Skip to main content

ETHNOS_APP

Home • Search • Journals • List 0

Social Structure from Multiple Networks. II. Role Structures

Bibliographic Data

ID7609050
AuthorsScott A Boorman, Harrison C White
Year1976
Volume81
Issue6
Pages1384-1446
Publication date1976-05-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueAmerican Journal of Sociology (JOURNAL)
Journal identifiersISSN: 0002-9602 • E-ISSN: 1537-5390
PublisherUniversity of Chicago Press (PUBLISHER • US)
DOI10.1086/226228
OpenAlexW2109743555
LanguageEN
Citations received285
References cited36

Role structures in small populations are given operational meaning as algebras generated from the sociometric blockmodels of Part I by Boolean multiplication (matrix multiplication employing binary arithmetic). Many different sociometric structures can yield the same algebraic multiplication table, which captures a different level of social structure. Elements of the algebras are interpreted concretely as compound roles, and interlock among these roles is studied through investigation of their algebraic properties (equations and inclusions). Similarities and differences among algebras from six case studies are explored by means of homomorphisms as well as by multidimensional scaling on a derivative numerical distance measure. Results for particular populations, including reliability and stability tests, are summarized through simple target tables reporting aggregations of more complicated role structures

Algebra over a field · Algebraic number · Algebraic operation · Algebraic structure · Arithmetic · Binary number · Binary operation · Combinatorics · Data mining · Discrete mathematics · Homomorphism · Multiplication (music) · Pure mathematics · Simple (philosophy) · Table (database) · Complex Network Analysis Techniques · Computer Science · Mathematics · Opinion Dynamics and Social Influence

  • Link prediction in directed social networks

    Open Access•Daniel Schall•Social Network Analysis and Mining•2014

  • On the discovery of social roles in large scale social systems

    Open Access•Derek Doran•Social Network Analysis and Mining•2015

  • Generalised blockmodelling of social and relational networks using evolutionary computing

    Open Access•Jeffrey Chan, Samantha Lam et al.•Social Network Analysis and Mining•2014

  • Networks and Economic life

    Open Access•Walter W Powell, Lorel Smith-Dor•Journal of Economic Sociology•2003

  • Reconstruction en sciences sociales

    Open Access•C Roth•Nouvelles perspectives en…•2009

  • Analysis on the Spatial-Temporal Evolution Characteristics and Spatial Network Structure of Tourism Eco-Efficiency in the Yangtze River Delta Urban Agglomeration

    Open Access•Yiyang Sun, Guolin Hou•International Journal of…•2021

  • Power and Core-Periphery Networks

    Open Access•Dotan Persitz•SSRN Electronic Journal•2010

  • Spatial correlation network and population mobility effect of regional haze pollution

    Open Access•Feng Wang, Jing Ren et al.•Environment Development and…•2021

  • Behavioral versus cognitive classroom friendship networks

    Open Access•Matthew Pittinsky, B V Carolan•Social Psychology of Education•2007

  • What is an Empire? Assessing the postcolonial contribution to the American Empire Debate

    April Renee Biccum•Interventions•2018

  • Looking Back and Forging Ahead

    Open Access•Paulett Lloyd, M C Mahutga et al.•Journal of World-Systems Research•2009

  • An Evolving Triadic World

    Open Access•Shelton A Gunaratne•Journal of World-Systems Research•2002

  • Networks in Archaeology

    Open Access•Anna C F Collar, F Coward et al.•Journal of Archaeological Method…•2015

  • From Metaphors to Practice

    Open Access•Jessica Munson•Journal of Archaeological Method…•2013

  • Working in Practice But Not in Theory

    Todd R Laporte, Paula M Consolini•Journal of Public Administration…•1991

  • Shifting Vantage and Conceptual Puzzles in Understanding Public Organization Networks1

    Todd R La Porte•Journal of Public Administration…•1996

  • Die analytische Soziologie

    Open Access•Lutz Bornmann•Österreichische Zeitschrift für…•2010

  • Using cellular data to analyze the tourists' trajectories for tourism destination attributes

    Open Access•Chih‐Peng Chu, Chih-Peng Chu et al.•Journal of Transport Geography•2021

