Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Routh-Hurwitz Criterion II

Routh-Hurwitz Criterion II

In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...

Routh-Hurwitz Criterion I

Routh-Hurwitz Criterion I

Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...

Random Variables

Random Variables

A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability theory and was introduced by a Russian mathematician, Pafnuty Chebyshev, in the mid-nineteenth century.
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...

Norton's Theorem

Norton's Theorem

Norton's theorem is a fundamental principle stating that a linear two-terminal circuit can be substituted with an equivalent circuit, which comprises a current source (ⅠN) in parallel with a resistor (RN). Here, ⅠN represents the short-circuit current flowing through the terminals, and RN stands for the input or equivalent resistance at the terminals when all independent sources are deactivated. This implies that the circuit illustrated in Figure (a) can be exchanged with the...

Compacting Factor test

Compacting Factor test

The compacting factor test is a method used to assess the workability of concrete. It is especially suitable for concrete mixes containing aggregates up to one and a half inches in size. This test involves specialized equipment consisting of two truncated cone-shaped hoppers and a cylinder, all with polished interior surfaces to minimize friction.
The procedure begins by placing concrete into the upper hopper without any compaction. Once filled, the bottom door of this hopper is opened,...

Measures of Central Tendency

Measures of Central Tendency

The "center" of a data set is also a way of describing location. The two most widely used measures of the "center" of the data are the mean (average) and the median. The words "mean" and "average" are often used interchangeably. The substitution of one word for the other is common practice. The technical term is "arithmetic mean" and "average" is technically a center location. However, in practice among non-statisticians,...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Quantification and Determination of Compatible Bacterial Consortia.

Microbial biotechnology·2025

Same author

Structural and Electrochemical Properties of 4-Methyl-4'-(<i>n</i>-mercaptoalkyl) Biphenyls Self-Assembled on the Au(100)-(1 × 1) Surface.

Langmuir : the ACS journal of surfaces and colloids·2025

Same author

In Situ Synthesis of a Hydroxyapatite and Reduced Graphene Oxide Composite for Potential Electrochemical Biosensing Applications.

ACS omega·2025

Same author

Singular-value statistics of directed random graphs.

Physical review. E·2025

Same author

Dissipative fractional standard maps: Riemann-Liouville and Caputo.

Chaos (Woodbury, N.Y.)·2025

Same author

Stability mapping of bipartite tight-binding graphs with losses and gain: PTPT-symmetry and beyond.

Chaos (Woodbury, N.Y.)·2024

Search research articles

Related Experiment Video

Updated: Oct 22, 2025

Modeling the Functional Network for Spatial Navigation in the Human Brain

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

Normalized Sombor Indices as Complexity Measures of Random Networks.

R Aguilar-Sánchez¹, J A Méndez-Bermúdez², José M Rodríguez³

¹Facultad de Ciencias Químicas, Benemérita Universidad Autónoma de Puebla, Puebla 72570, Mexico.

Entropy (Basel, Switzerland)

|August 27, 2021

Summary

This summary is machine-generated.

This study explores Sombor indices on random networks, finding normalized values correlate with network complexity and Shannon entropy. These Sombor indices offer insights into network structure and information content.

Keywords:

Sombor indices computational analysis of networks degree–based topological indices random networks

More Related Videos

Electroencephalography Network Indices as Biomarkers of Upper Limb Impairment in Chronic Stroke

Electroencephalography Network Indices as Biomarkers of Upper Limb Impairment in Chronic Stroke

Published on: July 14, 2023

Network Analysis of Foramen Ovale Electrode Recordings in Drug-resistant Temporal Lobe Epilepsy Patients

Network Analysis of Foramen Ovale Electrode Recordings in Drug-resistant Temporal Lobe Epilepsy Patients

Published on: December 18, 2016

Related Experiment Videos

Last Updated: Oct 22, 2025

Modeling the Functional Network for Spatial Navigation in the Human Brain

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

Electroencephalography Network Indices as Biomarkers of Upper Limb Impairment in Chronic Stroke

Electroencephalography Network Indices as Biomarkers of Upper Limb Impairment in Chronic Stroke

Published on: July 14, 2023

Network Analysis of Foramen Ovale Electrode Recordings in Drug-resistant Temporal Lobe Epilepsy Patients

Network Analysis of Foramen Ovale Electrode Recordings in Drug-resistant Temporal Lobe Epilepsy Patients

Published on: December 18, 2016

Area of Science:

Network science
Graph theory
Computational mathematics

Background:

Sombor indices are novel graph invariants.
Random networks are fundamental models in network science.
Understanding network complexity is crucial for various applications.

Purpose of the Study:

To computationally investigate Sombor indices on three distinct random network models.
To analyze the scaling behavior of normalized Sombor indices with network properties.
To evaluate Sombor indices as potential measures of network complexity.

Main Methods:

Application of Sombor indices to Erdös-Rényi networks, random geometric graphs, and bipartite random networks.
Utilizing statistical random matrix theory for analysis.
Correlating Sombor indices with Shannon entropy of adjacency matrix eigenvectors.

Main Results:

Normalized average Sombor indices scale with the average degree of the random networks.
Selected normalized Sombor indices demonstrate a strong correlation with Shannon entropy.
The study establishes a link between Sombor indices and network complexity.

Conclusions:

Sombor indices provide valuable insights into the structural properties of random networks.
Normalized Sombor indices can serve as effective complexity measures for these networks.
The findings suggest potential applications in information theory and network analysis.