A Note on Permanents
Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 1-4
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Let A = (aij ) be an m × n matrix and let K = {s 1, ..., sk } be a k-subset from {1, 2, ..., n}. For 0≤t≤k≤n define the (t, K)-permanent of A to be (1) the summation taken over all m-tuples (i 1, i 2, ..., im ) (repetitions allowed) of 1, 2, ..., n each containing exactly t distinct entries from K and any number of distinct entries from the remaining n-k integers. For example, (4, 4, 7, 1, 1, 2), (4, 4, 6, 6, 6, 5) are 6-tuples, each containing exactly two distinct entries from K={2, 4, 5} for n ≥ 7.
Abramson, Morton. A Note on Permanents. Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 1-4. doi: 10.4153/CMB-1971-001-3
@article{10_4153_CMB_1971_001_3,
author = {Abramson, Morton},
title = {A {Note} on {Permanents}},
journal = {Canadian mathematical bulletin},
pages = {1--4},
year = {1971},
volume = {14},
number = {1},
doi = {10.4153/CMB-1971-001-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-001-3/}
}
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