Graphical Approach to Index and Retrieve Standard Young Tableaux
نویسندگان
چکیده
منابع مشابه
Graphical Approach to Index and Retrieve Standard Young Tableaux
The Standard Young Tableaux are used to label the basis vectors of the standard or Young Yamanouchi basis of the symmetric group. There is a one to one correspondence between the eigen values of the Complete Set of Commuting Operators-I (CSCO-I) of Symmetric group of degree n (Sn) and the Standard Young Tableaux(SYT). In this paper, a new graphical method to index and retrieve the standard Youn...
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A simple bijection is given between dissections of a convex n gon with d diagonals not intersecting in their interiors and standard Young tableaux of shape d d n d Partially supported by National Science Foundation grant DMS For d n let f n d be the number of ways to draw d diagonals in a convex n gon such that no two diagonals intersect in their interior For instance f n n is just the Catalan ...
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In this paper, we propose a notion of colored Motzkin paths and establish a bijection between the n-cell standard Young tableaux (SYT) of bounded height and the colored Motzkin paths of length n. This result not only gives a lattice path interpretation of the standard Young tableaux but also reveals an unexpected intrinsic relation between the set of SYTs with at most 2d+ 1 rows and the set of ...
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ژورنال
عنوان ژورنال: International Journal of Computer Applications
سال: 2015
ISSN: 0975-8887
DOI: 10.5120/19573-1371