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Abstract

Let G be a connected, finite graph. Let C be a circuit of G. β(C), the strong bridge graph of C in G, is defined as follows: (1) the vertices of β(C) are the bridges of C in G, and (2) there is an edge in β(C) joining a pair of vertices B 1 and B 2 if and only if B 1 and B 2 separate each other relative C.

This work was supported in part by N.S.F. grant GJ- 120. The authors would also like to thank Mr. Peng-Siu Mei for comments on the manuscript.

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References

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© 1990 Springer-Verlag New York Inc.

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Büchi, J.R., Haggard, G. (1990). Jordan Circuits of a Graph. In: Mac Lane, S., Siefkes, D. (eds) The Collected Works of J. Richard Büchi. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8928-6_10

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  • DOI: https://doi.org/10.1007/978-1-4613-8928-6_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8930-9

  • Online ISBN: 978-1-4613-8928-6

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