Let G be a graph and f : V (G) → {2, 3, . . .}. A spanning subgraph F is called strong f-star of G if each component of F is a star whose center x satisfies degF (x) ≤ ƒ(x) and F is an induced subgraph of G. In this paper, we prove that G has a strong f-star factor if and only if oddca(G − S) ≤ ∑x∊S ƒ(x) for all S ⊂ V (G), where oddca(G) denotes the number of odd complete-cacti of G.
@article{bwmeta1.element.doi-10_7151_dmgt_1813,
author = {Zheng Yan},
title = {Strong f-Star Factors of Graphs},
journal = {Discussiones Mathematicae Graph Theory},
volume = {35},
year = {2015},
pages = {475-482},
zbl = {1317.05158},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_7151_dmgt_1813}
}
Zheng Yan. Strong ƒ-Star Factors of Graphs. Discussiones Mathematicae Graph Theory, Tome 35 (2015) pp. 475-482. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1813/
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