Using the well-known Theorem of Turan, we present in this paper degree sequence conditions for the equality of edge-connectivity and minimum degree, depending on the clique number of a graph. Different examples will show that these conditions are best possible and independent of all the known results in this area. (C) 2003 Wiley Periodicals, Inc.
机构:
Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
Yan, Guiying
Liu, Xiaoping
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Xinjiang Polytech Coll, Urumqi 830000, Xinjiang, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
Tian, Yingzhi
Guo, Litao
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Henan Univ Technol, Coll Sci, Zhengzhou 450052, Henan, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
Guo, Litao
Meng, Jixiang
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Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
Meng, Jixiang
Qin, Chengfu
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Guangxi Teachers Educ Univ, Sch Math Sci, Nanning 530001, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
机构:
Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Du, Junfeng
Huang, Ziwen
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Yichun Univ, Ctr Appl Math, Sch Math & Comp Sci, Yichun 336000, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Huang, Ziwen
Xiong, Liming
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Beijing Inst Technol, Sch Math & Stat, Beijing Key Lab MCAACI, Beijing 100081, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China