D-Integral, DQ-Integral and DL-Integral Generalized Double-Wheel Graphs

Yirui Chai; Ligong Wang; Yuwei Zhou

doi:10.1007/s40840-024-01710-7

D-Integral, DQ-Integral and DL-Integral Generalized Double-Wheel Graphs

Yirui Chai
, Ligong Wang
, Yuwei Zhou

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

4 Scopus citations

Abstract

The graph aK_m,m∇C_n is named the generalized double-wheel graph. A graph G is said to be M-integral (resp. A-integral, D-integral, D^L-integral or D^Q-integral) if all eigenvalues of its matrix M (resp. adjacency matrix A(G), distance matrix D(G), distance Laplacian matrix D^L(G) or distance signless Laplacian matrix D^Q(G)) are integers. In this paper, we completely determine all D-integral, D^L-integral and D^Q-integral generalized double-wheel graphs respectively.

Original language	English
Article number	118
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	47
Issue number	4
DOIs	https://doi.org/10.1007/s40840-024-01710-7
State	Published - Jul 2024

Keywords

05C12
05C50
11A05
11D09
Distance Laplacian (signless) spectrum
Distance spectrum
Join
M-integral graph
Regular graphs

Access to Document

10.1007/s40840-024-01710-7

Cite this

@article{493df9bcad33421c8e7d7385f9d8ec8c,

title = "D-Integral, DQ-Integral and DL-Integral Generalized Double-Wheel Graphs",

abstract = "The graph aKm,m∇Cn is named the generalized double-wheel graph. A graph G is said to be M-integral (resp. A-integral, D-integral, DL-integral or DQ-integral) if all eigenvalues of its matrix M (resp. adjacency matrix A(G), distance matrix D(G), distance Laplacian matrix DL(G) or distance signless Laplacian matrix DQ(G)) are integers. In this paper, we completely determine all D-integral, DL-integral and DQ-integral generalized double-wheel graphs respectively.",

keywords = "05C12, 05C50, 11A05, 11D09, Distance Laplacian (signless) spectrum, Distance spectrum, Join, M-integral graph, Regular graphs",

author = "Yirui Chai and Ligong Wang and Yuwei Zhou",

note = "Publisher Copyright: {\textcopyright} Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2024.",

year = "2024",

month = jul,

doi = "10.1007/s40840-024-01710-7",

language = "英语",

volume = "47",

journal = "Bulletin of the Malaysian Mathematical Sciences Society",

issn = "0126-6705",

publisher = "Springer Singapore",

number = "4",

}

TY - JOUR

T1 - D-Integral, DQ-Integral and DL-Integral Generalized Double-Wheel Graphs

AU - Chai, Yirui

AU - Wang, Ligong

AU - Zhou, Yuwei

N1 - Publisher Copyright: © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2024.

PY - 2024/7

Y1 - 2024/7

N2 - The graph aKm,m∇Cn is named the generalized double-wheel graph. A graph G is said to be M-integral (resp. A-integral, D-integral, DL-integral or DQ-integral) if all eigenvalues of its matrix M (resp. adjacency matrix A(G), distance matrix D(G), distance Laplacian matrix DL(G) or distance signless Laplacian matrix DQ(G)) are integers. In this paper, we completely determine all D-integral, DL-integral and DQ-integral generalized double-wheel graphs respectively.

AB - The graph aKm,m∇Cn is named the generalized double-wheel graph. A graph G is said to be M-integral (resp. A-integral, D-integral, DL-integral or DQ-integral) if all eigenvalues of its matrix M (resp. adjacency matrix A(G), distance matrix D(G), distance Laplacian matrix DL(G) or distance signless Laplacian matrix DQ(G)) are integers. In this paper, we completely determine all D-integral, DL-integral and DQ-integral generalized double-wheel graphs respectively.

KW - 05C12

KW - 05C50

KW - 11A05

KW - 11D09

KW - Distance Laplacian (signless) spectrum

KW - Distance spectrum

KW - Join

KW - M-integral graph

KW - Regular graphs

UR - https://www.scopus.com/pages/publications/85194859929

U2 - 10.1007/s40840-024-01710-7

DO - 10.1007/s40840-024-01710-7

M3 - 文章

AN - SCOPUS:85194859929

SN - 0126-6705

VL - 47

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 4

M1 - 118

ER -

D-Integral, DQ-Integral and DL-Integral Generalized Double-Wheel Graphs

Abstract

Keywords

Access to Document

Other files and links

Cite this