LAPLACIAN SPECTRAL CHARACTERIZATION OF SETOSA GRAPHS

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

OBOUDI MOHAMMAD REZA

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Algebraic structures and their applications Year:2023 | Volume:10 | Issue:1 Page(s): 39-46

Download Full-Text

View:

Download:

Cites:

Information Journal Paper

Title

LAPLACIAN SPECTRAL CHARACTERIZATION OF SETOSA GRAPHS

Author(s)

OBOUDI MOHAMMAD REZA | Issue Writer Certificate

Keywords

DLS graphs

Laplacian matrix

Laplacian spectrum

L-cospectral graphs

Setosa graph

Abstract

A Setosa graph SG(e, f, g, h, d,b1, b2, . . ., bs) is a graph consisting of five cycles and s(≥,1) paths Pb1+1, Pb2+1, . . ., Pbs+1 intersecting in a single vertex that all meet in one vertex, where bi ≥,1 (for i = 1, . . ., s) and e, f, g, h, d ≥,3 denote the length of the cycles Ce, Cf, Cg, Ch and Cd, respectively. Two graphs G and H are L-cospectral if they have the same Laplacian spectrum. A graph G is said to be determined by the spectrum of its Laplacian matrix (DLS, for short) if every graph with the same Laplacian spectrum is isomorphic to G. In this paper we prove that if H is a L-cospectral graph with a Setosa graph G, then H is also a Setosa graph and the degree sequence of G and H are the same. We conjecture that all Setosa graphs are DLS.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

APA: Copy

OBOUDI, MOHAMMAD REZA. (2023). LAPLACIAN SPECTRAL CHARACTERIZATION OF SETOSA GRAPHS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 10(1), 39-46. SID. https://sid.ir/paper/1060674/en

Vancouver: Copy

OBOUDI MOHAMMAD REZA. LAPLACIAN SPECTRAL CHARACTERIZATION OF SETOSA GRAPHS. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2023;10(1):39-46. Available from: https://sid.ir/paper/1060674/en

IEEE: Copy

MOHAMMAD REZA OBOUDI, “LAPLACIAN SPECTRAL CHARACTERIZATION OF SETOSA GRAPHS,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 10, no. 1, pp. 39–46, 2023, [Online]. Available: https://sid.ir/paper/1060674/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops