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Results n° 1 to 8 of 15 matches
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Title About the choice of the partner in aïkido: elements of algebra and combinatorics of the pairing of a finite set
Author BARBUT Marc, DUPREZ Jean-Marie
Keywords Aïkido, Configuration, Homogeneity, Lattice, Pairing, Probability
Topics Combinatorics, Lattices, Probabilities, Recurrence equations, Social Psychology, Sociology
Abstract The rules of the game named aïkido provide a particular occurrence of the following general problem: a finite set E(|E|= 2n) of persons is divided into k given classes (partition Π); each person is allowed to choose freely a partner among the others; the result is a second partition of E, into n 2-subsets; we name it pairing. The sequence of the sizes of the classes of the cut (infimum) of Π and a pairing (in the partitions lattice of E) is called here a configuration. This paper studies the set of all possible configurations in the two elementary cases k = 2 and k = 3. For (k ≥ 4), some general properties are showed.
Number 177, Spring 2007
Language   French
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Title Social network evolution and actor oriented models
Author ZEGGELINK Evelien P.H.
Keywords None
Topics Algorithms - Algorithmic Theory, Dynamical Systems, Networks, Recurrence equations, Social Sciences, Stochastic Processes
Abstract We present an overview of different actor oriented models of network evolution, that have been developed in the last couple of years. The models are constructed in different fields of application and all have in common that the emergence of network structure is directly or indirectly of interest. Each model is based on a set of actors and a set of behavioral rules of these actors, resulting in interaction mechanisms and the coming into existence of some network pattern of relationships. Actors vary from individuals and families to political parties. Relationships are either directed or undirected and vary from friendship to cooperation, and access to coalition partners. Simulation is used to obtain distribution of possible resulting network structure because this and other aspects of the models, make it hard to be solved analytically. We think that the use of this kind of simulation models, by examining the influence of both endogeneous and exogeneous variables, contributes to improvement of theory building.
Number 137, Spring 1997, special issue: A few models for social networks analysis
Language  English
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Title Tiling of a rectangle of widht 3 with "triminoes"
Author KREWERAS Germain
Keywords None
Topics Combinatorics, Geometry, Recurrence equations
Abstract
Number 130, Summer 1995
Language   French
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Title Iteration processes in population dynamics and Easterlin's theory
Author ARTZROUNI Marc
Keywords None
Topics Demography, Dynamical Systems, Process, Recurrence equations, Time Series
Abstract
Number 76, Winter 1981
Language   French
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Title Stanley's polynomials and linear extensins of a partial order
Author KREWERAS Germain
Keywords None
Topics Algebra, Classification - Clustering - Partitioning, Combinatorics, Graphs, Orders and preorders, Recurrence equations
Abstract
Number 73, Spring 1981
Language   French
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Title Weak total orders consistent with a strong partial order
Author KREWERAS Germain
Keywords None
Topics Combinatorics, Orders and preorders, Recurrence equations
Abstract
Number 53, Spring 1976
Language   French
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Title Note on a little known probability distribution of the discrete type
Author FAUCOUNAU J.
Keywords None
Topics Probabilities, Recurrence equations
Abstract
Number 52, Winter 1975
Language   French
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Title Enumerations related to a combinatorial definition of the continuity on a graph
Author KREWERAS Germain
Keywords None
Topics Combinatorics, Graphs, Recurrence equations
Abstract
Number 51, Fall 1975
Language   French
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