Results 41 to 50 of about 81,686,599 (65)

Isoperimetric Functions of Finitely Generated Nilpotent Groups

open access: yes, 1998
We show that the isoperimetric function of a finitely generated nilpotent group of class c is bounded above by a polynomial of degree ...
Isoperimetric Functions   +1 more
core  

Fibre tilings [PDF]

open access: yes, 2003
Generalizing an earlier notion of secondary polytopes, Billera and Sturmfels introduced the important concept of fibre polytopes, and showed how they were related to certain kinds of subdivision induced by the projection of one polytope onto another ...
McMullen, P
core  

Valuations and tensor weight on polytopes [PDF]

open access: yes, 2006
Let V be a finite-dimensional vector space over a square-root closed ordered field F (this restriction permits an inner product with corresponding norm to be imposed on V)
McMullen, P
core  

An existence theorem for isoperimetric problems

open access: yes, 1983
In this paper a very general class of isoperimetric problems subject to a general integral condition. The existence of an absolute minimum is established for various types of functions and under weak conditions. Our result generalizes that of L. Torrelli
L. CESARI, PUCCI, Patrizia
core   +1 more source

Stability and minimality for a nonlocal variational problem

open access: yes, 2014
We discuss the local minimality of certain configurations for a nonlocal isoperimetric problem used to model microphase separation in diblock copolymer melts.
FUSCO, NICOLA
core  

Edge Isoperimetric Problems on Graphs

open access: yes, 1998
We survey results on edge isoperimetric problems on graphs, present some new results and show some applications of such problems in combinatorics and computer ...
Sergei L. Bezrukov
core  

Edge Isoperimetric Problems on Graphs

open access: yes
We survey results on edge isoperimetric problems on graphs, present some new results and show some applications of such problems in combinatorics and computer science. 1 Introduction Let G = (V G ; EG ) be a simple connected graph.
Sergei Bezrukov
core   +1 more source

Phase transitions in isoperimetric problems [PDF]

open access: yes
Among all bodies of a fixed volume, the ball has the smallest surface area. Among all ideals in R[x1,..., xn] generated by a fixed number of monomials of degree d, the one with the fewest monomials of degree d + 1 is the lex-ideal.
Wells, Chris
core  

Isoperimetric problems for a nonlocal perimeter of Minkowski type

open access: yesGeometric Flows, 2017
We show a quantitative version of the isoperimetric inequality for a non local perimeter of Minkowski type. We also apply this result to study isoperimetric problems with repulsive interaction terms, under volume and convexity constraints.
Annalisa Cesaroni, Matteo Novaga
exaly   +2 more sources
Some of the next articles are maybe not open access.

Pull-push method: A new approach to edge-isoperimetric problems

Discrete Mathematics, 2023
Nikola Kuzmanovski, Sergei L Bezrukov
exaly  

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