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Author ID: bihan.frederic Recent zbMATH articles by "Bihan, Frédéric"
Published as: Bihan, Frédéric; Bihan, F.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 175 times in 97 Documents Cited by Year
New fewnomial upper bounds from Gale dual polynomial systems. Zbl 1148.14028
Bihan, Frédéric; Sottile, Frank
25
2007
Lower bounds for positive roots and regions of multistationarity in chemical reaction networks. Zbl 1453.92120
Bihan, Frédéric; Dickenstein, Alicia; Giaroli, Magalí
13
2020
Irrational mixed decomposition and sharp fewnomial bounds for tropical polynomial systems. Zbl 1375.14210
Bihan, Frédéric
12
2016
Polynomial systems supported on circuits and dessins d’enfants. Zbl 1119.12002
Bihan, Frédéric
12
2007
Regions of multistationarity in cascades of Goldbeter-Koshland loops. Zbl 1409.92103
Giaroli, Magalí; Bihan, Frédéric; Dickenstein, Alicia
10
2019
Descartes’ rule of signs for polynomial systems supported on circuits. Zbl 1405.14131
Bihan, Frédéric; Dickenstein, Alicia
10
2017
A polyhedral method for sparse systems with many positive solutions. Zbl 1473.14111
Bihan, Frédéric; Santos, Francisco; Spaenlehauer, Pierre-Jean
9
2018
Viro method for the construction of real complete intersections. Zbl 1048.14035
Bihan, F.
9
2002
Bounds on the number of real solutions to polynomial equations. Zbl 1129.14077
Bates, Daniel J.; Bihan, Frédéric; Sottile, Frank
8
2007
Is every toric variety an \(M\)-variety? Zbl 1106.14047
Bihan, Frédéric; Franz, Matthias; McCrory, Clint; van Hamel, Joost
7
2006
Faster real feasibility via circuit discriminants. Zbl 1237.68251
Bihan, Frédéric; Rojas, J. Maurice; Stella, Casey E.
7
2009
Criteria for strict monotonicity of the mixed volume of convex polytopes. Zbl 1428.52011
Bihan, Frédéric; Soprunov, Ivan
6
2019
On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces. Zbl 1132.14334
Bihan, Frédéric; Rojas, J. Maurice; Sottile, Frank
6
2008
Gale duality for complete intersections. Zbl 1243.14044
Bihan, Frédéric; Sottile, Frank
6
2008
Polynomial systems with few real zeroes. Zbl 1102.14039
Bertrand, Benoît; Bihan, Frédéric; Sottile, Frank
6
2006
Asymptotic behaviour of Betti numbers of real algebraic surfaces. Zbl 1022.14018
Bihan, F.
5
2003
Intersection multiplicity numbers between tropical hypersurfaces. Zbl 1312.14139
Bertrand, Benoît; Bihan, Frédéric
5
2013
A sharp bound on the number of real intersection points of a sparse plane curve with a line. Zbl 1429.14021
Bihan, Frédéric; El Hilany, Boulos
4
2017
Fewnomial bounds for completely mixed polynomial systems. Zbl 1232.14041
Bihan, Frédéric; Sottile, Frank
4
2011
Betti number bounds for fewnomial hypersurfaces via stratified Morse theory. Zbl 1185.14052
Bihan, Frédéric; Sottile, Frank
3
2009
A real numeric quintic surface whose first Betti number is maximal. (Une quintique numérique réelle dont le premier nombre de Betti est maximal.) Zbl 0973.14032
Bihan, Frédéric
2
1999
A sextic in real projective space with a large number of handles. (Une sextique de l’espace projectif réel avec un grand nombre d’anses.) Zbl 1073.14558
Bihan, F.
2
2001
Betti numbers of real numerical quintic surfaces. Zbl 0988.14026
Bihan, F.
1
2001
Maximally positive polynomial systems supported on circuits. Zbl 1308.14062
Bihan, Frédéric
1
2015
Topological types of real regular Jacobian elliptic surfaces. Zbl 1134.14031
Bihan, Frédéric; Mangolte, Frédéric
1
2007
