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A note on circular dimension

✍ Scribed by J.B. Shearer


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
92 KB
Volume
29
Category
Article
ISSN
0012-365X

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✦ Synopsis


In [l] Feinberg conjectures that the maximum circular dimension of all graphs having n vertices is attained by a complete partite graph. In this note we show that this is not so.

In [l], Feinberg defined the circular dimension of a graph as follows: Given a graph G = (V, E), a collection of functions {fi}; 1, each fi mapping each vertex of G into an arc on a fixed circle, defines an m-arc intersection model for G if for X, YE v:


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