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Group Envy Freeness and Group Pareto Efficiency in Fair Division with Indivisible Items

Deutsche Jahrestagung für Künstliche Intelligenz, 2018
We study the fair division of items to agents supposing that agents can form groups. We thus give natural generalizations of popular concepts such as envy-freeness and Pareto efficiency to groups of fixed sizes. Group envy-freeness requires that no group
M. Aleksandrov, T. Walsh
semanticscholar   +1 more source

Scale Freeness in Factor Analysis

Psychometrika, 1978
The notion of scale freeness does not seem to have been well understood in the factor analytic literature. It has been believed that if the loss function that is minimized to obtain estimates of the parameters in the factor model is scale invariant, then the estimates are scale free.
Swaminathan, Hariharan, Algina, James
openaire   +2 more sources

Normally torsion-freeness of monomial ideals under monomial operators

Communications in Algebra, 2018
An ideal I in a commutative Noetherian ring R is called normally torsion-free if for all positive integers k. In this article, by using some monomial operators, such as expansion, weighted, monomial multiple, monomial localization, contraction, and ...
M. Sayedsadeghi, M. Nasernejad
semanticscholar   +1 more source

q-Torsion freeness of symmetric powers

Rendiconti del Circolo Matematico di Palermo, 1997
Let \(R\) be a commutative noetherian unitary ring and \(E\) a finitely generated \(R\)-module. Let \(S_R(E)\) be the symmetric algebra of \(E\) over \(R\) and \(S_R(R^n)= R[X_1,\dots, X_n]\) the polynomial ring over \(R\). If \(E\) is of rank \(e\) and of finite projective dimension then there is an epimorphism between the cycles of the Koszul complex
IONESCU C. G, RESTUCCIA, Gaetana
openaire   +3 more sources

A homological characterization for freeness of multi-arrangements

Mathematische Annalen, 2018
Building on work of Brandt and Terao in their study of k -formality, we introduce a co-chain complex associated to a multi-arrangement and prove that its cohomologies determine freeness of the associated module of multi-derivations.
Michael DiPasquale
semanticscholar   +1 more source

On Testing Minor-Freeness in Bounded Degree Graphs With One-Sided Error

International Colloquium on Automata, Languages and Programming, 2017
We consider one-sided error property testing of F-minor freeness in bounded-degree graphs for any finite family of graphs F that contains a minor of K_{2,k}, the k-circus graph, or the (k x 2)-grid for any k in N.
Hendrik Fichtenberger   +3 more
semanticscholar   +1 more source

Freeness Analysis Through Linear Refinement

1999
Linear refinement is a technique for systematically constructing abstract domains for program analysis directly from a basic domain representing just the property of interest. This paper for the first time uses linear refinement to construct a new domain instead of just reconstructing an existing one.
P. M. Hill, SPOTO, Nicola Fausto
openaire   +2 more sources

Local Freeness of Profinite Groups

Canadian Mathematical Bulletin, 1982
AbstractIn this paper we discuss the relationship between local properties such as freeness and projectivity of a group and the freeness or projectivity of its pro-C-completion. We show that for certain classes, C, of finite groups (e.g. p-groups, nilpotent groups, super-solvable groups) the pro-C-completion of a locally free pro-C-group is a free pro ...
openaire   +2 more sources

Freeness and matrix decompositions

Science China Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ge, Liming, Shen, Junhao
openaire   +1 more source

Scale-Freeness and Biological Networks

The Journal of Biochemistry, 2005
The notion of scale-freeness and its prevalence in both natural and artificial networks have recently attracted much attention. The concept of scale-freeness is enthusiastically applied to almost any conceivable network, usually with affirmative conclusions.
openaire   +2 more sources

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