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Uniquely Line Colorable Graphs

Published online by Cambridge University Press:  20 November 2018

D. L. Greenwell
Affiliation:
Emory University, Atlanta, Georgia
H. V. Kronk
Affiliation:
Emory University, Atlanta, Georgia
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A line-coloring of a graph G is an assignment of colors to the lines of G so that adjacent lines are colored differently; an n-line coloring uses n colors. The line-chromatic number χ'(G) is the smallest n for which G admits an n-line coloring.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1973