Far East Journal of Mathematical Sciences (FJMS)

The Far East Journal of Mathematical Sciences (FJMS) publishes original research papers and survey articles in pure and applied mathematics, statistics, mathematical physics, and other related fields. It welcomes application-oriented work as well.

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ALGEBRAIC MULTIPLICITY OF EIGENVALUE ZERO OF CERTAIN BI-REGULAR GRAPHS

Authors

  • Masakazu Nihei

Keywords:

eigenvalue, rank, bi-regular graph, adjacency matrix, algebraic multiplicity, degree sequence

DOI:

https://doi.org/10.17654/0972087124019

Abstract

A bi-regular graph is a graph whose degree sequence is exactly two.

In this article, we give the algebraic multiplicity of the eigenvalue zero of certain bi-regular graphs.

Received: March 10, 2024
Accepted: April 11, 2024

References

G. Chartrand and L. Lesniak, Graphs and Digraphs, Wadsworth & Brooks/Cole Advanced Books & Software, Monterey, California, 1986.

D. M. Cvetkovic, M. Doob and H. Sachs, Spectra of Graphs, Academic Press, 1974.

R. B. Bapat, Graphs and Matrices, Springer, 2010.

G. L. Bradly, A Primer of Linear Algebra, Prentice-Hill, Inc. Englewood Cliffs, New Jersey, 1975.

F. Harary and A. J. Schwenk, Which graphs have integral spectra? Graphs and Combinatorics, Lecture Notes in Mathematics 406, R. A. Bari and F. Harary, eds., Springer-Verlag, 1974, pp. 45-51.

M. Nihei, On characterization of endline graphs and middle graphs by using eigenvalue, Far East J. Math. Sci. (FJMS) 124(2) (2020), 173-180.

Published

2024-09-14

Issue

Section

Articles

How to Cite

ALGEBRAIC MULTIPLICITY OF EIGENVALUE ZERO OF CERTAIN BI-REGULAR GRAPHS. (2024). Far East Journal of Mathematical Sciences (FJMS), 141(4), 317-326. https://doi.org/10.17654/0972087124019

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