{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,8]],"date-time":"2025-11-08T13:03:25Z","timestamp":1762607005469,"version":"3.37.3"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2017,5,25]],"date-time":"2017-05-25T00:00:00Z","timestamp":1495670400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2017,9]]},"DOI":"10.1007\/s00454-017-9897-4","type":"journal-article","created":{"date-parts":[[2017,5,25]],"date-time":"2017-05-25T09:28:36Z","timestamp":1495704516000},"page":"355-370","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Characterization of Circuits Supporting Polynomial Systems with the Maximal Number of Positive Solutions"],"prefix":"10.1007","volume":"58","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9654-906X","authenticated-orcid":false,"given":"Boulos","family":"El Hilany","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,5,25]]},"reference":[{"issue":"2","key":"9897_CR1","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1007\/s00209-005-0912-8","volume":"253","author":"B Bertrand","year":"2006","unstructured":"Bertrand, B., Bihan, F., Sottile, F.: Polynomial systems with few real zeroes. Math. Z. 253(2), 361\u2013385 (2006)","journal-title":"Math. Z."},{"issue":"1","key":"9897_CR2","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1112\/jlms\/jdl013","volume":"75","author":"F Bihan","year":"2007","unstructured":"Bihan, F.: Polynomial systems supported on circuits and dessins d\u2019enfants. J. Lond. Math. Soc. 75(1), 116\u2013132 (2007)","journal-title":"J. Lond. Math. Soc."},{"issue":"2","key":"9897_CR3","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/j.jsc.2014.09.003","volume":"68","author":"F Bihan","year":"2015","unstructured":"Bihan, F.: Maximally positive polynomial systems supported on circuits. J. Symb. Comput. 68(2), 61\u201374 (2015)","journal-title":"J. Symb. Comput."},{"key":"9897_CR4","doi-asserted-by":"crossref","unstructured":"Bihan, F., Dickenstein, A.: Descartes\u2019 rule of signs for polynomial systems supported on circuits. arXiv:1601.05826 (2016)","DOI":"10.1093\/imrn\/rnw199"},{"key":"9897_CR5","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1016\/j.jsc.2016.12.003","volume":"81","author":"F Bihan","year":"2017","unstructured":"Bihan, F., El Hilany, B.: A sharp bound on the number of real intersection points of a sparse plane curve with a line. J. Symb. Comput. 81, 88\u201396 (2017)","journal-title":"J. Symb. Comput."},{"issue":"3","key":"9897_CR6","doi-asserted-by":"crossref","first-page":"387","DOI":"10.17323\/1609-4514-2007-7-3-387-407","volume":"7","author":"F Bihan","year":"2007","unstructured":"Bihan, F., Sottile, F.: New fewnomial upper bounds from Gale dual polynomial systems. Mosc. Math. J. 7(3), 387\u2013407 (2007)","journal-title":"Mosc. Math. J."},{"issue":"3","key":"9897_CR7","doi-asserted-by":"crossref","first-page":"877","DOI":"10.5802\/aif.2372","volume":"58","author":"F Bihan","year":"2008","unstructured":"Bihan, F., Sottile, F.: Gale duality for complete intersections. Ann. Inst. Fourier (Grenoble) 58(3), 877\u2013891 (2008)","journal-title":"Ann. Inst. Fourier (Grenoble)"},{"issue":"3","key":"9897_CR8","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1215\/S0012-7094-06-13136-8","volume":"131","author":"E Brugall\u00e9","year":"2006","unstructured":"Brugall\u00e9, E.: Real plane algebraic curves with asymptotically maximal number of even ovals. Duke Math. J. 131(3), 575\u2013587 (2006)","journal-title":"Duke Math. J."},{"key":"9897_CR9","doi-asserted-by":"crossref","unstructured":"Khovanski\u012d, A.G.: Fewnomials. In: Translations of Mathematical Monographs, vol. 88. American Mathematical Society, Providence (1991)","DOI":"10.1090\/mmono\/088"},{"key":"9897_CR10","unstructured":"Kushnirenko, A.G.: The Newton polyhedron and the number of solutions of a system of $$k$$ k equations in $$k$$ k unknowns. In: Sessions of the I.G. Petrovski\u012d Seminar on Differential Equations and Mathematical Problems of Physics. Usp. Mat. Nauk 30(2), 266\u2013267 (1975) (in Russian)"},{"issue":"3","key":"9897_CR11","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1007\/s00454-003-2834-8","volume":"30","author":"T-Y Li","year":"2003","unstructured":"Li, T.-Y., Rojas, J.M., Wang, X.: Counting real connected components of trinomial curve intersections and $$m$$ m -nomial hypersurfaces. Discrete Comput. Geom. 30(3), 379\u2013414 (2003)","journal-title":"Discrete Comput. Geom."},{"key":"9897_CR12","doi-asserted-by":"crossref","unstructured":"Orevkov, S.Yu.: Riemann existence theorem and construction of real algebraic curves. Ann. Fac. Sci. Toulouse Math. 12(4), 517\u2013531 (2003)","DOI":"10.5802\/afst.1060"},{"key":"9897_CR13","doi-asserted-by":"crossref","unstructured":"Phillipson, K., Rojas, J.M.: Fewnomial systems with many roots, and an adelic tau conjecture. In: Tropical and Non-Archimedean Geometry, Contemporary Mathematics, vol. 605, pp. 45\u201371. American Mathematical Society, Providence (2013)","DOI":"10.1090\/conm\/605\/12111"},{"issue":"3","key":"9897_CR14","first-page":"377","volume":"21","author":"B Sturmfels","year":"1994","unstructured":"Sturmfels, B.: Viro\u2019s theorem for complete intersections. Ann. Sc. Norm. Super. Pisa Cl. Sci. 21(3), 377\u2013386 (1994)","journal-title":"Ann. Sc. Norm. Super. Pisa Cl. Sci."},{"key":"9897_CR15","doi-asserted-by":"crossref","unstructured":"Viro, O.Y.: Gluing of plane real algebraic curves and constructions of curves of degrees $$6$$ 6 and $$7$$ 7 . In: Faddeev, L.D., Mal\u2019cev, A. (eds.) Topology. Lecture Notes in Mathematics, vol. 1060, pp. 187\u2013200. Springer, Berlin (1984)","DOI":"10.1007\/BFb0099934"}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-017-9897-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-017-9897-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-017-9897-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,24]],"date-time":"2019-09-24T21:58:27Z","timestamp":1569362307000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-017-9897-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,25]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,9]]}},"alternative-id":["9897"],"URL":"https:\/\/doi.org\/10.1007\/s00454-017-9897-4","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"type":"print","value":"0179-5376"},{"type":"electronic","value":"1432-0444"}],"subject":[],"published":{"date-parts":[[2017,5,25]]}}}