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ACS
2010
14 years 10 months ago
Graded and Koszul Categories
Koszul algebras have arisen in many contexts; algebraic geometry, combinatorics, Lie algebras, non-commutative geometry and topology. The aim of this paper and several sequel paper...
Roberto Martínez-Villa, Øyvind Solbe...
CORR
2010
Springer
66views Education» more  CORR 2010»
14 years 9 months ago
The overlap number of a graph
An overlap representation is an assignment of sets to the vertices of a graph in such a way that two vertices are adjacent if and only if the sets assigned to them overlap. The ov...
Bill Rosgen, Lorna Stewart
DCG
2008
88views more  DCG 2008»
14 years 9 months ago
On the Number of Birch Partitions
Birch and Tverberg partitions are closely related concepts from discrete geometry. We show two properties for the number of Birch partitions: Evenness, and a lower bound. This imp...
Stephan Hell
DM
2008
112views more  DM 2008»
14 years 9 months 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
IJAC
2008
158views more  IJAC 2008»
14 years 9 months ago
The Braid rook Monoid
species and combinatorial Hopf algebras on the one hand, and quantum groups and the classification theory of abstract Hopf algebras on the other. This is part of joint work with Sw...
Eddy Godelle