Rhombus Tilings of a Hexagon with Three Fixed Border Tiles

Details Rhombus Tilings of a Hexagon with Three Fixed Border Tiles Rhombus Tilings of a Hexagon with Three Fixed Border Tiles

1997-12-22

arxiv.org/abs/math/9712261v2

J. Combin. Theory Ser. A 88 (1999), 368-378

Mathematics

Combinatorics

7 pages, AmS-LaTeX, uses TeXDraw; revised version which is to appear in J. Combin. Theory Ser. A

Scientific paper

We compute the number of rhombus tilings of a hexagon with sides $a+2,b+2,c+2,a+2,b+2,c+2$ with three fixed tiles touching the border. The particular case $a=b=c$ solves a problem posed by Propp. Our result can also be viewed as the enumeration of plane partitions having $a+2$ rows and $b+2$ columns, with largest entry $\le c+2$, with a given number of entries $c+2$ in the first row, a given number of entries 0 in the last column and a given bottom-left entry.

Affiliated with

Also associated with

No associations

Rating

Rhombus Tilings of a Hexagon with Three Fixed Border Tiles 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 Rhombus Tilings of a Hexagon with Three Fixed Border Tiles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rhombus Tilings of a Hexagon with Three Fixed Border Tiles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-516997