Talk:Bipartite dimension

Connection to set basis problem

I'm confused as how the set basis problem fits in here. I see how the collection of sets can be viewed as a bipartite graph, but it's not clear that when you translate the problem to this view you get anything relating to bipartite dimension. --RDBury (talk) 05:50, 18 August 2013 (UTC)

In the set basis problem, we are given a collection C of sets over a universe of elements, and the problem is to determine a family F of sets such that every set in C can be expressed as a union of sets in F. C can be interpreted as a bipartite graph with sets on one side and elements on the other. Every set S in a family F of sets corresponds to a biclique that has the elements of S on the element side and the sets in C that are subsets of S on the set side. F is a set basis if and only if these bicliques cover the bipartite graph determined by C.

By the way, re your recent tagging of the article as lacking inline sources: see Please see WP:HARV. The article does in fact have many inline citations, in an approved style for Wikipedia. —David Eppstein (talk) 06:18, 18 August 2013 (UTC)

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