Construction of Cospectral Integral Regular Graphs
Graphs G and H are called cospectral if they have the same characteristic polynomial. If eigenvalues are integral, then corresponding graphs are called integral graph. In this article we introduce a construction to produce pairs of cospectral integral regular graphs. Generalizing the construction of...
| Published in: | Discussiones Mathematicae Graph Theory |
|---|---|
| Main Authors: | Bapat Ravindra B., Karimi Masoud |
| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2017-08-01
|
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgt.1960 |
Similar Items
Connected graphs cospectral with a Friendship graph
by: Alireza Abdollahi, et al.
Published: (2014-06-01)
by: Alireza Abdollahi, et al.
Published: (2014-06-01)
How to Distinguish Cospectral Graphs
by: Saeree Wananiyakul, et al.
Published: (2022-12-01)
by: Saeree Wananiyakul, et al.
Published: (2022-12-01)
New constructions of nonregular cospectral graphs
by: Hamud Suleiman, et al.
Published: (2024-02-01)
by: Hamud Suleiman, et al.
Published: (2024-02-01)
On cospectrality of gain graphs
by: Cavaleri Matteo, et al.
Published: (2022-06-01)
by: Cavaleri Matteo, et al.
Published: (2022-06-01)
A cospectral construction for the generalized distance matrix
by: Friesen Ori, et al.
Published: (2025-07-01)
by: Friesen Ori, et al.
Published: (2025-07-01)
On the Spectral Characterizations of Graphs
by: Huang Jing, et al.
Published: (2017-08-01)
by: Huang Jing, et al.
Published: (2017-08-01)
On Regular Signed Graphs with Three Eigenvalues
by: Anđelić Milica, et al.
Published: (2020-05-01)
by: Anđelić Milica, et al.
Published: (2020-05-01)
Cospectral Pairs of Regular Graphs with Different Connectivity
by: Haemers Willem H.
Published: (2020-05-01)
by: Haemers Willem H.
Published: (2020-05-01)
Spectral deviations of graphs
by: Stanić Zoran
Published: (2025-02-01)
by: Stanić Zoran
Published: (2025-02-01)
The distance Seidel matrix of connected graphs
by: T. Haritha, et al.
Published: (2025-04-01)
by: T. Haritha, et al.
Published: (2025-04-01)
Spectra of R-Vertex Join and R-Edge Join of Two Graphs
by: Das Arpita, et al.
Published: (2018-06-01)
by: Das Arpita, et al.
Published: (2018-06-01)
Determining Graphs by the Complementary Spectrum
by: Pinheiro Lucélia K., et al.
Published: (2020-05-01)
by: Pinheiro Lucélia K., et al.
Published: (2020-05-01)
Least eigenvalue of the connected graphs whose complements are cacti
by: Wang Haiying, et al.
Published: (2019-11-01)
by: Wang Haiying, et al.
Published: (2019-11-01)
On Trees as Star Complements in Regular Graphs
by: Rowlinson Peter
Published: (2020-05-01)
by: Rowlinson Peter
Published: (2020-05-01)
Eigenpairs of adjacency matrices of balanced signed graphs
by: Chen Mei-Qin
Published: (2024-07-01)
by: Chen Mei-Qin
Published: (2024-07-01)
On the spread of outerplanar graphs
by: Gotshall Daniel, et al.
Published: (2022-03-01)
by: Gotshall Daniel, et al.
Published: (2022-03-01)
Eigenvalues of complex unit gain graphs and gain regularity
by: Brunetti Maurizio
Published: (2024-05-01)
by: Brunetti Maurizio
Published: (2024-05-01)
On the spectral radius and energy of the degree distance matrix of a connected graph
by: Khan Zia Ullah, et al.
Published: (2025-04-01)
by: Khan Zia Ullah, et al.
Published: (2025-04-01)
Determinantal properties of Boolean graphs using recursive approach
by: Gahininath Sonawane, et al.
Published: (2024-01-01)
by: Gahininath Sonawane, et al.
Published: (2024-01-01)
A Few Examples and Counterexamples in Spectral Graph Theory
by: Stevanović Dragan, et al.
Published: (2020-05-01)
by: Stevanović Dragan, et al.
Published: (2020-05-01)
More on Signed Graphs with at Most Three Eigenvalues
by: Ramezani Farzaneh, et al.
Published: (2022-11-01)
by: Ramezani Farzaneh, et al.
