scholarly journals MMS-type problems for Johnson scheme

2018 ◽  
Vol 15 ◽  
pp. 1663-1670
Author(s):  
I. Yu. Mogilnykh ◽  
K. V. Vorob'ev ◽  
A. A. Valyuzhenich
Keyword(s):  
Johnson Scheme

scholarly journals Zeons, Permanents, the Johnson Scheme, and Generalized Derangements

2011 ◽  
Vol 2011 ◽  
pp. 1-29 ◽  
Author(s):  
Philip Feinsilver ◽  
John McSorley
Keyword(s):  
Linear Combination ◽  
Exponential Distribution ◽  
Trace Formula ◽  
Association Scheme ◽  
Permutation Groups ◽  
Identity Matrix ◽  
Johnson Scheme ◽  
Master Theorem

Starting with the zero-square “zeon algebra,” the connection with permanents is shown. Permanents of submatrices of a linear combination of the identity matrix and all-ones matrix lead to moment polynomials with respect to the exponential distribution. A permanent trace formula analogous to MacMahon's master theorem is presented and applied. Connections with permutation groups acting on sets and the Johnson association scheme arise. The families of numbers appearing as matrix entries turn out to be related to interesting variations on derangements. These generalized derangements are considered in detail as an illustration of the theory.

scholarly journals Perfect quantum state transfer on the Johnson scheme

2020 ◽  
Vol 584 ◽  
pp. 326-342
Author(s):  
Bahman Ahmadi ◽  
M.H. Shirdareh Haghighi ◽  
Ahmad Mokhtar
Keyword(s):  
Quantum State ◽  
Quantum State Transfer ◽  
State Transfer ◽  
Johnson Scheme

The Johnson scheme

2015 ◽  
pp. 112-125
Author(s):  
Christopher Godsil ◽  
Karen Meagher
Keyword(s):  
Johnson Scheme

scholarly journals Subschemes of the Johnson scheme

1992 ◽  
Vol 13 (3) ◽  
pp. 187-193 ◽  
Author(s):  
M.E. Muzychuk
Keyword(s):  
Johnson Scheme

A local characterization of the johnson scheme

COMBINATORICA ◽  
1987 ◽  
Vol 7 (1) ◽  
pp. 77-85 ◽  
Author(s):  
J. I. Hall
Keyword(s):  
Johnson Scheme ◽  
Local Characterization
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