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Results tagged with co.combinatorics
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user 5495
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
1
vote
When is a power of an indeterminate in an ideal with 2 generators?
There is certainly some structure in your example, so maybe also to other ideals that you have in mind?
The first thing I would do is to make experiments and try to guess a formula. Here is Macaul …
- 1,961
8
votes
Accepted
A regular polytope
Your polytope is the marginal polytope of the complete bipartite graph $K_{m,n}$ and almost a cut
polytope. Let $G = (V,E)$ be an undirected graph. A cut is a bipartition of the vertex set into two s …
- 1,961
4
votes
0
answers
187
views
A non-matroidal notion of dependence on a set of ideals
Assume we are given a set of ideals $I_1, \dots, I_s$ in a commutative polynomial ring. Let's define a subset indexed by $A\subseteq [s] = \{ 1,2,\dots, s\}$ as dependent if there exists an $a\in A$ s …
- 1,961