Strong ƒ-Star Factors of Graphs

• Autorzy: Zheng Yan
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

ƒ-star factor; strong ƒ-star factor; complete-cactus; factor of graph.

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2015
• Tom: 35
• Numer: 3
• Strony: 475-482

Daty

wydano

2015-08-01

otrzymano

2013-12-27

poprawiono

2014-09-29

zaakceptowano

2014-09-29

online

2015-07-29

Twórcy

autor

Zheng Yan

• Yangtze University, Jingzhou Hubei, China

Bibliografia

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• [4] Y. Egawa, M. Kano and A.K. Kelmans, Star partitions of graphs, J. Graph Theory 25 (1997) 185-190. doi:10.1002/(SICI)1097-0118(199707)25:3h185::AID-JGT2i3.0.CO;2-H[Crossref]
• [5] J. Folkman and D.R. Fulkerson, Flows in infinite graphs, J. Combin. Theory 8 (1970) 30-44. doi:10.1016/S0021-9800(70)80006-0[Crossref]
• [6] M. Las Vergnas, An extension of Tutte’s 1-factor theorem, Discrete Math. 23 (1978) 241-255. doi:10.1016/0012-365X(78)90006-7[Crossref]
• [7] A.K. Kelmans, Optimal packing of induced stars in a graph, RUTCOR Research Report 26-94, Rutgers University (1994) 1-25.
• [8] A. Saito and M. Watanabe, Partitioning graphs into induced stars, Ars Combin. 36 (1993) 3-6.

Identyfikatory

DOI

10.7151/dmgt.1813