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Euler Lines in Infinite Directed Graphs

Published online by Cambridge University Press:  20 November 2018

C. ST. J. A. Nash-Williams
C. ST. J. A. Nash-Williams*
Affiliation:
Universities of Waterloo and A berdeen
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While the contents of the author's doctoral thesis (4) have, owing to their lengthy nature, been published only in small part (5, §2; 6; 7), the absence from the literature of graph theory of any characterization of infinite directed graphs with Euler lines seems to constitute a definite gap that prompts the publication in the present paper of some further material from (4). The main results characterizing such directed graphs will be obtained in §§2 and 3. In §4, we shall indicate an alternative (and perhaps better) formulation of one of these results, some extensions obtained in (4), and some comparisons between parallel results for undirected and directed graphs. A familiarity with the definitions and results of (7) will be assumed in §4, but not before.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 692 - 714
Copyright
Copyright © Canadian Mathematical Society 1966

References

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