Enumeration of the Generalized Rook Monoid

Article Preview

Abstract:

The generalized rook monoid is introduced.The order of the generalized rook monoid is calculated and description of the generalized rook monoid is obtatined by matrices.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1495-1498

Citation:

Online since:

August 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] I. Gutman, D. Kianib, M. Mirzakhah, On incidence energy of graphs, MATCH Commun. Math. Comput. Chem. 62 (2009) : 573-580.

Google Scholar

[2] M. Aigner, A Course in Enumeration, third ed., Berlin, Germany, (2007).

Google Scholar

[3] Z. Tang, Y. Hou, On incidence energy of trees, MATCH Commun. Math. Comput. Chem. 66 (2011) : 977-984.

Google Scholar

[4] T. Halverson, Representations of the q-rook monoid, Journal of Algebra, 273(2004): 227-251.

DOI: 10.1016/j.jalgebra.2003.11.002

Google Scholar

[5] C. Grood , A Specht module analogue for the rook monoid, the Electronic Journal of Combinatorics, 9 (2002), Research Paper 2.

Google Scholar

[6] J. W. Davies, A. O. Morris, The Schur Multiplier of the Generalized Symmetric Group, Journal of the London Mathematical Society , 8(1974): 615-620.

DOI: 10.1112/jlms/s2-8.4.615

Google Scholar