  • Lawyers of the Right

    Open Access•A Paik, Ann Southworth et al.•Law & Social Inquiry•2007

  • Social Networks and Climate Change Policy Preferences

    David B Tindall, Mark C J Stoddart et al.•Society & Natural Resources•2020

  • The Cultural Turn in Sociology

    Open Access•Bernice A Pescosolido, Sigrún Ólafsdóttir•Sociological Forum•2010

  • Cultural elites and the institutionalization of ideas

    Open Access•Leslie Rado•Sociological Forum•1987

  • Jackknife and Bootstrap Estimates for Cluster Validation

    Open Access•Nancy Andes•Bulletin of Sociological…•1989

  • Social Grammar for Culture

    Harrison C White•Sociological Theory•1992

  • Network Analysis

    B Wellman•Sociological Theory•1983

  • Hidden Meanings

    Brint, Steven Brint•Sociological Theory•1992

  • Contact, Support, and Friction

    Open Access•Ann Leffler, Richard S Krannich et al.•Sociological Perspectives•1986

  • Detecting role equivalence

    Open Access•R S Burt•Social Networks•1990

  • Analysing networks of networks

    Open Access•J Koskinen, Pete Jones et al.•Social Networks•2023

  • The distant core

    Open Access•Michael Bourgeois, N E Friedkin•Social Networks•2001

  • Mapping social milieus and cohesion patterns between 1997 and 2014. Exploiting the potential of the occupational position generator

    Open Access•Z Kmetty, Róbert Tardos et al.•Social Networks•2018

  • A multiple indicator approach to blockmodeling signed networks

    Open Access•P Doreian•Social Networks•2008

  • Representing degree distributions, clustering, and homophily in social networks with latent cluster random effects models

    Open Access•Pavel N Krivitsky, Mark S Handcock et al.•Social Networks•2009

  • A note on sociometric order in the general social survey network data

    Open Access•R S Burt•Social Networks•1986

  • Are social equivalences ever regular

    Open Access•John P Boyd, Karen Jonas et al.•Social Networks•2001

  • Influentials, novelty, and social contagion

    Open Access•N M Harrigan, Nicholas Harrigan et al.•Social Networks•2012

  • Identifying cohesive subgroups

    Open Access•K A Frank•Social Networks•1995

  • Partitioning signed social networks

    Open Access•P Doreian, Andrej Mrvar•Social Networks•2008

  • Recent Developments in Role Theory

    Bruce J Biddle, B Biddle•Annual Review of Sociology•1986

  • Social Structure as a Network Process / Sozialstruktur als ein Netzwerk-Prozeß

    P W Holland, Samuel Leinhardt•Zeitschrift für Soziologie•1977

  • Why can collective action fail in Local Agri-food Systems? A social network analysis of cheese producers in Aculco, Mexico

    Joan Crespo, Denis Requier-Desjardins et al.•Food Policy•2014

  • Historic networks and commemoration

    Open Access•L E A Braden, Laura Braden et al.•Poetics•2020

  • Beyond the antinomies of structure

    Open Access•Omar Lizardo•Theory and Society•2010

  • Sin Coyote Ni Patrón

    Open Access•Fred Krissman•International Migration Review•2005

  • Co-Offending and Criminal Careers

    Albert J Reiss, Albert J Reiss Albert J Reiss•Crime and Justice•1988

  • Collaboration and Culture

    Open Access•Christopher Weare, Paul Lichterman et al.•Policy Studies Journal•2014

  • Emergence and Completion of Structure in Initially Undefined and Partially Defined Groups

