A class of posets with integral Laplacian spectrum

Sheng Chen; Chao Xia

doi:10.1016/j.laa.2017.04.027

A class of posets with integral Laplacian spectrum

Sheng Chen^*
, Chao Xia

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

For any positive integers k,r and s, we present a class of posets denoted by P(r,s,k). We constructively prove that the Laplacian matrices for them have integral spectrum.

Original language	English
Pages (from-to)	258-270
Number of pages	13
Journal	Linear Algebra and Its Applications
Volume	529
DOIs	https://doi.org/10.1016/j.laa.2017.04.027
State	Published - 15 Sep 2017

Keywords

Hasse diagram
Integral spectrum
Laplacian matrix
Poset

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10.1016/j.laa.2017.04.027

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title = "A class of posets with integral Laplacian spectrum",

abstract = "For any positive integers k,r and s, we present a class of posets denoted by P(r,s,k). We constructively prove that the Laplacian matrices for them have integral spectrum.",

keywords = "Hasse diagram, Integral spectrum, Laplacian matrix, Poset",

author = "Sheng Chen and Chao Xia",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

month = sep,

day = "15",

doi = "10.1016/j.laa.2017.04.027",

language = "英语",

volume = "529",

pages = "258--270",

journal = "Linear Algebra and Its Applications",

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T1 - A class of posets with integral Laplacian spectrum

AU - Chen, Sheng

AU - Xia, Chao

PY - 2017/9/15

Y1 - 2017/9/15

N2 - For any positive integers k,r and s, we present a class of posets denoted by P(r,s,k). We constructively prove that the Laplacian matrices for them have integral spectrum.

AB - For any positive integers k,r and s, we present a class of posets denoted by P(r,s,k). We constructively prove that the Laplacian matrices for them have integral spectrum.

KW - Hasse diagram

KW - Integral spectrum

KW - Laplacian matrix

KW - Poset

UR - https://www.scopus.com/pages/publications/85018729226

U2 - 10.1016/j.laa.2017.04.027

DO - 10.1016/j.laa.2017.04.027

M3 - 文章

AN - SCOPUS:85018729226

SN - 0024-3795

VL - 529

SP - 258

EP - 270

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

A class of posets with integral Laplacian spectrum

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Keywords

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