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81
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2008
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15 years 26 days ago
Periodical states and marching groups in a closed owari
Owari is an old African game that consists of cyclically ordered pits that are filled with pebbles. In a sowing move all the pebbles are taken out of one pit and distributed one b...
Henning Bruhn
93
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DM
2008
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15 years 26 days ago
Nearlattices
By a nearlattice is meant a join-semilattice having the property that every principal filter is a lattice with respect to the semilattice order. We introduce the concept of (relat...
Ivan Chajda, Miroslav Kolarík
77
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DM
2008
112views more  DM 2008»
15 years 26 days ago
On the vertices of the k-additive core
The core of a game v on N, which is the set of additive games dominating v such that (N) = v(N), is a central notion in cooperative game theory, decision making and in combinator...
Michel Grabisch, Pedro Miranda
83
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DM
2008
79views more  DM 2008»
15 years 26 days ago
The reconstruction conjecture and edge ideals
Given a simple graph G on n vertices, we prove that it is possible to reconstruct several algebraic properties of the edge ideal from the deck of G, that is, from the collection o...
Kia Dalili, Sara Faridi, Will Traves
106
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DM
2008
102views more  DM 2008»
15 years 26 days ago
Largest subsemigroups of the full transformation monoid
In this paper we are concerned with the following question: for a semigroup S, what is the largest size of a subsemigroup T S where T has a given property? The semigroups S that w...
R. Gray, J. D. Mitchell