Published: (2022-11-01)
Some Observations on the Smallest Adjacency Eigenvalue of a Graph
by: Cioabă Sebastian M., et al.
Published: (2020-05-01)
by: Cioabă Sebastian M., et al.
Published: (2020-05-01)
Walks and eigenvalues of signed graphs
by: Stanić Zoran
Published: (2023-09-01)
by: Stanić Zoran
Published: (2023-09-01)
Incidence matrices and line graphs of mixed graphs
by: Abudayah Mohammad, et al.
Published: (2023-01-01)
by: Abudayah Mohammad, et al.
Published: (2023-01-01)
The spectral Turán problem about graphs of given size with forbidden subgraphs
by: Amir Rehman, et al.
Published: (2025-01-01)
by: Amir Rehman, et al.
Published: (2025-01-01)
Computing the determinant of a signed graph
by: Alshamary Bader, et al.
Published: (2024-03-01)
by: Alshamary Bader, et al.
Published: (2024-03-01)
𝕮-inverse of graphs and mixed graphs
by: Alomari Omar, et al.
Published: (2025-02-01)
by: Alomari Omar, et al.
Published: (2025-02-01)
On the Eigenvalue Spectrum of Cayley Graphs: Connections to Group Structure and Expander Properties
by: Mohamed A. Abd Elgawad, et al.
Published: (2025-10-01)
by: Mohamed A. Abd Elgawad, et al.
Published: (2025-10-01)
Balancedness and the Least Laplacian Eigenvalue of Some Complex Unit Gain Graphs
by: Belardo Francesco, et al.
Published: (2020-05-01)
by: Belardo Francesco, et al.
Published: (2020-05-01)
Integral Laplacian graphs with a unique repeated Laplacian eigenvalue, I
by: Hameed Abdul, et al.
Published: (2023-12-01)
by: Hameed Abdul, et al.
Published: (2023-12-01)
Graphs with the second signless Laplacian eigenvalue ≤ 4
by: Drury Stephen
Published: (2021-12-01)
by: Drury Stephen
Published: (2021-12-01)
On the minimum spectral radius of connected graphs of given order and size
by: Cioaba Sebastian M., et al.
Published: (2024-09-01)
by: Cioaba Sebastian M., et al.
Published: (2024-09-01)
Spectral Invariants and Their Application on Spectral Characterization of Graphs
by: Jun Yin, et al.
Published: (2022-05-01)
by: Jun Yin, et al.
Published: (2022-05-01)
Some results involving the Aα-eigenvalues for graphs and line graphs
by: da Silva Júnior João Domingos G., et al.
Published: (2024-07-01)
by: da Silva Júnior João Domingos G., et al.
Published: (2024-07-01)
γ-Inverse graph of some mixed graphs
by: Boulahmar Wafa, et al.
Published: (2024-08-01)
by: Boulahmar Wafa, et al.
Published: (2024-08-01)
An upper bound for the largest singular value of extended mixed graphs
by: Zoran Stanić
Published: (2025-06-01)
by: Zoran Stanić
Published: (2025-06-01)
Existence of Regular Nut Graphs for Degree at Most 11
by: Fowler Patrick W., et al.
Published: (2020-05-01)
by: Fowler Patrick W., et al.
Published: (2020-05-01)
On The Eigenvalue Distribution Of Adjacency Matrices For Connected Planar Graphs
by: Griffith Daniel A.
Published: (2015-12-01)
by: Griffith Daniel A.
Published: (2015-12-01)
Brouwer's conjecture for the sum of the k largest Laplacian eigenvalues of some graphs
by: Wang Ke, et al.
Published: (2024-10-01)
by: Wang Ke, et al.
Published: (2024-10-01)
Tricyclic graphs with exactly two main eigenvalues
by: Fan Xiaoxia, et al.
Published: (2013-10-01)
by: Fan Xiaoxia, et al.
Published: (2013-10-01)
Similar Items
-
Connected graphs cospectral with a Friendship graph
by: Alireza Abdollahi, et al.
Published: (2014-06-01) -
How to Distinguish Cospectral Graphs
by: Saeree Wananiyakul, et al.
Published: (2022-12-01) -
New constructions of nonregular cospectral graphs
by: Hamud Suleiman, et al.
Published: (2024-02-01) -
On cospectrality of gain graphs
by: Cavaleri Matteo, et al.
Published: (2022-06-01) -
A cospectral construction for the generalized distance matrix
by: Friesen Ori, et al.
Published: (2025-07-01)
