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Independent Number and Degree Condition for Fractional ID-[a,b]-Factor-Critical Graphs(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2013年03期
Page:
9-12
Research Field:
数学
Publishing date:

Info

Title:
Independent Number and Degree Condition for Fractional ID-[a,b]-Factor-Critical Graphs
Author(s):
Yuan YuanSun Zhiren
School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China
Keywords:
independent numberminimum degreefractional [ab]-factorfractional ID-[ab]-factor-critical
PACS:
O157.5
DOI:
-
Abstract:
A graph G is fractional independent-set-deletable [a,b]-factor-critical if G-I has a fractional [a,b]-factor for every independent set I of G.In this paper,we prove that if α(G)≤(4b(δ(G)-b+1))/((a+1)2+24b),then G is fractional ID-[a,b]-factor-critical.

References:

[1] Bondy J A,Murty U S R.Graph Theory With Applications[M].New York:Macmillan Ltd Press,1976.
[2]Kano M.A sufficient conditions for a graph to have[a,b]-factors[J].Graphs and Combin,1990,6:245-251.
[3]Li Yanjun,Cai Maocheng.A degree condition for a graph to have[a,b]-factors[J].J Graph Theory,1998,27:1-6.
[4]Liu Guizhen,Yu Qinglin.Graph Factors and Matching Extensions[M].Beijing:Higher Education Press,2009.
[5]Mastsuda H.A neighbourhood condition for graphs to have[a,b]-factors[J].Discrete Math,2000,224:289-292.
[6]Zhou Sizhong.Independence number,connectivity and(a,b,k)-critical graphs[J].Discrete Math,2009,309:4 144-4 148.
[7]Cai Jiansheng,Liu Guizhen.Stability number and fractional f-factors in graphs[J].Ars Combin,2006,80:141-146.
[8]Liu Guizhen,Zhang Lanju.Properties of fractional k-factors of graphs[J].Acta Math Sci Ser B,2005,25:301-304.
[9]Scheinerman E R,Ullman D H.Fractional Graph Theory[M].New York:Wiley,1997.
[10]Zhou Sizhong.Some new sufficient conditions for graphs to have fractional k-factors[J].Int J Comp Math,2011,88:484-490.
[11]Zhou Sizhong,Xu Lan,Sun Zhiren.Independent number and minimum degree for fractional ID-k-factor-critical graphs[J].Aequat Math,2012,84:71-76.
[12]Chang Renying,Liu Guizhen,Zhu Yan.Degree conditions of fractional ID-k-factor-critical graphs[J].Bull Malays Math Sci Soc,2010,33:355-360.
[13]Zhou Sizhong,Sun Zhiren,Liu Hongxia.A minimum degree for fractional ID-[a,b]-factor-critical graphs[J].Bull Aust Math Soc,2012,86:177-183.
[14]Liu Guizhen,Zhang Lanju.Fractional(g,f)-factors of graphs[J].Acta Math Sci Ser B,2001,21:541-545.

Memo

Memo:
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Last Update: 2013-09-30