The k-subconnectedness of planar graphs

A graph G with at least 2k vertices is called k-subconnected if, for any 2k vertices x1,x2,⋯,x2k in G, there are k independent paths joining the 2k vertices in pairs in G. In this paper, we prove that a k-connected planar graph with at least 2k vertices is k-subconnected for k=1,2; a 4-connected pla...

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Bibliographic Details
Main Authors: Zongrong Qin, Dingjun Lou
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021340?viewType=HTML