41
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Further Algebraic Results in the Theory of Balance

Pages 309-319 | Published online: 18 Oct 2010

  • Abelson , R. and Rosenberg , M. 1958 . Symbolic psycho-logic: A model of attitudinal cognition . Behavioral Science , 3 : 1 – 13 .
  • Barahona , F. 1980 . Balancing signed graphs of fixed genus in polynomial time , Santiago : Depto. de Matemáticas, Universidad de Chile .
  • Batagelj , V. 1994 . Semirings for social networks analysis . Journal of Mathematical Sociology , 19 : 53 – 68 .
  • Berge , C. 1962 . The theory of graphs and its applications , New York : John Wiley & Sons Inc .
  • Davis , J. A. 1967 . Clustering and structural balance in graphs . Human Relations , 20 : 181 – 187 .
  • Davis , J. A. and Leinhardt , S. 1972 . “ The structure of positive interpersonal relationships in small groups ” . In Sociological theories in progress , Edited by: Berger . Vol. 2 , 218 – 251 . New York : Houghton Mifflin .
  • Doreian , P. and Krackhardt , D. 2001 . Pre-transitive balance mechanisms for signed networks . Journal of Mathematical Sociology , 25 : 43 – 67 .
  • Doreian , P. and Mrvar , A. 1996 . A partitioning approach to structural balance . Social Networks , 18 : 149 – 168 .
  • Flament , C. 1963 . Applications of graph theory to group structure , Englewood Cliffs, NJ : Prentice-Hall .
  • Flament , C. 1970 . Équilibre d'un graphe: quelques résultats algébriques . Mathématiques et Sciences Humaines, 8e année , 30 : 5 – 10 . n°
  • Garey , M. R. , Johnson , D. S. and Stockmeyer , L. 1976 . Some simplified NP-complete graph problems . Theoretical Computer Science , 1 : 237 – 267 .
  • Hallinan , M. 1974 . The structure of positive sentiment , New York : Elsevier .
  • Harary , F. 1959 . On the measurement of structural balance . Behavioral Science , 4 : 316 – 323 .
  • Harary , F. and Kabell , J. A. 1980 . A simple algorithm to detect balance in signed graphs . Mathematical Social Sciences , 1 : 131 – 136 .
  • Heider , F. 1979 . “ On balance and attribution ” . In Perspectives on Social Network Research , Edited by: Holland , P. W. and Leinhardt , S. 11 – 23 . New York : Academic Press .
  • Huntington , S. 1996 . The clash of civilizations and the remaking of world order , New York : Simon & Schuster .
  • Opp , K.-D. 1984 . Balance theory: Progress and stagnation of a social psychological theory . Philosophy of the Social Sciences , 14 : 27 – 49 .
  • Petersdorf , M. 1966 . Einige Bemerkungen über vollständige Bigraphen . Wiss. Z. Techn. Hochsch. Ilmenau , 12 : 257 – 260 .
  • Tomescu , I. 1973 . Note sur une caractérisation des graphes dont le degré de déséquilibre est maximal . Mathématiques et Sciences Humaines , 42 : 37 – 40 . 11e année, n°
  • White , H. 1961 . Management conflict and sociometric structure . American Journal of Sociology , 67 : 185 – 199 .
  • Zaslavsky , T. 1999 . A Mathematical Bibliography of Signed and Gain Graphs and Allied Areas . Electronic Journal of Combinatorics: Dynamic Surveys in Combinatorics , : DS8

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.