Higher dimensional lattice paths with diagonal steps

✍ Scribed by B.R. Handa; S.G. Mohanty

• Publisher: Elsevier Science
• Year: 1976
• Tongue: English
• Weight: 475 KB
• Volume: 15
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(76)90079-0

✦ Synopsis

3 IS ;1976) l37--I blisfrinfz Company

Lattice paths with diagonal steps have Bern cons dered in [3--S, 'P-9] for the two dimensional-use and in [ 2,4,10] for tile three-dirllensional Case.

It may be observed that the idea of weighted lattice paths as discussed hy Fray and ssek is in a sense not a gener;Gzation af the usuai idea. in fact, Fray has recognized this in 12, pngc 2361. Thus, out a focused only on usttat lattice paths.

l1n examining the tcsztlts in 171. one suspect:s that the lattice paths with diagonal steps might be in some way related to the lattice patirs Gthoiit diagolrrrl steps in higher dimension. The puroose of t . tain the truth of the conjlrcture and to count lattice boundary.