Uniformly connected graphs

نویسندگان

چکیده

In this article, we investigate the structure of uniformly k $k$ -connected and -edge-connected graphs. Whereas both types have previously been studied independent each other, analyze relations between these two classes. We prove that any graph is also for ≤ 3 $k\le 3$ demonstrate not case > $k\gt . Furthermore, graphs are well understood 2 2$ it known how to construct 3-edge-connected contribute here a constructive characterization 3-connected inspired by Tutte's Wheel Theorem. Eventually, results help us tight bound on number vertices minimum degree in

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ژورنال

عنوان ژورنال: Journal of Graph Theory

سال: 2022

ISSN: ['0364-9024', '1097-0118']

DOI: https://doi.org/10.1002/jgt.22820