assumptions about the structure and functioning of urban neighborhood social networks are assessed in light of existing research. Little support is found for the presumed absence of bridging weak ties among urban neighbors, or for the assumption that strong ties create an obstacle to effective political mobilization in working-class neighborhoods. An alternative model of local-level integration is suggested, which retains Granovetter's concept of dense clusters of network ties linked by “local bridges”, but re-examines the role of weak ties in effecting such bridges.     

Structures of connectivity

From the earliest days of research on blockmodeling, one primary goal was to develop a method that would exploit the algebra of the social relations among individuals to describe the social structure of the group. This goal was reluctantly abandoned, however, because the presence of idiosyncratic relational ties in the data obscured the structure and no reliable method for identifying these ties existed. This paper presents such a method. We have found it useful to distinguish emotionally weak ties (Granovetter 1973), those with low intensity, from structurally weak ties, those that fail to conform to the pattern of ties that exist in and are reinforced by the social structure. The latter type of weak ties are the idiosyncratic ties that interfere with attempts to describe a social structure. This paper operationalizes the concept of structurally weak ties and presents an algebraic method for identifying them in sociometric data. This enables us to use the algebra of social relations to identify a blockmodel that describes the social structure of the group.     

HPV vaccination campaign fear visuals: An eye-tracking study exploring effects of visual attention and type on message informative value,recall, and behavioral intentions

HPV is the most common sexually transmitted disease, and there are alarming global disparities in cervical cancer and HPV vaccination uptake (CDC, 2016a). To inform HPV vaccination public health campaigns, an experiment with a psychophysiological measure (eye-tracking) explores the effects of visual attention to vaccination messages on message recall, informative value, and behavioral intentions. Results indicate 1) visual type affects recall and informative value of vaccination messages as well as intentions to vaccinate; 2) visual attention is negatively related to message recall only when a non-fear visual is used; and 3) visual attention predicts intent to vaccinate only when a fear visual is utilized. These results suggest the use of fear appeals in health, crisis, and risk public relations campaigns may promote performance of recommended safeguarding behaviors.     

Cultural intermediaries and the circuit of culture: The Digital Ambassadors project in Johannesburg,South Africa

The question raised by Cheney and Christensen (2001) as to “what a non-Western, non-managerial and non-rationalist form of public relations will look like” (p.182), together with the call made by Gregory (2014) for public relations practitioners (PRPs) to be active social change agents, motivated this paper. The aim of this research is to follow a culture-centred approach and apply the circuit of culture (Curtin & Gaither, 2005) to investigate the meanings that young people (aged 18 to 34), as cultural intermediaries, ascribe to their participation in a digital empowerment project implemented by the City of Johannesburg, South Africa. This research forms part of a larger, ongoing multi-disciplinary research project.The research highlights the complexity of projects of this nature, the wide variety of stakeholders involved, the significance of structure, the importance of training of cultural intermediaries, and the benefits such intermediaries gain from their involvement. A key finding is that self-development and financial benefit contribute significantly to the success of cultural intermediaries. This paper contributes to the field of public relations by providing an analysis of cultural intermediaries’ contribution to the circuit of culture as influenced not only by production and consumption but also by identity and regulation as seen in the way they represented the meaning created during their experience.     

Power struggles: A sociological approach to activist communication

This paper proposes an alternative approach to the scholarship of activist public relations, based on the ideas of the sociologist Pierre Bourdieu; notably his understanding of activism in society. Although Bourdieu is one of the most quoted sociologists in the world (Santoro, 2011; Truong & Weill, 2012), his work has only received limited attention in public relations, and has been entirely ignored within the context of activist communication. This is despite his focus on power, relationships and the role of activists in modern democracies, all of which are central themes in public relations practice and research. Based on Bourdieu’s theory of practice, the discipline’s prevailing, dominant, industry serving, functionalist paradigm positions public relations’ role in society as to perpetuate social inequalities. However, drawing on his ideas leads us to question if public relations skills could be equally utilized to challenge existing power imbalances in society, either in support or on behalf of those groups and individuals whose voices have been drowned out by traditional public relations efforts. The author argues that Bourdieu was not only an accomplished scholar, but also an activist in his own right. It is this combination of personal experience with academic ideas that lends weight to his scholarly work through which he urged the scholarly community to utilize their skills, knowledge and research to challenge (perceived) inequalities in society. The emergence of this type of activist academic, committed to giving voice to multiple coexisting, sometimes directly competing points of views, would arguably further justify and strengthen the existence of public relations as a scholarly discipline in its own right.     

Experimenting with dialogue on Twitter: An examination of the influence of the dialogic principles on engagement,interaction, and attitude

Much of the public relations research on online relationship building has examined social media content for the use of the dialogic principles outlined by Kent and Taylor (1998). These studies, using content analysis as the primary methodology, have found that the dialogic capabilities of social media are under-utilized. However, there is limited research on the effectiveness of these methods. Therefore, the goal of this study is to examine the influence of social media content utilizing these principles on engagement, interactivity, and attitude. Results of this study indicate that usefulness of information can have a significant influence on engagement and attitude.     

