By Bernhard Möller (auth.), Harrie de Swart (eds.)
This publication constitutes the court cases of the 12 foreign convention on Relational and Algebraic equipment in laptop technological know-how, RAMICS 2011, held in Rotterdam, The Netherlands, in May/June 2011.
This convention merges the RelMICS (Relational tools in computing device technology) and AKA (Applications of Kleene Algebra) meetings, which were a major discussion board for researchers who use the calculus of family and comparable algebraic formalisms as methodological and conceptual instruments. Relational and algebraic tools and software program instruments come in useful for fixing difficulties in social selection and online game idea. accordingly this convention incorporated a different tune on Computational Social selection and Social software program. The 18 papers integrated have been conscientiously reviewed and chosen from 27 submissions. additionally the quantity includes 2 invited tutorials and five invited talks.
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Additional info for Relational and Algebraic Methods in Computer Science: 12th International Conference, RAMICS 2011, Rotterdam, The Netherlands, May 30 – June 3, 2011. Proceedings
18) It is the (weighted) proportion of situations of observed inﬂuence among all situations of potential inﬂuence. Two particular ways of weighting lead to the possibility inﬂuence index d(B, S → j) and the certainty inﬂuence index d(B, S → j). We have for each S ⊆ N , j ∈ N \ S and B ∈ B d(B, S → j) = dα (B, S → j), where αS→j = 1 for each i ∈ IS i and d(B, S → j) = dα (B, S → j), where for each i ∈ IS Social Networks: Prestige, Centrality, and Inﬂuence αS→j = i 31 1, if ∀p ∈ / S ∪ j, ip = −iS 0, otherwise.
1K1 | · · · | ψJ1 , . . , ψJKJ . Synthesising Terminating Tableau Calculi for Relational Logics 43 The antecedents of the implications (1) and (2) have respectively become the premises of the ρ+ and ρ− rules. The succedents of the implications are respectively the disjunctive normal forms of the right hand and left hand sides of the S + and S − sentences. These have become the conclusions of the ρ+ and ρ− rules. The ρ+ rule is the decomposition rule for positive occurrences of formulae of the form E(p) and the ρ− rule is the decomposition rule for negative occurrences of formulae of the form E(p).
22–39, 2011. c Springer-Verlag Berlin Heidelberg 2011 Social Networks: Prestige, Centrality, and Inﬂuence 23 One of the aims of this paper is to deliver a brief overview of the main centrality measures. Four kinds of measures are presented: degree centrality, closeness centrality, betweenness centrality, Katz prestige and Bonacich centrality. We also brieﬂy discuss a categorization of centrality measures based on a topology of network ﬂows. Social networks are particularly important in studying all kinds of inﬂuence phenomena.