Strong Tutte Type Conditions and Factors of Graphs

Let odd(G) denote the number of odd components of a graph G and k ≥ 2 be an integer. We give sufficient conditions using odd(G − S) for a graph G to have an even factor. Moreover, we show that if a graph G satisfies odd(G − S) ≤ max{1, (1/k)|S|} for all S ⊂ V (G), then G has a (k − 1)-regular factor...

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Bibliographic Details
Main Authors: Yan Zheng, Kano Mikio
Format: Article
Language:English
Published: University of Zielona Góra 2020-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2158