Spectral properties of Pascal graphs

Gi Sang Cheon; Jang Soo Kim; Seyed Ahmad Mojallal

doi:10.1080/03081087.2017.1356261

Spectral properties of Pascal graphs

Gi Sang Cheon, Jang Soo Kim, Seyed Ahmad Mojallal

Department of Mathematics

Sungkyunkwan University

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

5 Scopus citations

Abstract

We obtain spectral properties of the Pascal graphs by exploring its spectral graph invariants such as the algebraic connectivity, the first three largest Laplacian eigenvalues and the nullity. Some open problems pertaining to the Pascal graphs are given.

Original language	English
Pages (from-to)	1403-1417
Number of pages	15
Journal	Linear and Multilinear Algebra
Volume	66
Issue number	7
DOIs	https://doi.org/10.1080/03081087.2017.1356261
State	Published - 3 Jul 2018

Keywords

algebraic connectivity
Laplacian eigenvalue
nullity
Pascal graph

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10.1080/03081087.2017.1356261

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title = "Spectral properties of Pascal graphs",

abstract = "We obtain spectral properties of the Pascal graphs by exploring its spectral graph invariants such as the algebraic connectivity, the first three largest Laplacian eigenvalues and the nullity. Some open problems pertaining to the Pascal graphs are given.",

keywords = "algebraic connectivity, Laplacian eigenvalue, nullity, Pascal graph",

author = "Cheon, \{Gi Sang\} and Kim, \{Jang Soo\} and Mojallal, \{Seyed Ahmad\}",

note = "Publisher Copyright: {\textcopyright} 2017 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2018",

month = jul,

day = "3",

doi = "10.1080/03081087.2017.1356261",

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T1 - Spectral properties of Pascal graphs

AU - Cheon, Gi Sang

AU - Kim, Jang Soo

AU - Mojallal, Seyed Ahmad

PY - 2018/7/3

Y1 - 2018/7/3

N2 - We obtain spectral properties of the Pascal graphs by exploring its spectral graph invariants such as the algebraic connectivity, the first three largest Laplacian eigenvalues and the nullity. Some open problems pertaining to the Pascal graphs are given.

AB - We obtain spectral properties of the Pascal graphs by exploring its spectral graph invariants such as the algebraic connectivity, the first three largest Laplacian eigenvalues and the nullity. Some open problems pertaining to the Pascal graphs are given.

KW - algebraic connectivity

KW - Laplacian eigenvalue

KW - nullity

KW - Pascal graph

UR - https://www.scopus.com/pages/publications/85026417980

U2 - 10.1080/03081087.2017.1356261

DO - 10.1080/03081087.2017.1356261

M3 - Article

AN - SCOPUS:85026417980

SN - 0308-1087

VL - 66

SP - 1403

EP - 1417

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 7

ER -

Spectral properties of Pascal graphs

Abstract

Keywords

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