Let G be a graph, and let a, b, k be integers with 0 <= a <= b, k >= 0. Then graph G is called an (a, b, k)-critical graph if after deleting any k vertices of G the remaining graph of G has an [a, b]-factor. In this paper, the relationship between binding number bind(G) and (a, b, k)critical graph is discussed, and a binding number condition for a graph to be (a, b, k)-critical is given.
机构:
Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Jiangsu, Peoples R ChinaJiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Jiangsu, Peoples R China
Zhou, Sizhong
Xu, Zurun
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Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Jiangsu, Peoples R ChinaJiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Jiangsu, Peoples R China
Xu, Zurun
Duan, Ziming
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China Univ Min & Technol, Sch Sci, Xuzhou 221008, Jiangsu, Peoples R ChinaJiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Jiangsu, Peoples R China
机构:
School of Mathematics and Physics,Jiangsu University of Science and TechnologySchool of Mathematics and Physics,Jiangsu University of Science and Technology
Si Zhong ZHOU
Zhi Ren SUN
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机构:
School of Mathematical Sciences,Nanjing Normal UniversitySchool of Mathematics and Physics,Jiangsu University of Science and Technology
机构:
Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Peoples R ChinaJiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Peoples R China
Zhou, Si Zhong
Sun, Zhi Ren
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机构:
Nanjing Normal Univ, Sch Math Sci, Nanjing 210046, Jiangsu, Peoples R ChinaJiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Peoples R China
机构:
Wuhan Text Univ, Res Ctr Nonlinear Sci, Sch Math & Phys Sci, Wuhan, Hubei, Peoples R ChinaWuhan Text Univ, Res Ctr Nonlinear Sci, Sch Math & Phys Sci, Wuhan, Hubei, Peoples R China
Chen, Yuan
Dai, Guowei
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Nanjing Forestry Univ, Coll Sci, Nanjing 210037, Jiangsu, Peoples R ChinaWuhan Text Univ, Res Ctr Nonlinear Sci, Sch Math & Phys Sci, Wuhan, Hubei, Peoples R China