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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
0
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Partition of $\mathbb{F}_2^n$?
The answer to this question turns out to be negative i.e. in general it is not possible to partition the space $\mathbb{F}_2^n$ such that each partition has that property.
Consider the graph on $\mat …
2
votes
2
answers
233
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Partition of $\mathbb{F}_2^n$?
Consider an undirected graph $G$ with $n$ nodes denoted by $i$, $i \in [n] = \{1,2,...,n\}$. Denote the set of neighbours of node $i$ in the graph by $N(i)$.
Given that there exists a set $\mathcal{I …