OFFSET
0,2
COMMENTS
A tatami tiling consists of dimers (1 X 2) and monomers (1 X 1) where no four meet at a point.
LINKS
A. Erickson, F. Ruskey, M. Schurch and J. Woodcock, Monomer-Dimer Tatami Tilings of Rectangular Regions, Electronic Journal of Combinatorics, 18(1) (2011) P109, 24 pages.
EXAMPLE
Here are some tatami tilings of the 7 X 3 grid:
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
|_ _| |_| |_| | |_| |_|_ _| |_| | |_ _| |_| |_| |_| | |_ _| |_|
|_ _|_| |_| |_| | |_|_ _| |_| | |_| |_|_| |_| | | |_|_| |_|_| |
|_|_ _|_|_|_|_| |_|_ _|_|_|_|_| |_|_|_ _|_|_|_| |_|_ _|_|_ _|_|
CROSSREFS
KEYWORD
nonn
AUTHOR
Frank Ruskey and Yuji Yamauchi (eugene.uti(AT)gmail.com), Jul 14 2011
STATUS
approved