# Which complete two-part graphs are trees

## Translation of "bipartite graph" in German

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8 ladies face 7 gentlemen in a bipartite graph.
It has been known for a long time that every dense bipartite graph contains a balanced biclique of size O (log (n)), but whether and how such a biclique can be constructed in polynomial time is still unknown.
It has long been known that in dense bipartite graph balanced bicliques with O (log (n)) nodes exist, but it is unknown whether and how these can be constructed in polynomial time.
The method of claim 1 wherein the bipartite graph includes at least one loop.
The method of claim 1 further comprising: evaluating an error rate for the renormalized bipartite graph.
A node placement method according to claim 1, wherein said 2nd substep (144) of said third step includes preferentially matching nodes having a larger level difference therebetween for the maximum matching of said bipartite graph.
The node positioning method of claim 1, wherein the second substep (144) of the third step includes preferentially adjusting nodes with a greater level difference therebetween for maximum adjustment of the two-part graph.
A schematic generating method according to claim 5, wherein said 2nd substep (144) of said third step includes preferentially matching nodes having a larger level difference therebetween for the maximum matching of said bipartite graph.
Schematic generation method according to claim 5, wherein the second substep (144) of the third step preferably includes matching nodes for a maximum match of the two-part graph have a greater level difference between them.
The left one is the complete graph of degree 5, which is denoted as K5; the right one is the complete bipartite graph with 3 nodes in each subset, which is denoted as K3,3.
The left is the full graph of degree 5 labeled K5; the right one is the complete one bipartite graph with 3 nodes in each subset and is referred to as K3,3.
Bipartite graph: graph with two disjoint vertex sets and edges between the two sets, but not within a single set (German: bipartiter graph)
bipartite graph: Graph with two disjoint sets of nodes and edges between nodes of the sets, but without edges within a set (English: bipartite graph)
By placing restrictions on the enumerated Prüfer sequences, similar methods can give the number of spanning trees of a complete bipartite graph.
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