A Bijection for Some Paths on the Slit Plane

✍ Scribed by Elena Barcucci; Elisa Pergola; Renzo Pinzani; Simone Rinaldi

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 125 KB
• Volume: 26
• Category: Article
• ISSN: 0196-8858
• DOI: 10.1006/aama.2000.0709

✦ Synopsis

This paper deals with a study of the class of lattice paths, made of north, east, south, and west unit steps, which being at -1 0 and end at 0 0 , avoiding the non-negative x-axis. is bijectively proved to be enumerated by odd index Catalan numbers according to the number of steps.