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Mar 29, 1986, 1:23:49 PM3/29/86

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I don't remember the reference for this paper by F Harary and

R C Read except that it was in a Springer Lecture Notes. The

paper, while humorous, is serious.

R C Read except that it was in a Springer Lecture Notes. The

paper, while humorous, is serious.

I excerpt here from the beginning of their paper.

IS THE NULL-GRAPH A POINTLESS CONCEPT?

ABSTRACT

The graph with no points and no lines is discussed critically.

Arguments for and against its official admittance as a graph

are presented. This is accompanied by an extensive survey of

the literature. Paradoxical properties of the null-graph are

noted. No conclusion is reached.

1. INTRODUCTION

...

Some writers in graph theory ... have introduced to concept of a (or the)

"null-graph"--having no points and no lines; see Figure 1.

...

Note that it is not a question of whether the null-graph "really exists";

it is simply a question of whether there is any point in it.

Figure 1.

ucbvax!brahms!weemba Matthew P Wiener/UCB Math Dept/Berkeley CA 94720

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