Newton polytope of good symmetric polynomials

Duc-Khanh Nguyen; Giao Nguyen Thi Ngoc; Hiep Dang Tuan; Thuy Do Le Hai

doi:10.5802/crmath.430

Combinatoire

Newton polytope of good symmetric polynomials

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

Comptes Rendus. Mathématique, Volume 361 (2023), pp. 767-775.

Résumé

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.

Reçu le : 2022-08-11
Révisé le : 2022-09-22
Accepté le : 2022-09-24
Publié le : 2023-05-11

DOI : 10.5802/crmath.430

Classification : 52B20, 05E05

Affiliations des auteurs :

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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     author = {Duc-Khanh Nguyen and Giao Nguyen Thi Ngoc and Hiep Dang Tuan and Thuy Do Le Hai},
     title = {Newton polytope of good symmetric polynomials},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {767--775},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     year = {2023},
     doi = {10.5802/crmath.430},
     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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