Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Critically $n$-connected graphs
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by Gary Chartrand, Agnis Kaugars and Don R. Lick
Proc. Amer. Math. Soc. 32 (1972), 63-68
DOI: https://doi.org/10.1090/S0002-9939-1972-0290999-1

Abstract:

The following result is proved. Every n-connected graph contains either a vertex whose removal results in a graph which is also n-connected or a vertex of degree less than $(3n - 1)/2$.
References
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 32 (1972), 63-68
  • MSC: Primary 05C99
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0290999-1
  • MathSciNet review: 0290999