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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
4
votes
1
answer
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Cohen-Macaulay versus shellable simplicial complexes
There are some discussion of shellable simplicial complexes here
Testing simplicial complexes for shellability. My question is the following:
Assume that $\Delta$ is a pure simplicial complex on a …
0
votes
An inequality related to the number of binary strings with no fixed substring
You may always assume that $f$ starts with a zero. For each $i = 1,\ldots, n-k+1$, let $S_i$ be the set of strings whose the substring from position $i$ to position $i+k-1$ is equal to $f$. It is triv …