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Proceedings of the American Mathematical Society

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

 

 

Critically $ n$-connected graphs


Authors: Gary Chartrand, Agnis Kaugars and Don R. Lick
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
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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$.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0290999-1
Keywords: Graph, connectivity, critically n-connected
Article copyright: © Copyright 1972 American Mathematical Society