一类特殊图序列的判断条件  

The Criteria for a Special Kind of Integer Sequences Being Graphic

作　　者：吴丹[1] 赵熙强[1] 

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2013年第6期115-120,共6页Periodical of Ocean University of China

摘　　要：研究G(2,k)图序列的判断条件。利用已有图序列的判定定理,采用不等式验证法和反证法,给出并证明了判断G(2,k)序列是否为图序列的充要条件。该判定条件是对G(l,k)图序列中l=2的普遍情况的讨论,是对已有的l=1情况的扩展和深化。The criteria for G（2,k） sequences being graphic were studied in this paper.Using an existing conclusion of graphic sequences and adopting the method of inequality verification and reduction to absurdity,two criteria for a special kind of integer sequences ＂G（2,k） sequences＂ being graphic were obtained.The criterias which were the case of l=2 of G（l,k） sequences expanded and deepened the case l=1.

关 键 词：图 度序列 图序列 

分 类 号：O157.6[理学—数学]