0 involving two people or organizations, or existing in two parts: --
Here we have used a hybrid stimulus, counterphase modulation of a bipartite field.
The test and the mixture are presented to the observer on a bipartite field.
First, dispose of a pathological case: when there exists a very large complete bipartite subgraph.
Thus, f(m) is the largest integer f such that any graph with m edges contains a bipartite subgraph with at least f(m) edges.
This is so if the graph is bipartite, and it happens with probability 0 otherwise.
Let us now return to the question of a 'spectral theory' for bipartite graphs.
Here we will need a slight extension of that result, assuming that only two out of the three bipartite graphs are -regular.
A conceptual graph is a bipartite graph composed of conceptual relations and concepts that semantically characterize an object.