In the graph coloring formulation of the Erdős – Faber – Lovász conjecture, it is safe to remove vertices that belong to a single clique, as their coloring presents no difficulty ; once this is done, the hypergraph that has a vertex for each clique, and a hyperedge for each graph vertex, forms a simple hypergraph.

Thus, the Erdős – Faber – Lovász conjecture is equivalent to the statement that any simple hypergraph with vertices has chromatic index ( edge coloring number ) at most.

In the framework of edge coloring simple hypergraphs, defines a number from a simple hypergraph as the number of hypergraph vertices that belong to a hyperedge of three or more vertices.

But that is too simple, and won't hold up.

This is simple enough, but several more points of interest may be mentioned as relevant.

Thus the fictional detective is much more than a simple businessman.

Yet the attitude that the fate of the Presidency demands in such a situation is quite distinct from the simple courage that can proceed with battles to be fought, regardless of the consequences.

Its massive contours are rooted in the simple need of man, since he is always incomplete, to complete himself.

Moreover its posture of stubborn but simple resistance is doomed to failure because of the metaphysical weakness of the existent form of order, once the activation of change has reached visible proportions.

One who invites such trials of character is either foolhardy, overconfident or too simple and childlike in faith in mankind to see the danger.

Although it is constantly made to look foolish ( too simple to come in out of the rain, people say, who have found in the innocent an impediment ), it does not mind looking foolish because it is not concerned with how it looks.

Her clothes, her hair, everything about her is both graceful and simple.

In this domain the simple fact of coexistence in the same local, national, and world community is enough to guarantee that we cannot refrain from having some effect, large or small, upon Gentile-Jewish relations.

But simple involvement is not enough ; ;

Many readers of this department no doubt discount certain of my opinions for the simple reason that they can guess pretty accurately, even if they have never actually been told, what my age is.

`` Why '', he replied, `` it is perfectly simple ; ;

More important is the simple human point that all men suffer, and that it is a kind of anthropological-religious pride on the part of the Jew to believe that his suffering is more poignant than mine or anyone else's.

It is a simple task to haul a boat fifty or one hundred miles to a lake or reservoir on the new, light, strong, easy-to-operate trailers which are built to accommodate almost any kind of small boat and retail from $100 to $2,000.

This is a varmint load, pure and simple ; ;

You'll find, once your technique is perfected, that you can cook on a boat with a simple Bernz-O-Matic.

Fairing is always a tedious job but the work can be cut down considerably with a Skill planer and a simple jig.

Most of it is panelized and utilizes standard materials, and requires the use of only simple tools.

A relatively simple switching arrangement reverses the cycle so that the machine literally runs backward, and the heat is extracted from outdoor air and turned indoors.

One simple method of measuring the expansion of the heart is to tie a thin rubber tube, filled with mercury, around the heart and record the change in resistance as the tube is stretched.

On her bureau lay a small, brass ornament of simple design and faded engraving -- an object which, Pamela believed now, had been the property of her great-grandfather, Major Hiram Munroe Culver.

Faulkner's total works today, and in fact those of his works which existed in 1946 when Mr. Cowley made his comment, or in 1939, when Mr. O'Donnell wrote his essay, reveal no such simple attitude toward the South.

Thoroughly modern in treatment, they are at the same time, full of simple sincerity which invariably characterizes genuine Negro folk-music and are by no means to be confused with the average ' Broadway Spirituals ' which depend for their racial flavor upon sundry allusions to the ' Amen Corner ', ' judgement Day, ' Gabriel's Horn, and a frustrated devil -- with a few random hallelujahs thrown in for good measure.

How could the rich, for whom life was made so simple, ever understand the subterfuges, the lies, the frauds, the errors, sins and even crimes to which the poor were driven in their efforts to overcome the great advantages the rich had in the race of life??

First I make preliminary watercolor sketches in quarter scale ( approximately Af inches ) in which I pay particular attention to the design principles of three simple values -- the lightest light, the middle tone, and the darkest dark -- by reducing the forms of my subject to these large patterns.

Outputs of the two systems are measured by a pulse-timing circuit and a resistance bridge, followed by a simple analogue computer which feeds a multichannel recorder.

The elasticity is a parameter of fluids which is not subject to simple measurement at present, and it is a parameter which is probably varying in an unknown manner with many commercial materials.

Consider a simple, closed, plane curve C which is a real-analytic image of the unit circle, and which is given by Af.

These are defined by a simple involutorial transformation of the points in which a general line meets a nonsingular quadric surface bearing a curve of symbol Af.

A general line L meets Q in two points, Af and Af, through each of which passes a unique generator of the regulus, Af, whose lines are simple secants of Aj.

If **ya is the multiple secant of **zg which passes through Af and **yb is the simple secant of **zg which passes through Af, and if Af are the points in which **ya meets **zg, and if Af is the image of Af on the generator **yb, it follows that the image of the line Af is Af.

only seldom is it so simple as to be a matter of his obviously parroting some timeworn axiom, common to our culture, which he has evidently heard, over and over, from a parent until he experiences it as part of him.

Thomas also presents a simple equation for deriving an index of persistence, which weights not only the number of stems ( ' roots ' ) per meaning, but their relative frequency.

I come now to a third argument, which again is very simple.

Their world, again, was a still simple, traditional age which was only slowly beginning to appreciate the complexity of life.

If, on the other hand, they opted for representation, it had to be representation per se -- representation as image pure and simple, without connotations ( at least, without more than schematic ones ) of the three-dimensional space in which the objects represented originally existed.

The evidence in court was testimony about the interview, which for Holmes lasted an hour, although at least one white student at Georgia got through this ritual by a simple phone conversation.

It was a simple ivory crucifix which my mother had given me.

The simple mechanical strain of overweight, says New York's Dr. Norman Jolliffe, can overburden and damage the heart `` for much the same reason that a Chevrolet engine in a Cadillac body would wear out sooner than if it were in a body for which it was built ''.