Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice

Details Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice

2004-03-10

arxiv.org/abs/math/0403168v1

Theoretical Computer Science 346 (2005), 307--334.

Mathematics

Combinatorics

21 pages, 16 figures, 2 tables. This is the full version of a paper presented at the FPSAC Conference in Vancouver, Canada, Ju

Scientific paper

Hexagonal polyominoes are polyominoes on the honeycomb lattice. We enumerate the symmetry classes of convex hexagonal polyominoes. Here convexity is to be understood as convexity along the three main column directions. We deduce the generating series of free (i.e. up to reflection and rotation) and of asymmetric convex hexagonal polyominoes, according to area and half-perimeter. We give explicit formulas or implicit functional equations for the generating series, which are convenient for computer algebra.

Affiliated with

Also associated with

No associations

Rating

Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418637