Comptes Rendus
Combinatoire
Newton polytope of good symmetric polynomials
Duc-Khanh Nguyen1  ; Giao Nguyen Thi Ngoc2 ; Hiep Dang Tuan3 ; Thuy Do Le Hai4
1 Department of Mathematics and Statistics, University at Albany, Albany, NY 12222, USA
2 Faculty of Advanced Science and Technology, University of Science and Technology - The University of Da Nang, 54 Nguyen Luong Bang, Da Nang, Vietnam
3 Department of Mathematics, Dalat University, 1 Phu Dong Thien Vuong, Ward 8, Dalat City, Lam Dong, Vietnam
4 Institute of Mathematics, Vietnam academy of science and technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 767-775.

We introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property. The class covers numerous previously studied symmetric polynomials.

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DOI : 10.5802/crmath.430
Classification : 52B20, 05E05
Duc-Khanh Nguyen 1 ; Giao Nguyen Thi Ngoc 2 ; Hiep Dang Tuan 3 ; Thuy Do Le Hai 4

1 Department of Mathematics and Statistics, University at Albany, Albany, NY 12222, USA
2 Faculty of Advanced Science and Technology, University of Science and Technology - The University of Da Nang, 54 Nguyen Luong Bang, Da Nang, Vietnam
3 Department of Mathematics, Dalat University, 1 Phu Dong Thien Vuong, Ward 8, Dalat City, Lam Dong, Vietnam
4 Institute of Mathematics, Vietnam academy of science and technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Newton polytope of good symmetric polynomials},
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     pages = {767--775},
     publisher = {Acad\'emie des sciences, Paris},
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     year = {2023},
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     language = {en},
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Duc-Khanh Nguyen; Giao Nguyen Thi Ngoc; Hiep Dang Tuan; Thuy Do Le Hai. Newton polytope of good symmetric polynomials. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 767-775. doi : 10.5802/crmath.430. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.430/

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