DSpace DSpace UPC
 Català   Castellano   English  

E-prints UPC >
Altres >
Enviament des de DRAC >

Empreu aquest identificador per citar o enllaçar aquest ítem: http://hdl.handle.net/2117/17085

Arxiu Descripció MidaFormat
miranda_hirsch.pdf3,28 MBAdobe PDFThumbnail
Veure/Obrir

Citació: Miranda, E. The Hirsch conjecture has been disproved : an interview with Francisco Santos. "Newsletter of the European Mathematical Society", 01 Desembre 2012, vol. 86, p. 31-37.
Títol: The Hirsch conjecture has been disproved : an interview with Francisco Santos
Autor: Miranda Galcerán, Eva Veure Producció científica UPC
Data: 1-des-2012
Tipus de document: Article
Resum: The famous Hirsch conjecture was formulated in 1957 in a conversation of Warren Hirsch with George Dantzig, the father of the simplex method. It asserts that given a polytope of dimension d and n facets, its combinatorial diameter is smaller than or equal to n–d, i.e. any two vertices of the polytope can be connected to each other by a path of at most n–d edges. The conjecture is related to the problem of complexity of the simplex method (it gives a lower bound). The conjecture has been open for 53 years and has attracted the interest of many mathematicians in discrete, combinatorial and computational geometry. The simplicity of its statement has also attracted mathematicians in other areas. On 10 May 2010, the entry about the Hirsch Conjecture in Wikipedia was updated, announcing that Francisco Santos had found a counterexample to the Hirsch conjecture. Later, on 14 June, Francisco Santos posted a preprint where the first counterexample was given. It was a polytope in dimension 43 and with 86 facets. The paper is now published in Annals of Mathematics [Sa4]. The HirschConjecture has been disproved.
ISSN: 1027-488X
URI: http://hdl.handle.net/2117/17085
DOI: DOI: 10.4171/NEWS
Versió de l'editor: www.ems-ph.org/journals/newsletter/pdf/2012-12-86.pdf
Apareix a les col·leccions:Altres. Enviament des de DRAC
EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions. Articles de revista
Departaments de Matemàtica Aplicada. Articles de revista
Comparteix:


Stats Mostra les estadístiques d'aquest ítem

SFX Query

Aquest ítem (excepte textos i imatges no creats per l'autor) està subjecte a una llicència de Creative Commons Llicència Creative Commons
Creative Commons

 

Valid XHTML 1.0! Programari DSpace Copyright © 2002-2004 MIT and Hewlett-Packard Comentaris
Universitat Politècnica de Catalunya. Servei de Biblioteques, Publicacions i Arxius