Publications

Journal publications

Characteristic Polynomials of Supertropical Matrices

Comm. in Algebra, vol 42, Issue 2, pp. 528-539 (2013).

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Factorization of tropical matrices

J. Algebra Appl., vol 13, 1350066 (2014).
*Selected by the publisher as one of "the best papers published in 2014".

On pseudo-inverses of matrices and their characteristic polynomials in supertropical algebra

Linear Algebra Appl., vol 471, pp. 264-290 (2015).

 

Dependence of tropical eigenspaces

(with L. Rowen).

Comm. in Algebra, vol 45, Issue 3, pp. 924-942 (2016).

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Tropical  SLn

(with Z. Izhakian and L. Rowen)

Linear and Multilinear Algebra, vol 66(7), pp. 1461-1483 (2017).

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Tropical compound matrix identities

(with M. Akian and S. Gaubert)

Linear Algebra Appl., vol 551, pp. 162-206 (2018).

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Tropical totally positive matrices

(with S. Gaubert)

Journal of Algebra, vol 515, pp. 511-544 (2018).

 

Optimal Assignments with Supervisions

(with M. MacCaig and S. Sergeev)

Linear Algebra Appl., vol 595, pp. 72-100 (2020).

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Tropical planar networks

(with S. Gaubert)

Linear Algebra Appl., vol 595, pp. 123-144 (2020).

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Using combinatorial games to explore equivalences and differences. 

(with D. Patkin)

Learning and Teaching Mathematics, vol 28, pp. 8-11 (2020).

 

 

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Preprints

Max-Plus determinantal identities
(with M. Akian)

Tropical elementary matrices
(with S. Sergeev)

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Roof-slope and diflection-hight formulas for civil engineers

(with D. Raviv)

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