Optimal Descartes’ rule of signs for systems supported on circuits. Zbl 1487.14129
Bihan, Frédéric; Dickenstein, Alicia; Forsgård, Jens
1
2021
Optimal Descartes’ rule of signs for systems supported on circuits. Zbl 1487.14129
Bihan, Frédéric; Dickenstein, Alicia; Forsgård, Jens
1
2021
Lower bounds for positive roots and regions of multistationarity in chemical reaction networks. Zbl 1453.92120
Bihan, Frédéric; Dickenstein, Alicia; Giaroli, Magalí
13
2020
Regions of multistationarity in cascades of Goldbeter-Koshland loops. Zbl 1409.92103
Giaroli, Magalí; Bihan, Frédéric; Dickenstein, Alicia
10
2019
Criteria for strict monotonicity of the mixed volume of convex polytopes. Zbl 1428.52011
Bihan, Frédéric; Soprunov, Ivan
6
2019
A polyhedral method for sparse systems with many positive solutions. Zbl 1473.14111
Bihan, Frédéric; Santos, Francisco; Spaenlehauer, Pierre-Jean
9
2018
Descartes’ rule of signs for polynomial systems supported on circuits. Zbl 1405.14131
Bihan, Frédéric; Dickenstein, Alicia
10
2017
A sharp bound on the number of real intersection points of a sparse plane curve with a line. Zbl 1429.14021
Bihan, Frédéric; El Hilany, Boulos
4
2017
Irrational mixed decomposition and sharp fewnomial bounds for tropical polynomial systems. Zbl 1375.14210
Bihan, Frédéric
12
2016
Maximally positive polynomial systems supported on circuits. Zbl 1308.14062
Bihan, Frédéric
1
2015
Intersection multiplicity numbers between tropical hypersurfaces. Zbl 1312.14139
Bertrand, Benoît; Bihan, Frédéric
5
2013
Fewnomial bounds for completely mixed polynomial systems. Zbl 1232.14041
Bihan, Frédéric; Sottile, Frank
4
2011
Faster real feasibility via circuit discriminants. Zbl 1237.68251
Bihan, Frédéric; Rojas, J. Maurice; Stella, Casey E.
7
2009
Betti number bounds for fewnomial hypersurfaces via stratified Morse theory. Zbl 1185.14052
Bihan, Frédéric; Sottile, Frank
3
2009
On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces. Zbl 1132.14334
Bihan, Frédéric; Rojas, J. Maurice; Sottile, Frank
6
2008
Gale duality for complete intersections. Zbl 1243.14044
Bihan, Frédéric; Sottile, Frank
6
2008
New fewnomial upper bounds from Gale dual polynomial systems. Zbl 1148.14028
Bihan, Frédéric; Sottile, Frank
25
2007
Polynomial systems supported on circuits and dessins d’enfants. Zbl 1119.12002
Bihan, Frédéric
12
2007
Bounds on the number of real solutions to polynomial equations. Zbl 1129.14077
Bates, Daniel J.; Bihan, Frédéric; Sottile, Frank
8
2007
Topological types of real regular Jacobian elliptic surfaces. Zbl 1134.14031
Bihan, Frédéric; Mangolte, Frédéric
1
2007
Is every toric variety an \(M\)-variety? Zbl 1106.14047
Bihan, Frédéric; Franz, Matthias; McCrory, Clint; van Hamel, Joost
7
2006
Polynomial systems with few real zeroes. Zbl 1102.14039
Bertrand, Benoît; Bihan, Frédéric; Sottile, Frank
6
2006
Asymptotic behaviour of Betti numbers of real algebraic surfaces. Zbl 1022.14018
Bihan, F.
5
2003
Viro method for the construction of real complete intersections. Zbl 1048.14035
Bihan, F.
9
2002
A sextic in real projective space with a large number of handles. (Une sextique de l’espace projectif réel avec un grand nombre d’anses.) Zbl 1073.14558
Bihan, F.
2
2001
Betti numbers of real numerical quintic surfaces. Zbl 0988.14026
Bihan, F.
1
2001
A real numeric quintic surface whose first Betti number is maximal. (Une quintique numérique réelle dont le premier nombre de Betti est maximal.) Zbl 0973.14032
Bihan, Frédéric
2
1999
all top 5

