0
$\begingroup$

I wish to enumerate all quadrangulations of a $2p$ gon with $n$ internal vertices. Quadrangles are required to have simple faces. Simple face means all four vertices of each quadrangle are distinct.

Is anything known about this?

$\endgroup$

1 Answer 1

1
$\begingroup$

There are a number of subtly different definitions out there. The following two papers enumerate types of quadrangulations of a disk, but I didn't check if the type you are interested in is included:

W. G. Brown, Enumeration of quadrangular dissections of the disk, Canad. J. Math., 17 (1965) 302-317.

R. C. Mullin and P. J. Schellenberg, The enumeration of c-nets via quadrangulations, J. Combinatorial Theory, 4 (1968) 259-276.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.