X-Nico

5 unusual facts about bipartite graph


Bipartite

Bipartite graph, a graph in which the vertices are partitioned into two sets and every edge has an endpoint in each set

Bipartite network projection

Bipartite network projection is an extensively used method for compressing information about bipartite networks.

Complexity of constraint satisfaction

More precisely, the problem is polynomial-time if the graph is 2-colorable, that is, it is bipartite, and is NP-complete otherwise.

Constraint Composite Graph

Many subclasses of weighted constraint satisfaction problems that are tractable by virtue of the numerical structure of their weighted constraints have associated constraint composite graphs that are bipartite in nature.

Hidden transformation

The graph representing the result of this transformation is bipartite, as all constraints are between a new and an old variable.


Holographic algorithm

Soon after, Valiant found holographic algorithms with reductions to matchgates for #Pl-Rtw-Mon-3CNF and #7Pl-3/2Bip-VC.


see also