Note of the enumeration formula of standard Young tableaux of truncated shape (nm)∖(2). (May 2015)

• Record Type: Journal Article
• Authors: Sun, Ping
• Is Part Of: European journal of combinatorics. Volume 46(2015:May)
• Page Start: 126
• Page End: 133
• Publication Date: 2015-05
• Subjects: Combinatorial analysis -- Periodicals; Analyse combinatoire -- Périodiques; Combinatorial analysis; Periodicals; Electronic journals; 511.6
• DOI: 10.1016/j.ejc.2015.01.003
• Languages: English
• ISSNs: 0195-6698

Abstract

Abstract: In this paper integration method is used to derive the enumeration formulas of the standard Young tableau (SYT) of truncated shape. An integration representation of the number of SYT of truncated shape ( n m ) ∖ ( 2 ) is given, which implies a positive proof of the conjecture of Adin et al. on the number of SYT of truncated shape ( n n ) ∖ ( 2 ) . Furthermore, the enumeration formulas of the numbers of SYTs of truncated shapes ( n n − k ) ∖ ( 2 ) and ( n n − k ) ∖ ( 1, 1 ) ( k = 1, 2 ) have been obtained.