1 1 Ju n 20 13 SINGULARITIES IN THE ENTROPY OF ASYMPTOTICALLY LARGE SIMPLE GRAPHS

نویسنده

  • LORENZO SADUN
چکیده

We prove that the asymptotic entropy of large simple graphs, as a function of fixed edge and triangle densities, is nondifferentiable along a certain curve.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Singularities in the Entropy of Asymptotically Large Simple Graphs

We prove that the asymptotic entropy of large simple graphs, as a function of fixed edge and triangle densities, is nondifferentiable along a certain curve.

متن کامل

60 v 1 1 6 Ju n 20 00 Blow - up for solutions of hyperbolic PDE and spacetime singularities

An important question in mathematical relativity theory is that of the nature of spacetime singularities. The equations of general relativity, the Einstein equations, are essentially hyperbolic in nature and the study of spacetime singularities is naturally related to blow-up phenomena for nonlinear hyperbolic systems. These connections are explained and recent progress in applying the theory o...

متن کامل

06 13 1 v 1 1 6 Ju n 20 00 Black Hole Entropy in 1 + 1 Dimensions from a Quasi - Chern Simons term

We introduce a ’quasi-topological‘ term [1] in D = 1 + 1 dimensions and the entropy for black holes is calculated [2]. The source of entropy in this case is justified by a non-null stress-energy tensor.

متن کامل

سیاه‌چاله‌های نظریه گوس- بونه در حضور شاره کامل

In this paper, the solutions of the Gauss-Bonnet theory of gravity was proposed in the presence of a perfect fluid with thermodynamic pressure P and energy gravity ρ in n-dimension. Accordingly, perfect fluid tensor was regarded as energy-momentum tensor and the static and radiating solutions for the linear equation of state p = wρ was calculated. This solution contains all the solutions alread...

متن کامل

Fast Algorithm for Optimal Compression of Graphs

We consider the problem of finding optimal description for general unlabeled graphs. Given a probability distribution on labeled graphs, we introduced in [4] a structural entropy as a lower bound for the lossless compression of such graphs. Specifically, we proved that the structural entropy for the Erdős–Rényi random graph, in which edges are added with probability p, is ` n 2 ́ h(p)−n log n+O(...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013