Geometric convexity. III. Embedding

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Testing Geometric Convexity

We consider the problem of determining whether a given set S in R is approximately convex, i.e., if there is a convex set K ∈ R such that the volume of their symmetric difference is at most vol(S) for some given . When the set is presented only by a membership oracle and a random oracle, we show that the problem can be solved with high probability using poly(n)(c/ ) oracle calls and computation...

متن کامل

Convexity and geometric probabilities

In the development of the subject of Geometric Probabilities, there was always a close relationship to Convex Geometry. In these lectures, I want to demonstrate this relationship with a number of examples. These examples are of different types, since I want to cover various aspects. I start with hitting probabilities for convex bodies, which can be treated by means of integral geometry. Then I ...

متن کامل

Geometric Plurisubharmonicity and Convexity - an Introduction

This is an essay on potential theory for geometric plurisubharmonic functions. It begins with a given closed subset Gl of the Grassmann bundle G(p, TX) of tangent p-planes to a riemannian manifold X . This determines a nonlinear partial differential equation which is convex but never uniformly elliptic (p < dimX). A surprising number of results in complex analysis carry over to this more genera...

متن کامل

Geometric Embedding Properties of Bestvina-brady Subgroups

We compute the relative divergence and the subgroup distortion of Bestvina-Brady subgroups. We also show that for each integer n ≥ 3, there is a free subgroup of rank n of some right-angled Artin group whose inclusion is not a quasi-isometric embedding. This result answers the question of Carr about the minimum rank n such that some rightangled Artin group has a free subgroup of rank n whose in...

متن کامل

The Complexity of Simultaneous Geometric Graph Embedding

Given a collection of planar graphs G1, . . . , Gk on the same set V of n vertices, the simultaneous geometric embedding (with mapping) problem, or simply k-SGE, is to find a set P of n points in the plane and a bijection φ : V → P such that the induced straight-line drawings of G1, . . . , Gk under φ are all plane. This problem is polynomial-time equivalent to weak rectilinear realizability of...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1978

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1978-0515537-7