Results 1 to 10 of about 12,972,182 (333)

On the Existence of an Extremal Function in the Delsarte Extremal Problem [PDF]

Mediterranean Journal of Mathematics, 2019
This paper is concerned with a Delsarte-type extremal problem. Denote by P(G)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}
Marcell Ga'al, Zsuzsanna Nagy-Csiha
semanticscholar   +6 more sources

On the extremal function for graph minors [PDF]

Journal of Graph Theory, 2019
For a graph H $H$ , let c(H)=inf{c:e(G)≥c|G|impliesG≻H} $c(H)=\text{inf}\{c:e(G)\ge c|G|\,\,\text{implies}\,\,G\succ H\}$ , where G≻H $G\succ H$ means that H $H$ is a minor of G $G$ .
A. Thomason, Matthew Wales
semanticscholar   +5 more sources

Extremal function for Moser–Trudinger type inequality with logarithmic weight [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2016
On the space of weighted radial Sobolev space, the following generalization of Moser–Trudinger type inequality was established by Calanchi and Ruf in dimension 2 : If β ∈ [ 0 , 1 ) and w 0 ( x ) = | log | x | | β then sup ∫ B ∣ ∇ u ∣ 2 w 0 ≤ 1 , u ∈ H 0 ,
Prosenjit Roy
exaly   +2 more sources

The Extremal Function for Complete Minors

Journal of Combinatorial Theory, Series B, 2001
Let c(t) be the minimum number c such that every graph G with e(G)?c|G| contracts to a complete graph Kt. We show thatc(t)=(?+o(1))tlogtwhere ?=0.319... is an explicit constant. Random graphs are extremal graphs.
A. Thomason
semanticscholar   +3 more sources

The statistical mechanics of near-extremal black holes [PDF]

Journal of High Energy Physics, 2021
An important open question in black hole thermodynamics is about the existence of a “mass gap” between an extremal black hole and the lightest near-extremal state within a sector of fixed charge.
Luca V. Iliesiu, Gustavo J. Turiaci
doaj   +2 more sources

The extremal function for Petersen minors [PDF]

Journal of Combinatorial Theory, Series B, 2015
We prove that every graph with $n$ vertices and at least $5n-8$ edges contains the Petersen graph as a minor, and this bound is best possible. Moreover we characterise all Petersen-minor-free graphs with at least $5n-11$ edges.
Kevin Hendrey, D. Wood
semanticscholar   +4 more sources

On the extremal function of the modulus of a foliation

Archiv Der Mathematik, 2016
We investigate the properties of the modulus of a foliation on a Riemannian manifold. We give necessary and sufficient conditions for the existence of the extremal function and state some of its properties. We obtain an integral formula which, in a sense,
Małgorzata Ciska-Niedziałomska
exaly   +2 more sources

Thermodynamics of the near-extremal Kerr spacetime [PDF]

Journal of High Energy Physics, 2023
We examine the thermodynamics of a near-extremal Kerr black hole, and demonstrate that the geometry behaves as an ordinary quantum system with a vanishingly small degeneracy at low temperatures.
Ilija Rakic, Mukund Rangamani, Gustavo J. Turiaci   +2 more
doaj   +2 more sources

The Extremal Function For Noncomplete Minors [PDF]

Combinatorica, 2005
We investigate the maximum number of edges that a graph G can have if it does not contain a given graph H as a minor (subcontraction). Let $$c{\left( H \right)} = \inf {\left\{ {c:e{\left( G \right)} \geqslant c{\left| G \right|}{\text{implies}}{\kern 1pt} {\kern 1pt} G \succ H} \right\}}.$$We define a parameter γ(H) of the graph H and show that, if H ...
J. Myers, A. Thomason
semanticscholar   +2 more sources

Extremality of Koebe’s Function

Axioms
The remarkable Koebe function is the (unique) extremal of many important distortion functionals in geometric function theory. This paper provides a complete characterization of such functionals.
Samuel L. Krushkal
doaj   +2 more sources