Orlicz centroid bodies

E Lutwak, D Yang, G Zhang - Journal of Differential Geometry, 2010 - projecteuclid.org
The sharp affine isoperimetric inequality that bounds the volume of the centroid body of a
star body (from below) by the volume of the star body itself is the Busemann-Petty centroid …

On Erd\H {o} s-Gallai and Havel-Hakimi algorithms

A Iványi, L Lucz, TF Móri, P Sótér - arXiv preprint arXiv:1111.3282, 2011 - arxiv.org
Havel in 1955, Erd\H{o}s and Gallai in 1960, Hakimi in 1962, Ruskey, Cohen, Eades and
Scott in 1994, Barnes and Savage in 1997, Kohnert in 2004, Tripathi, Venugopalan and West …

[HTML][HTML] G-parking functions, acyclic orientations and spanning trees

B Benson, D Chakrabarty, P Tetali - Discrete Mathematics, 2010 - Elsevier
Given an undirected graph G = ( V , E ) , and a designated vertex q ∈ V , the notion of a G -parking
function (with respect to q ) was independently developed and studied by various …

The Orlicz centroid inequality for star bodies

G Zhu - Advances in Applied Mathematics, 2012 - Elsevier
Lutwak, Yang and Zhang established the Orlicz centroid inequality for convex bodies and
conjectured that their inequality can be extended to star bodies. In this paper, we confirm this …

Set-theoretic estimation of hybrid system configurations

E Benazera, L Travé-Massuyes - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
Hybrid systems serve as a powerful modeling paradigm for representing complex continuous
controlled systems that exhibit discrete switches in their dynamics. The system and the …

Свойства граней параллелоэдров

НП Долбилин - Труды Математического института имени ВА …, 2009 - mathnet.ru
Рассматривается важный класс многогранников, разбивающих евклидово
пространство,–параллелоэдры. Вводятся понятие стандартной грани параллелоэдра и …

Polytope und Polyeder

M Joswig, T Theobald - Algorithmische Geometrie: Polyedrische und …, 2008 - Springer
Polytope können als konvexe Hülle endlich vieler Punkte im n-dimensionalen Raum ℝ n
definiert werden und bilden ein Grundmodell der algorithmischen Geometrie. Beim Studium …