    Robert K Shelly, Lisa Troyer•Social Psychology Quarterly•2001

  • Forum

    Open Access•J Levi Martins, N Seaver et al.•Social Analysis•2024

  • Social Networks and Collective Action

    Open Access•David A Siegel•American Journal of Political…•2009

  • Blockmodels

    William H Panning•American Journal of Political…•1982

  • Structures of Mediation

    Roger V Gould, Roberto M Fernandez•Sociological Methodology•1989

  • Local Blockmodel Algebras for Analyzing Social Networks

    Lawrence L Wu, Lawrence Wu•Sociological Methodology•1983

  • The Allocation of Time among Individuals

    C Winship•Sociological Methodology•1978

  • The Self as a Fuzzy Set of Roles, Role Theory as a Fuzzy System

    Open Access•James D Montgomery•Sociological Methodology•2000

  • Production Markets as Induced Role Structures

    Harrison C White•Sociological Methodology•1981

  • Roles and Positions

    C Winship, Michael Mandel•Sociological Methodology•1983

  • Explorer les réseaux à l'échelle de la triade

    Julien Brailly, Fabien Eloire et al.•L Année sociologique•2017

  • The Web of Conformity

    Marvin D Krohn•Social Problems•1986

  • Tenir le haut de l'affiche

    Baptiste Coulmont•Revue Française de Sociologie•2013

  • Coévolution des auteurs et des concepts dans les réseaux épistémiques

    C Roth•Revue Française de Sociologie•2008

  • Sociological classification and cluster analysis

    Open Access•KennethD Bailey•Quality & Quantity•1983

  • Some algebraic structures for diffusion in social networks

    J Levi Martins•Journal of Mathematical Sociology•2002

  • Equivalence in a social network

    P Doreian•Journal of Mathematical Sociology•1988

  • Data without (operational) variables

    Joel H Levine, Aaron Klein et al.•Journal of Mathematical Sociology•2001

  • An approach for relating social structure to cognitive structure

    K M Carley, Kathleen Carley•Journal of Mathematical Sociology•1986

  • Power Mapping

    Open Access•Darren Noy•The American Sociologist•2008

  • The World System Paradigm as General Theory of Development

    Ronan Van Rossem•American Sociological Review•1996

  • The Social Organization of Sociological Knowledge

    James G Ennis•American Sociological Review•1992

  • National Industrial Structure and the Global System

    K A Bollen, Stephen J Appold•American Sociological Review•1993

  • Migration, Medical Care Preferences and the Lay Referral System

    Bernice A Pescosolido•American Sociological Review•1986

  • The Group Structure of Cocitation Clusters

    Nicholas C Mullins, Lowell L Hargens et al.•American Sociological Review•1977

  • Structural Bases of Interpersonal Influence in Groups

    N E Friedkin•American Sociological Review•1993

  • Political Holes in the Economy

    Open Access•David Stark, Balázs Vedres•American Sociological Review•2012

  • Durkheim, Suicide, and Religion

    Bernice A Pescosolido, Sharon Georgianna•American Sociological Review•1989

  • Local Roles and Social Networks

    Michael J Mandel, Michael Mandel•American Sociological Review•1983

  • Bringing Process into Structure

    Amalya L Oliver•Institutions and Organizations•2019

  • The Structure and Function of Complex Networks

    M Newman, M E J Newman•SIAM Review•2003

  • Classifications in Popular Music

    Open Access•Alex Van Venrooij, Vaughn Schmutz•International Encyclopedia of the…•2015

  • Networks at Harvard University Sociology

    Open Access•Mark C Pachucki, K Lewis•Encyclopedia of Social Network…•2014

  • Status and Role

    Open Access•John Scott•International Encyclopedia of the…•2015

  • Switchings Among Netdoms

    Open Access•Jorge Fontdevila•The Palgrave Handbook of…•2018

  • Social Structure

    Open Access•J Levi Martins, John L Martin et al.•International Encyclopedia of the…•2015

  • Toward an Integrated Science of Morality

    Rengin Firat, Chad Michael Mcpherson•Handbook of the sociology of…•2010

  • Social Networks, Algebra of

    Open Access•P Pattison, Lucia Falzon et al.•International Encyclopedia of the…•2015

  • Culture and Networks

    Open Access•R Breiger, Ronald L Breiger et al.•International Encyclopedia of the…•2015

  • A Connected World

    Open Access•Martin Kilduff, Lei Liu et al.•Connected World•2023

  • Social Networks and Health

    T W Valente•Social networks and health•2010

  • Estimation and Prediction for Stochastic Blockstructures

    Krzysztof Nowicki, Tom Ab Snijders et al.•Journal of the American…•2001

  • Logit models and logistic regressions for social networks

    Open Access•P Pattison, Stanley Wasserman•British Journal of Mathematical…•1999

  • Tackling connections, structure, and meaning in networks

    Open Access•J A Fuhse, Jan Fuhse et al.•Quality & Quantity•2011

  • Social Networks Matter. But How?

    Florence Passy•Social movements and networks•2003

  • Multilayer networks

    Mikko Kivelä, Àlex Arenas et al.•Journal of Complex Networks•2014

  • Cross‐Talk in Movements

    Ann Mische•Social movements and networks•2003

  • Introduction

    M Diani•Social movements and networks•2003

  • ‘Leaders’ Or Brokers? Positions and Influence in Social Movement Networks

    M Diani•Social movements and networks•2003

  • Beyond Structural Analysis

    Doug Mcadam•Social movements and networks•2003

  • An Exponential Family of Probability Distributions for Directed Graphs

    P W Holland, Samuel Leinhardt•Journal of the American…•1981

  • Constructing blockmodels

    Open Access•Phipps Arabie, Scott A Boorman et al.•Journal of Mathematical Psychology•1978

  • Stigma and the Sociological Enterprise

    Bernice A Pescosolido, Jack Martins et al.•Mental Health, Social Mirror•2007

  • The Sociology of Social Structure

    FABRIZIO BERNARDI JUAN, Jesús González Requena et al.•21st century sociology•2007

  • Social exchange theory

    Peter P Ekeh•Social exchange theory•1974

  • On theory and verification in sociology

    Hans Lennart Zetterberg•On theory and verification in…•1966

  • Introduction to Mathematical Sociology

    James Samuel Coleman•Introduction to Mathematical…•1978

  • The industrial mobility of labor as a probability process

    Isadore Blumen•The industrial mobility of labor…•1955

  • The acquaintance process.