Predicting the structure of a communications network from recalled data

In a series of papers on informant accuracy in social network data, Bernard, Killworth, and more recently, Sailer, have concluded that “what people say, despite their presumed good intentions, bears no useful resemblance to their behavior” (Bernard, Killworth, and Sailer 1982: 63). In this paper we reanalyze one of the data sets (the technical group) utilized by Bernard, Killworth and Sailer in arriving at their conclusions. Unlike Bernard et al. we find that the observed behavior data corresponds closely to the recalled data. Using different methods of analysis we find that the verbal recall data can be used to predict structural aspects of the observed data. Two major findings emerge from our analysis: first, the more similarly two people judge the communication pattern of others, the more they interact with each other, and, second, the more two people share accurate knowledge of others, the more they interact with each other. Implications of our findings for the assertions of Bernard, Killworth and Sailer are discussed.     

Motivational Interviewing Intervention With College Student Tobacco Users: Providers' Beliefs and Behaviors

Abstract

Objective: This study assessed college student health providers' use of Motivational Interviewing (MI) with tobacco users, as well as their beliefs about the use of brief interventions to help college student tobacco users quit. MI is recommended by the United States Public Health Service to increase tobacco users' willingness to quit. Participants: Participants included 83 clinicians from health clinics at 7 different universities in North Carolina. Methods: Paper-and-pencil baseline survey from a cluster randomized trial of college student health clinicians. Results: Twenty-two percent of respondents reported always or usually using MI during the past month for tobacco-using patients not ready to make a quit attempt. Student health providers also reported information with regards to their beliefs about tobacco cessation treatment, barriers to intervening with patients, and confidence in motivating students to consider quitting. Conclusions: Results highlight the need to encourage clinicians' use of motivationally focused interventions with student tobacco users.

Motivational Interviewing Intervention With College Student Tobacco Users: Providers' Beliefs and Behaviors

All authors

Robert S. McNamara PhD, Eunyoung Y. Song PhD, Beth A. Reboussin PhD, John Spangler MD, Jessica R. Pockey MPH, Caroline Kimes BS, Kristie L. Foley PhD & Erin L. Sutfin PhD

https://doi.org/10.1080/07448481.2014.1003376

Published online:

11 May 2015

TABLE 1. Providers' Beliefs About Patient Tobacco Intervention and Cessation (N = 83)

CSVDisplay Table

     

Reply to Cameron et al.: Mistakes Were Made. Can They Be Corrected?

Cameron, Cameron, and Proctor (2017 Cameron, P., Cameron, K. M., &; Proctor, K. (2017). Children of homosexuals more apt to become homosexual and experience parental molestation: Surveys over three decades. Marriage &; Family Review, 53, 429–433. doi:10.1080/01494929.2017.1279942[Taylor &; Francis Online] , [Google Scholar]) have complained that Cameron and Cameron (1996 Cameron, P., &; Cameron, K. (1996). Homosexual parents. Adolescence, 31, 757–776.[PubMed], [Web of Science ®] , [Google Scholar]) were not cited in some articles authored by this journal’s editor. As part of this editor’s policy of welcoming critiques of the editor or articles published in Marriage &; Family Review, we are pleased to respond, as part of an assignment for a graduate course in statistics and research design. Although remarkable for its time in terms of sample design, Cameron and Cameron’s (1996 Cameron, P., &; Cameron, K. (1996). Homosexual parents. Adolescence, 31, 757–776.[PubMed], [Web of Science ®] , [Google Scholar]) research featured substantial limitations or ambiguity in sampling attrition, measurement of parental sexual orientation, and small sample size with respect to the number of children with same-sex parents. Although we cannot recall the exact reasons for which the editor neglected to cite Cameron and Cameron (1996 Cameron, P., &; Cameron, K. (1996). Homosexual parents. Adolescence, 31, 757–776.[PubMed], [Web of Science ®] , [Google Scholar]) in more frequency or detail, there were many scientifically reasonable possibilities. Cameron et al. (2017 Cameron, P., Cameron, K. M., &; Proctor, K. (2017). Children of homosexuals more apt to become homosexual and experience parental molestation: Surveys over three decades. Marriage &; Family Review, 53, 429–433. doi:10.1080/01494929.2017.1279942[Taylor &; Francis Online] , [Google Scholar]) are welcome to respond in detail to our concerns.     

Using ordinal variables to measure multidimensional poverty in Egypt and Jordan

This paper examines the empirical relevance of recent methodological refinements to the “counting approach” to multidimensional poverty measurement. It provides an empirical illustration based on data available in the Demographic and Health Surveys of Egypt and Jordan. The paper relies on the general framework proposed by Silber and Yalonetzky (2013) to compare multidimensional poverty measures, such as the Multidimensional Poverty Index (MPI) and others that are sensitive to the distribution of deprivation counts among individuals. It thus computes the measures introduced by Chakravarty and D’Ambrosio, 2006 and Rippin (2010) as well as indices based on the extension of the Aaberge and Peluso (2012), suggested by Silber and Yalonetzky (2013). It appears that it is useful to consider several multidimensional poverty measures when analyzing national poverty trends and when making a distinction between urban and rural areas.