Innovations in Science and Technologies 2-том 6-нөмір (2025) · 588-593-беттер

ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS

Alladustov, Shukhrat

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Аңдатпа

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. 

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

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Дәйексөз алу

APA 7 
Alladustov, Shukhrat (2025). ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS. Innovations in Science and Technologies, 2(6), 588-593.
GOST R 7.0.5 
Alladustov, Shukhrat ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS // Innovations in Science and Technologies. 2025. Т. 2. № 6. С. 588-593.
BibTeX 
@article{shukhrat2025,
  author  = {Alladustov, Shukhrat},
  title   = {ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS},
  journal = {Innovations in Science and Technologies},
  year    = {2025},
  volume  = {2},
  number  = {6},
  pages   = {588-593}
}
RIS 
TY  - JOUR
AU  - Alladustov, Shukhrat
TI  - ON THE EIGENVALUES OF THE DISCRETE LAPLACE OPERATOR ON COMBINATORIAL GRAPHS
JO  - Innovations in Science and Technologies
PY  - 2025
VL  - 2
IS  - 6
SP  - 588
EP  - 593
ER  -