I have an arbitrary directed, non-complete graph. I would like to find a maximal subset of nodes within that graph such that the induced subgraph has no cycles. I'm sure there must be a name for this problem in the literature - do you know what it is?
2026-04-04 05:39:21.1775281161
What is the literature on optimizing for maximum nodes in a graph without cycles?
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This is the "maximum acyclic subgraph" problem (just search Google).
I once used such a thing for an info-theory bound on an "index coding" problem (but for a directed graph in that case), Lemma 1 here:
http://ee.usc.edu/stochastic-nets/docs/dynamic-index-coding-it.pdf