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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
1k views

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 …
Thanh Vu's user avatar
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 …
Thanh Vu's user avatar