距离无符号拉普拉斯整谱的完全r-部图（英文）

赵爽; 李丹; 孟吉翔

doi:10.13568/j.cnki.651094.2016.02.005

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距离无符号拉普拉斯整谱的完全r-部图（英文）

更新时间：2026-01-21

- 距离无符号拉普拉斯整谱的完全r-部图（英文）
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 33, Issue 2, Pages: 153-160(2016)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.2016.02.005
  CLC： O157.5
- Published：2016
- 稿件说明：
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[1]赵爽,李丹,孟吉翔.距离无符号拉普拉斯整谱的完全r-部图（英文）[J].新疆大学学报(自然科学版),2016,33(02):153-160.
[1]赵爽,李丹,孟吉翔.距离无符号拉普拉斯整谱的完全r-部图（英文）[J].新疆大学学报(自然科学版),2016,33(02):153-160. DOI： 10.13568/j.cnki.651094.2016.02.005.

DOI：10.13568/j.cnki.651094.2016.02.005.

摘要

对一个n个顶点的图G

G的距离无符号拉普拉斯矩阵记为DQ(G)=Tr(G)+D(G)

其中Tr(G)

D(G)分别表示G的顶点传输矩阵及其距离矩阵.G的距离无符号拉普拉斯特征多项式(或简称DQ-多项式)是DQ/G(λ)=|λIn-DQ(G)|

其中In是n×n阶单位矩阵.如果G的所有DQ-特征值都是整数

称图G是距离无符号拉普拉斯整谱图.本文将给出完全r-部图是距离无符号拉普拉斯整谱图的一个必要充分条件

从而构造出无穷多类新的距离无符号拉普拉斯整谱图.

Abstract

For a graph G of order n

the distance signless Laplacian matrix of G is defined as DQ(G)=Tr(G)+D(G)

where Tr(G) is the diagonal matrix of vertex transmission of G and D(G) is its distance matrix.The distance signless Laplacian characteristic polynomial(or DQ-polynomial) of G is DGQ(λ)=|λIn-DQ(G)|

where In is the n×n identity matrix.A graph G is said to be distance signless Laplacian integral if all its DQ-eigenvalues of G are integers.Throughout this paper

we give a necessary and sufficient condition for complete r-partite graphs to be distance signless Laplacian integral

from which we construct infinitely many new classes of distance signless Laplacian integral graphs.

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references

Wang L G,Li X L,Hoede C.Integral complete r-partite graphs[J].Discrete Math,2004,283:231-241.

Wang L G,Liu X D.Integral complete multiparite graphs[J].Discrete Math,2008,308:3860-3870.

Hic P,Pokorny M,Cernek P.New sufficient condition for integral complent 3-partite graphs[J].Appl Anal Discrete Math,2008,2:276-284.

Hic P,Pokorny M.Integral complete 4-partite graphs[J].Discrete Math,2008,308:3704-3705.

Wang L G,Wang Q.Integral complete multiparite graphs K_(a_1·p_1,a_2·p_2……,a_s·p_s)with s=5,6[J].Discrete Math,2010,310:812-818.

Zhao G P,Wang L G,Li K.Q-integral complete r-partite graphs[J].Linear Algebra Appl,2013,438:1067-1077.

Yang R S,Wang L G.Distance integral complete r-partite graphs[J].Filomat,2015,29(4):739-749.

Pokorny M,Hic P,Stevanovic D.Remarks on Q-integral complete multipartitie graphs[J].Linear Algebra Appl,2013,439:2029-2037.

Borwein P,Erdelyi T.Polynominals and Polynominal Inequalities[M].New York,Berlin,Heidelberg:Speringer,1995,106-107.

Hic P,Pokorny M.New classes of integral complete n-partite graphs[J].Advances and Applications in Discrete Mathematics,2011,7(2):83-94.

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