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The amount of time resources (number of atomic operations or machine steps) required to solve a problem expressed in terms of input size. If your question concerns algorithm analysis, use the [runtime-analysis] tag instead. If your question concerns whether or not a computation will *ever* finish, use the [computability] tag instead. Time-complexity is perhaps the most important sub-topic of complexity theory.

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Time complexity of finding a fixed-size matching in a hypergraph

Define a size $k$ matching in a hypergraph $H = (V,E)$ to be a collection of $k$ pairwise disjoint edges in $E$. Is anyone aware of the (best-known) time complexity of finding, for fixed $k$, a size $ …
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2 votes
2 answers
287 views

On the time complexity of finding independent sets in hypergraphs

I am interested in the complexity of the following problems: (a) Finding an independent set of a fixed size in an arbitrary hypergraph (b) Finding an independent set of maximum size in an arbitrary h …
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1 vote
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Time complexity of an algorithm for finding a cycle of fixed length

I am considering the following algorithm for obtaining a cycle $C_k$ of fixed length $k$ in an undirected graph $G$. Assuming $G$ is in adjacency list form, say $r \in G$ is the root for a truncated D …
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