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- W2892986218 abstract "The q-permanent linear preservers are described. We give several expansion formulas for the q-permanent of a square matrix, based on the cycle factorization of permutations. Some of these formulas are valid for all matrices, but others are not; for each such formula Φ we determine all digraphs D such that Φ holds for all matrices with digraph D. Proof techniques are based on combinatorial results, relating the length (number of inversions) of a permutation, the lengths of its cycles, and a delicate counting of crossings, jumps, and arc-under-arc relations in digraphs. We get new algebraic characterizations of noncrossing [acyclic] graphs." @default.
- W2892986218 created "2018-10-05" @default.
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- W2892986218 date "2019-01-01" @default.
- W2892986218 modified "2023-10-14" @default.
- W2892986218 title "Linear preservers for the q-permanent, cycle q-permanent expansions, and positive crossings in digraphs" @default.
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- W2892986218 doi "https://doi.org/10.1016/j.laa.2018.09.027" @default.
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