完全3-部图的无符号Laplace谱

J4 ›› 2012, Vol. 47 ›› Issue (12): 41-46.

完全3-部图的无符号Laplace谱

卢世芳^1,卫良²,赵海兴²

1.青海大学基础部, 青海西宁 810016; 2.青海师范大学数学与信息科学系, 青海西宁 810008

收稿日期:2011-10-14 出版日期:2012-12-20 发布日期:2012-12-14
作者简介:卢世芳(1970- )，女，副教授,硕士,从事图论及教学研究. Email:lsf0522@yahoo.com.cn
基金资助:
科技部973前期研究专项(2010CB334708);国家自然科学基金资助项目(60863006);青海大学自然科学基金资助项目(2011-QGY-8)

On signless Laplace integral graphs of complete tripartite graphs

LU Shi-fang¹, WEI Liang², ZHAO Hai-xing²

1. Department of Basic Research, Qinghai University, Xining 810016, Qinghai, China;
2. Department of Mathematics and Information Science, Qinghai Normal University, Xining 810008, Qinghai, China

Received:2011-10-14 Online:2012-12-20 Published:2012-12-14

摘要/Abstract

摘要：

给出了完全3-部图Km,n,l是Q-整图的充分必要条件,同时,通过计算构造了无穷多个Q-整的完全3-部图。

关键词: 无符号Laplace谱； Q-整图；完全3-部图

Abstract:

Necessary and sufficient conditions are obtained for complete tripartite graphs Km,n,l being Q-integral, and infinitely many new classes of such Q-integral graphs constructed.

Key words: signless Laplace spectrum; Q-integral graphs; the complete tripartite graphs

卢世芳1,卫良2,赵海兴2. 完全3-部图的无符号Laplace谱[J]. J4, 2012, 47(12): 41-46.

LU Shi-fang1, WEI Liang2, ZHAO Hai-xing2. On signless Laplace integral graphs of complete tripartite graphs[J]. J4, 2012, 47(12): 41-46.

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