منابع مشابه
Axioms for Centrality
Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology and computer science, and a whole plethora of centrality measures (a.k.a. centrality indices, or rankings) were proposed to account for the importance of the nodes of a network. In this paper, we try to provide a mathematically sound survey of the most important classic ...
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Recently Boldi and Vigna proposed axioms that would characterize good notions of centrality. We study a random-walk version of closeness centrality and prove that is satisfies Boldi-Vigna axioms for non-directed graphs.
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Based on a completely distributive lattice $M$, base axioms and subbase axioms are introduced in $M$-fuzzifying convex spaces. It is shown that a mapping $mathscr{B}$ (resp. $varphi$) with the base axioms (resp. subbase axioms) can induce a unique $M$-fuzzifying convex structure with $mathscr{B}$ (resp. $varphi$) as its base (resp. subbase). As applications, it is proved that bases and subbase...
متن کاملAxioms for Concurrency
We study properties of equational characterisations of congruences defined over process algebras. The languages on which we concentrate are based on CCS, and our equivalences are generally restricted to observational congruences. We start by defining and investigating the notion of extensionality or w-completeness of an axiomatisation with respect to some semantic equivalence, as an extension o...
متن کاملAxioms for Hopf Invariants
1. Since H. Hopf first proved that irziS) « Z by showing that a certain invariant was non tri vial, several similar invariants—called generalized Hopf invariants—have been described; indeed, there are no less than 6 different definitions in the literature, and it was not always clear whether theorems about one applied to others. Many definitions were riddled with choices which had to be made, a...
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ژورنال
عنوان ژورنال: Internet Mathematics
سال: 2014
ISSN: 1542-7951,1944-9488
DOI: 10.1080/15427951.2013.865686