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Results tagged with co.combinatorics
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user 63939
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
0
votes
Number of polytopes formed by connecting points on a hypercube
This is a counting problem, first we need to know a one thing:
How many lattice points exist on the boundary of our $L=[0,n]^d$ dimensional cube?
We only need count lattice points $x \in [o,n]^d$ …
5
votes
2
answers
1k
views
Proof that $3^ns + \sum_{k=0}^{n-1} 3^{n-k-1}2^{a_k}=2^m.$
How would I go about proving the following:
For any odd positive integer $s$, there exists a sequence of nonnegative integers $( a_0, a_1, \cdots, a_{n-1})$ and a nonnegative integer $m$ such that,
…