Geodesic
Combinatoire
Newton polytope of good symmetric polynomials
Nguyen, Duc-Khanh1  ; Nguyen Thi Ngoc, Giao2 ; Dang Tuan, Hiep3 ; Do Le Hai, Thuy4
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, Tome 361 (2023) no. G4, pp. 767-775

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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

Nguyen, Duc-Khanh 1 ; Nguyen Thi Ngoc, Giao 2 ; Dang Tuan, Hiep 3 ; Do Le Hai, Thuy 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},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {767--775},
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     doi = {10.5802/crmath.430},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/crmath.430/}
}
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Nguyen, Duc-Khanh; Nguyen Thi Ngoc, Giao; Dang Tuan, Hiep; Do Le Hai, Thuy. Newton polytope of good symmetric polynomials. Comptes Rendus. Mathématique, Tome 361 (2023) no. G4, pp. 767-775. doi: 10.5802/crmath.430

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