Studies on the balancing, the minimal balancing, and the minimum balancing processes for social groups with planar and nonplanar graph structures

Keywords

Signed graph, Load balancing (electrical power), Mathematics, Two-graph, Adjacency list

References

• Theory of GraphsÖystein Ore — 1962
• Attitudes and cognitive organization.Fritz Heider — 1946
• Factor analysis of data matricesRichard B. Darlington, Paul Horst — 1965
• A formal theory of social power.John R. P. French — 1956
• Graph Theory As A Mathematical Model In Social ScienceFrank Harary, Robert Z. Norman — 1953
• Studies in Social Power.Dorwin Cartwright — 1960
• Applications of Graph Theory to Group Structure.Alan J. Hoffman, Claude Flament — 1966
• Structural Models: An Introduction to the Theory of Directed Graphs.Robert P. Abelson, Frank Harary, Robert Z. Norman — 1966
• Graph TheoryGera, Ralucca, Hedetniemi, Stephen, Larson, Craig — 2016
• Field Theory in Social ScienceRuth Reed, Kurt Lewin — 1951
• FACTOR ANALYSIS OF DATA MATRICESPaul Horst — 1964
• Theory of GraphsO. Ore — 1962
• STRUCTURAL BALANCE: A GENERALIZATION OF HEIDER'S THEORY1D. Cartwright, F. Harary — 1977

Cited by

• Description combinatoire des ultramétriquesBruno Leclerc — 1981
• Characterization of a Signed Graph Whose Signed Line Graph is S-ConsistentB. D. Acharya, Mukti Acharya, Deepa Sinha — 2009
• A social simulation on the influence of the interaction style and communication networkAkira Notsu, Katsuhiro Honda, Yu Yamamoto — 2010
• A Mathematical Bibliography of Signed and Gain Graphs and Allied AreasThomas Zasĺavsky — 2018
• Agent-Based Simulation About Social Value Emergence Based on Perceptual BalanceAkira Notsu, Hidetomo Ichihashi, Katsuhiro Honda — 2006
• Visualization of balancing systems based on naïve psychological approachesAkira Notsu, Hidetomo Ichihashi, Katsuhiro Honda — 2008
• Applied network analysisKees Niem�ller, Bert Schijf — 1980
• Influence of Communications on Social Simulations Based on Cognitive Economic EfficiencyAkira Notsu, Yuu Yamamoto, Katsuhiro Honda — 2010
• A perceptual approach to user clustering in collaborative filteringKatsuhiro Honda, Akira Notsu, Hidetomo Ichihashi — 2008
• Negation switching invariant signed graphsDeepa Sinha, Ayushi Dhama — 2014
• Classification of Types of Societal Conflicts and Characterization of their Resolution Processes Based on Deontic LogicOsamu Katai, Kentaro Toda, Hiroshi Kawakami — 2002
• Negation Switching Equivalence in Signed GraphsSiva Kota Reddy — 2010
• Slow information: contemplating time and space from Newtonian to LeibnizianO. Katai, Hiroshi Kawakami, Takayuki Shiose — 2004
• Collaborative filtering by sequential extraction of user-item clusters based on structural balancing approachKatsuhiro Honda, Akira Notsu, Hidetomo Ichihashi — 2009
• Design of caring communication media based on nursing theory and interpersonal psychologyAkira Notsu, O. Katai, Hiroshi Kawakami — 2001
• Conceptual graph generation from text documents based on perceptual balanceAkira Notsu, Katsuhiro Honda, Hidetomo Ichihashi — 2009
• Collaborative Filtering by User-Item Clustering Based on Structural Balancing ApproachKatsuhiro Honda, Akira Notsu, Hidetomo Ichihashi — 2008
• Characterization of Signed Graphs Whose Iterated Signed Line Graphs are Balanced or S-ConsistentDeepa Sinha, Mukti Acharya — 2016
• On Square and 2-path Signed GraphDeepa Sinha, Deepakshi Sharma — 2016
• Restricted super line signed graphRL r (S)P. Siva Kota Reddy, U. K. Misra — 2013

Related papers

• Spectral characterizations of signed cyclesSaieed Akbari, Francesco Belardo, E. Dodongeh — 2018
• On Adjacency Matrices and Descriptors of Signed Cycle GraphsA. M. Mathai, Thomas Zasĺavsky — 2013
• Characterization of a Signed Graph Whose Signed Line Graph is S-ConsistentB. D. Acharya, Mukti Acharya, Deepa Sinha — 2009
• On signed graphs with just two distinct adjacency eigenvaluesYaoping Hou, Zikai Tang, Dijian Wang — 2019
• Total graph of a signed graphFrancesco Belardo, Zoran Stanić, Tomas Zaslavsky — 2019
• Spectra of signed total graphsFrancesco Belardo, Zoran Stanić, Thomas Zasĺavsky — 2019
• A moment inequality and positivity for signed graph LaplaciansIkemefuna Agbanusi, Jared C. Bronski, Derek Kielty — 2020