He is best known for his work in extremal graph theory.

The field is known more briefly today as extremal graph theory.

We now discuss an example where an extremal metric is not flat.

Hence in both these extremal cases we also have .

Thus the behaviour of coupled extremal paths must be investigated.

They are also the extremal polynomials for many other properties.

In particular cases, they can have interesting extremal properties.

There are two variants of extremal length in this setting.

The extremal length of is then defined as before.

The concept of an extremal black hole is theoretical and none have thus far been observed in nature.

Make an initial guess of the L+2 extremal frequencies.

The picture above on the right displays the various extremal frequencies for the plot shown.

To define extremal length, we need to first introduce several related quantities.

Perfect splines often give solutions to various extremal problems in mathematics.

That is to re-iterate the concern about extremal cases not being equivalent in the list immediately above.

Then the spherical metric is extremal for this curve family.

Until recently, prospects for useful extremal principles in this area have seemed clouded.

Copulas and extremal dependence with applications to credit risk models.

In this section the extremal length is calculated in several examples.

Other writers have also felt that prospects for general global extremal principles are clouded.

Let be an extremal face of the cone of curves on which is negative.

A note concerning extremal points of a convex set.

Several foundational results in extremal graph theory are questions of the above-mentioned form.

The first three of these examples are actually useful in applications of extremal length.

Extremal regions in this context have two important properties, that the set is closed under...