Pregled bibliografske jedinice broj: 393745
Adjacency method for extreme Delaunay polytopes
Adjacency method for extreme Delaunay polytopes // Proceedings of the Third Voronoï Conference on Analytic Number Theory and Spatial Tessellations / Syta, H. ; Yurachivsky, A. ; Engel, P. (ur.).
Kijev: The National Academy of Sciences of Ukraine, 2005. str. 94-101 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
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Naslov
Adjacency method for extreme Delaunay polytopes
Autori
Dutour, Mathieu
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Proceedings of the Third Voronoï Conference on Analytic Number Theory and Spatial Tessellations
/ Syta, H. ; Yurachivsky, A. ; Engel, P. - Kijev : The National Academy of Sciences of Ukraine, 2005, 94-101
ISBN
966-02-2571-7
Skup
Third Voronoï Conference on Analytic Number Theory and Spatial Tessellations
Mjesto i datum
Kijev, Ukrajina, 22.09.2003. - 28.09.2003
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
hypermetric cone, polyhedral method, enumeration
Sažetak
The hypermetric cone is defined as the cone of semimetrics satisfying the hypermetric inequalities. Every Delaunay polytope corresponds to a ray of this polyhedral cone. The Delaunay polytopes, which corresponds to extreme rays are called extreme. We use this polyhedral cone and closest vector problem to present a new technique that allow us to find from a given extreme Delaunay polytopes some new ones. Then, we show some examples of applications of this technique in low dimensions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine ; Mathematics and its applications ; Voronoï's impact on modern science, 3 ; Praci Instytutu Matematyky Nacionalʹnoï Akademiï Nauk Ukraïny, Instytut Matematyky, 55
