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Inessa Levi

Biographic Data

ID125269
NAMEInessa Levi
GIVEN NAMESInessa
FAMILY NAMELevi
SIGNATURELEVI I
AFFILIATIONSUniversity of Louisville
VERIFIEDNo
TOTAL WORKS4
TOTAL CITATIONS2
WORKS AS AUTHOR4
WORKS AS EDITOR0
FIRST PUBLICATION YEAR1996
LATEST PUBLICATION YEAR2003
H-INDEX1
  • Construction of well separated interaction semigroups to refine the modeling of social networks

    Open Access•G Barnes, George R Barnes et al.•ARTICLE•Social Networks•2003•References: 2

  • Weighted interaction semigroups

    G Barnes, G R Barnes et al.•ARTICLE•Journal of Mathematical Sociology•2001•References: 7

    Current semigroup models of social systems assume that the system is uniform, that is all the units and all the connections in the system have the same influence. Obviously most social structures are not uniform; some units and connections between some units are more influential and important than some others. This paper initiates a development of the semigroup model of social structures that reflects this non‐uniformity by using weighted inner p…

  • A mathematical model for interpersonal relationships in social networks

    Open Access•G Barnes, George R Barnes et al.•ARTICLE•Social Networks•1998

  • Algebraic structure of the interaction semigroup as related to the homogeneity of network

    G Barnes, George R Barnes et al.•ARTICLE•Journal of Mathematical Sociology•1996•Cited by: 2•References: 1

    This paper addresses the development of a semigroup model of social networks. Data matrices which represent the perceived relationships between members of a social network are used to construct a (possibly infinite) data semigroup of derived relations defined by (real) matrix multiplication. This complex structure is analyzed by forming interaction semigroups. These semigroups are homomorphic images of the data semigroup. The corresponding congru…

  • Algebraic structure of the interaction semigroup as related to the homogeneity of network

    G Barnes, George R Barnes et al.•ARTICLE•Journal of Mathematical Sociology•1996•Cited by: 2•References: 1

    This paper addresses the development of a semigroup model of social networks. Data matrices which represent the perceived relationships between members of a social network are used to construct a (possibly infinite) data semigroup of derived relations defined by (real) matrix multiplication. This complex structure is analyzed by forming interaction semigroups. These semigroups are homomorphic images of the data semigroup. The corresponding congru…

  • Algebraic structure of the interaction semigroup as related to the homogeneity of network

    G Barnes, George R Barnes et al.•ARTICLE•Journal of Mathematical Sociology•1996•Cited by: 2•References: 1

    This paper addresses the development of a semigroup model of social networks. Data matrices which represent the perceived relationships between members of a social network are used to construct a (possibly infinite) data semigroup of derived relations defined by (real) matrix multiplication. This complex structure is analyzed by forming interaction semigroups. These semigroups are homomorphic images of the data semigroup. The corresponding congru…

  • A mathematical model for interpersonal relationships in social networks

    Open Access•G Barnes, George R Barnes et al.•ARTICLE•Social Networks•1998

  • Weighted interaction semigroups

    G Barnes, G R Barnes et al.•ARTICLE•Journal of Mathematical Sociology•2001•References: 7

    Current semigroup models of social systems assume that the system is uniform, that is all the units and all the connections in the system have the same influence. Obviously most social structures are not uniform; some units and connections between some units are more influential and important than some others. This paper initiates a development of the semigroup model of social structures that reflects this non‐uniformity by using weighted inner p…

  • Construction of well separated interaction semigroups to refine the modeling of social networks

    Open Access•G Barnes, George R Barnes et al.•ARTICLE•Social Networks•2003•References: 2

Complex Network Analysis Techniques (4 works) · Mathematics (4 works) · Opinion Dynamics and Social Influence (4 works) · Computer Science (3 works) · Pure mathematics (3 works) · Semigroup (3 works) · Algebraic structure (2 works) · Artificial Intelligence (2 works) · Discrete mathematics (2 works) · Algebraic number (1 work)

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