    Theodore M Newcomb•1961

  • A Treatise on Probability

    Open Access•John Maynard Keynes•A Treatise on Probability•1973

  • Caste and Kinship in Central India

    Adrian C Mayer, Adrian Mayer•Caste and Kinship in Central India•1960

  • Multidimensional Scaling by Optimizing Goodness of Fit to a Nonmetric Hypothesis

    Open Access•Joseph B Kruskal•Psychometrika•1964

  • Hierarchical Clustering Schemes

    Open Access•Stephen C Johnson•Psychometrika•1967

  • A Method of Matrix Analysis of Group Structure

    Open Access•R Duncan Luce, Albert D Perry•Psychometrika•1949

  • An algorithm for clustering relational data with applications to social network analysis and comparison with multidimensional scaling

    Open Access•R Breiger, Ronald L Breiger et al.•Journal of Mathematical Psychology•1975

  • The Analysis of Proximities

    Open Access•Roger N Shepard•Psychometrika•1962

  • Symbolic psycho-logic

    Open Access•Robert P Abelson, Milton J Rosenberg•Systems Research and Behavioral…•2007

  • The adolescent society

    James Samuel Coleman•The adolescent society•1961

  • Constructing social theories

    Arthur L Stinchcombe•Constructing social theories•1987

  • The profession of arms

    John Hackett, J W Hackett•Survival•1963

  • Structural equivalence of individuals in social networks

    Francois Lorrain, Harrison C White•Journal of Mathematical Sociology•1971

  • Social Structure from Multiple Networks. I. Blockmodels of Roles and Positions

    Harrison C White, Scott A Boorman et al.•American Journal of Sociology•1976

  • Clustering and Structural Balance in Graphs

    Open Access•James A Davis•Human Relations•1967

  • Local Structure in Social Networks

    P W Holland, Samuel Leinhardt•Sociological Methodology•1976

  • Career Attributes and Network Structure

    Ronald L Brieger•American Sociological Review•1976

  • Essays in Sociological Theory

    Talcott Parsons•Essays in Sociological Theory•1964

  • Social Theory and Social Structure

    Robert King Merton•Social Theory and Social Structure•1968

  • My enemy's enemy is my friend

    Elliot Aronson, Vernon Cope et al.•Journal of Personality and Social…•1968

  • Rules, Roles, and Relations

    Arnold S Kaufman, Dorothy Emmet•American Sociological Review•1967

  • Presidential Address

    Mirra Komarovsky•American Sociological Review•1973

  • Organizations as Semilattices

    Morris F Friedell•American Sociological Review•1967

  • Measuring the development of kinship terminologies

    Open Access•Ira R Buchler•Bijdragen tot de taal- land- en…•1966

  • The Theory of Social Structure

    F Nadel, Stan Nadel et al.•Theory of Social Structure•2013

  • Political Systems of Highland Burma

    E R Leach, Edmund Leach•Political Systems of Highland Burma•2021

  • Kalmuk Mongol and the Classification of Lineal Kinship Terminologies

    Open Access•A Kimball Romney•American Anthropologist•1965

  • A Generalization of the Cross/Parallel Distinction1

    Open Access•Paul Kay•American Anthropologist•1965

  • Network Sampling

    Mark Granovetter•American Journal of Sociology•1976

  • Political Judgments and the Perception of Social Relationships

    Vernon K Dibble•American Journal of Sociology•1972

  • Management Conflict and Sociometric Structure

    Harrison C White, Harrison White•American Journal of Sociology•1961

Unique citing works285
Citations per year5,7
Citation span1976 - 2025 (50)
Citation velocityrecent
Highly citedYes
Citation typesNeutral: 210

Tools

Open DOISci-Hub
Ethnos_APP • Open Source Project • MIT License • Frontend v2.0.0 • Privacy and Cookies • API Documentation: api.ethnos.app/docs • API Source Code: GitHub • DOI: 10.5281/zenodo.17049435 • Frontend Source Code: GitHub • DOI: 10.5281/zenodo.17050053 • cruz.rio.br • Expectantes Misericordiae