Cited by 133 Authors

15 Bihan, Frédéric
10 Dickenstein, Alicia M.
9 Feliu, Elisenda
7 Sottile, Frank
4 de Wolff, Timo
4 Giaroli, Magalí
4 Rojas, J. Maurice
4 Shiu, Anne
3 Avendano, Martin
3 Du, Weiping
3 El Hilany, Boulos
3 Forsgård, Jens
3 Grigor’ev, Dmitriĭ Yur’evich
3 Koiran, Pascal
3 Lai, Yisheng
3 Sanyal, Raman
3 Yürük, Oğuzhan
2 Argüz, Hülya
2 Bartzos, Evangelos
2 Bates, Daniel J.
2 Bertrand, Benoît
2 Biswas, Indranil
2 Bürgisser, Peter
2 Conradi, Carsten
2 Craciun, Gheorghe
2 D’Mello, Shane
2 Emiris, Ioannis Z.
2 Ergür, Alperen Ali
2 Haase, Christian Alexander
2 Hauenstein, Jonathan D.
2 Hower, Valerie
2 Jochemko, Katharina Victoria
2 Kaihnsa, Nidhi
2 Millán, Mercedes Pérez
2 Nill, Benjamin
2 Obatake, Nida
2 Portier, Natacha
2 Renaudineau, Arthur
2 Sadeghimanesh, AmirHosein
2 Skomra, Mateusz
2 Spaenlehauer, Pierre-Jean
2 Tang, Xiaoxian
2 Theobald, Thorsten
2 Torres, Angélica
2 Wang, Renhong
1 Akriche, Mouadh
1 Allamigeon, Xavier
1 Arnal, Charles
1 Bender, Matías R.
1 Berg, Sören Lennart
1 Bernal, Edgar A.
1 Bi, Jingguo
1 Boros, Balázs
1 Breiding, Paul
1 Brustenga i Moncusí, Laura
1 Cappelletti, Daniele
1 Çelik, Türkü Özlüm
1 Chattopadhyay, Arkadev
1 Chen, Changbo
1 Chen, Tianran
1 Cheng, Qi
1 Davydow, Alex
1 Di Rocco, Sandra
1 Duan, Dexin
1 Duff, Timothy
1 Fang, Xiaoke
1 Franz, Matthias
1 Frick, Florian
1 Gasull, Armengol
1 Gaubert, Stéphane
1 Grenet, Bruno
1 Gross, Elizabeth
1 Heaton, Alexander
1 Helmer, Martin
1 Herrero, María Isabel
1 Hill, Cvetelina
1 Iosif, Alexandru
1 Juhnke-Kubitzke, Martina
1 Kahle, Thomas
1 Kogan, Roman
1 Lasserre, Jean-Bernard
1 Laurent, Monique
1 Legerský, Jan
1 Lindberg, Julia
1 Mangolte, Frédéric
1 Maraj, Aida
1 McCrory, Clint G.
1 Mehta, Dhagash
1 Moulahi, Samir
1 Mourrain, Bernard
1 Müller, Stefan
1 Nicholson, Nathan L.
1 Niemerg, Matthew E.
1 Nisse, Mounir
1 Parusiński, Adam
1 Pébay, Philippe P.
1 Podol’skiĭ, Vladimir Vladimirovich
1 Postinghel, Elisa
1 Prince, Thomas M.
1 Regan, Margaret H.
...and 33 more Authors
all top 5

Cited in 57 Serials

7 Journal of Symbolic Computation
6 Discrete & Computational Geometry
5 Advances in Mathematics
4 Bulletin of Mathematical Biology
4 Foundations of Computational Mathematics
3 Journal of Algebra
3 Journal of Pure and Applied Algebra
3 SIAM Journal on Applied Dynamical Systems
3 SIAM Journal on Applied Algebra and Geometry
2 Journal of Mathematical Biology
2 Geometriae Dedicata
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Advances in Applied Mathematics
2 Arnold Mathematical Journal
1 Mathematical Biosciences
1 Mathematics of Computation
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Collectanea Mathematica
1 Journal of Combinatorial Theory. Series A
1 Journal of Computational and Applied Mathematics
1 Mathematische Annalen
1 SIAM Journal on Computing
1 Theoretical Computer Science
1 Journal of Complexity
1 Journal of the Ramanujan Mathematical Society
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 Automation and Remote Control
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal of Dynamics and Differential Equations
1 Applicable Algebra in Engineering, Communication and Computing
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 The Electronic Journal of Combinatorics
1 Abstract and Applied Analysis
1 Annals of Combinatorics
1 Revista Matemática Complutense
1 Far East Journal of Applied Mathematics
1 Advances in Geometry
1 Journal of Algebra and its Applications
1 Mathematical Biosciences and Engineering
1 Journal of Topology
1 Involve
1 Science China. Mathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Numerical Algebra, Control and Optimization
1 S\(\vec{\text{e}}\)MA Journal
1 European Journal of Mathematics

Citations by Year