Document Type

Technical Report

Publication Date

Spring 4-1-1972

Abstract

In this paper, we shall present the concept of a uniquely n-colorable graph, and then introduce a class of graphs which we shall call 6-clique rings. We shall show that 6-clique rings are useful in generating some classes of uniquely 3-colorable graphs. Moreover, we shall demonstrate how the technique rings can be extended to allow the production of other classes of uniquely 3-colorable graphs, as well as the production of uniquely n-colorable graphs, where n>3.

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