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DM
2008
87views more  DM 2008»
13 years 11 months ago
More on pooling spaces
A pooling space is a ranked poset P such that the subposet w+ induced by the elements above w is atomic for each element w of P. Pooling spaces were introduced in [Discrete Mathem...
Hau-wen Huang, Yu-pei Huang, Chih-wen Weng
DM
2008
58views more  DM 2008»
13 years 11 months ago
The vertex isoperimetric problem for the powers of the diamond graph
We introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has nested solutions. This is the fourth kind of graphs with this property besides the wel...
Sergei L. Bezrukov, Miquel Rius, Oriol Serra
DM
2008
113views more  DM 2008»
13 years 11 months ago
Multivariate Fuss-Catalan numbers
Catalan numbers C(n) = 1 n+1 2n n enumerate binary trees and Dyck paths. The distribution of paths with respect to their number k of factors is given by ballot numbers B(n, k) = n-...
Jean-Christophe Aval
DM
2008
80views more  DM 2008»
13 years 11 months ago
On affine designs and Hadamard designs with line spreads
Rahilly [10] described a construction that relates any Hadamard design H on 4m -1 points with a line spread to an affine design having the same parameters as the classical design ...
Vassili C. Mavron, T. P. McDonough, Vladimir D. To...
DM
2008
75views more  DM 2008»
13 years 11 months ago
Homogeneous factorisations of graph products
A homogeneous factorisation of a digraph consists of a partition P = {P1, . . . , Pk} of the arc set A and two vertex-transitive subgroups M G Aut() such that M fixes each Pi set...
Michael Giudici, Cai Heng Li, Primoz Potocnik, Che...
DM
2008
112views more  DM 2008»
13 years 11 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
DM
2008
78views more  DM 2008»
13 years 11 months ago
A symbolic operator approach to several summation formulas for power series II
Tian-Xiao He, Leetsch C. Hsu, Peter Jau-Shyong Shi...
DM
2008
56views more  DM 2008»
13 years 11 months ago
Note on the 3-graph counting lemma
Brendan Nagle, Vojtech Rödl, Mathias Schacht