On the eigenvalues of the discrete laplace operator on combinatorial graphs

Alladustov, Shukhrat

Innovations in Science and Technologies · 2025-yil

Annotatsiya

We study discrete and metric graphs and some of their properties. We define a Laplace operator acting on a graph as a difference operator and investigate its spectral properties. Moreover, we learn its eigenvalues and eigenvectors that represent the stationary states (wavefunctions) of the considered system. A relation between the number of connected components of a graph and multiplicity of 0 as an eigenvalue of the corresponding Laplace operator is established in examples.

Maqola ma’lumotlari
MualliflarAlladustov, Shukhrat
JurnalInnovations in Science and Technologies
NashriyotТошкент давлат иқтисодиёт университети
ISSN3030-3451
Nashr sanasi2025-06-15
Jild2
Son6
Betlar588-593
TilIngliz
Ilmiy sohaIqtisodiyot
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

Graphs, connected components, Laplace operator, spectrum, eigenvalue.

Ilmiy soha

Iqtisodiyot

Iqtibos keltirish

APAAlladustov, Shukhrat (2025). ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS. Innovations in Science and Technologies, 2(6), 588-593. https://innoist.uz/index.php/ist/article/view/1023
GOST (OAK)Alladustov, Shukhrat ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS // Innovations in Science and Technologies. – 2025. – T. 2, № 6. – P. 588-593.
MLAAlladustov, Shukhrat. “ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS.” Innovations in Science and Technologies, 2(6), 588-593, 2025. https://innoist.uz/index.php/ist/article/view/1023
ChicagoAlladustov, Shukhrat. “ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS.” Innovations in Science and Technologies, 2(6), 588-593 (2025). https://innoist.uz/index.php/ist/article/view/1023
HarvardAlladustov, Shukhrat (2025) ‘ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS’, Innovations in Science and Technologies, 2(6), 588-593. https://innoist.uz/index.php/ist/article/view/1023
BibTeX
@article{alladustovshukhrat2025,
  title = {ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS},
  author = {Alladustov, Shukhrat},
  journal = {Innovations in Science and Technologies},
  year = {2025},
  volume = {2},
  number = {6},
  pages = {588-593},
  url = {https://innoist.uz/index.php/ist/article/view/1023}
}

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