All Questions

How many planar bipartite graphs are there with $m$ vertices of one color and $n$ vertices of the other color? How many non-isomorphic classes exist?

Given set $\mathcal T_n=\{0,1,\dots,2^n-1\}$ what is the minimum number of vertices $2m$ needed in a planar bipartite balanced graph such that at every $i\in\mathcal T_n$ there is a graph $G\in\...

Instances of SAT induce a bipartite graph between clauses vertices and variable vertices, and for planar 3SAT, the resulting bipartite graph is planar. It would be very convenient if there was a ...