Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Molecular Weight of Step-Growth Polymers01:08

Molecular Weight of Step-Growth Polymers

2.9K
Step growth polymerization involves bi or multifunctional monomers. Bifunctional monomers react to form linear step growth polymers, whereas multifunctional monomers react to form non-linear or branched polymers.
As the step-growth polymerization involves step-wise condensation of monomers, the molecular weight also builds up eventually. Consequently, high molecular weight polymers are obtained at the late stages of the polymerization, where 99% of monomers have been consumed.
The extent of the...
2.9K
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

49.0K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
49.0K
SFG Algebra01:16

SFG Algebra

361
In Signal Flow Graph (SFG) algebra, the value a node represents is determined by the sum of all signals entering that node. This summed value is then transmitted through every branch leaving the node, making the SFG a powerful tool for visualizing and analyzing control systems.
Each node in an SFG corresponds to a variable, and the interactions between nodes are represented by branches with associated gains. When multiple branches lead into a node, the value at that node is the sum of the...
361
Synthetic Disvision of Polynomials01:28

Synthetic Disvision of Polynomials

226
Synthetic division is an efficient algorithmic approach for dividing a polynomial by a linear binomial of the form x - c, where c is a real number. This method is helpful due to its streamlined process, which avoids the more cumbersome steps involved in the traditional long division of polynomials. It simplifies computation and serves as a practical tool for evaluating polynomials and identifying their factors.To perform synthetic division, one begins by listing the coefficients of the...
226
Ladder Diagrams: Complexation Equilibria01:07

Ladder Diagrams: Complexation Equilibria

657
Ladder diagrams are useful for evaluating equilibria involving metal-ligand complexes. The vertical scale of the ladder diagram represents the concentration of unreacted or free ligand, pL. The horizontal lines on the scale depict the log of stepwise formation constants for metal-ligand complexes and indicate the dominant species in all the regions.
The formation constant, K1, for the formation of Cd(NH3)2+ complex from cadmium and ammonia is 3.55 × 102. Log K1 (i.e. pNH3) is 2.55, and...
657
Sieve Analysis and Grading Curves01:19

Sieve Analysis and Grading Curves

1.1K
Sieve analysis is a method used to determine the particle size distribution of aggregate materials. This process involves the following steps:
1.1K

You might also read

Related Articles

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

Sort by
Same author

Designing topological cluster synchronization patterns with the Dirac operator.

Physical review. E·2026
Same author

Triadic percolation on multilayer networks.

Physical review. E·2026
Same author

Neighbourhood topology unveils pathological hubs in the brain networks of epilepsy-surgery patients.

Brain communications·2025
Same author

Mining higher-order triadic interactions.

Nature communications·2025
Same author

Beyond holography: The entropic quantum gravity foundations of anisotropic diffusion.

Physical review. E·2025
Same author

Correction: Bianconi, G. The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law. <i>Entropy</i> 2025, <i>27</i>, 266.

Entropy (Basel, Switzerland)·2025

Related Experiment Video

Updated: Feb 26, 2026

Self-assembling Morphologies Obtained from Helical Polycarbodiimide Copolymers and Their Triazole Derivatives
09:22

Self-assembling Morphologies Obtained from Helical Polycarbodiimide Copolymers and Their Triazole Derivatives

Published on: February 7, 2017

8.3K

Weighted growing simplicial complexes.

Owen T Courtney1, Ginestra Bianconi1

  • 1School of Mathematical Sciences, Queen Mary University of London, E1 4NS London, United Kingdom.

Physical Review. E
|July 16, 2017
PubMed
Summary
This summary is machine-generated.

We introduce a new model for weighted growing simplicial complexes, which are complex network structures. This model reveals how weights and topology interact across all network dimensions.

More Related Videos

Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules
10:58

Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules

Published on: July 25, 2013

17.7K
Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics
14:14

Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics

Published on: April 16, 2017

12.0K

Related Experiment Videos

Last Updated: Feb 26, 2026

Self-assembling Morphologies Obtained from Helical Polycarbodiimide Copolymers and Their Triazole Derivatives
09:22

Self-assembling Morphologies Obtained from Helical Polycarbodiimide Copolymers and Their Triazole Derivatives

Published on: February 7, 2017

8.3K
Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules
10:58

Protein WISDOM: A Workbench for In silico De novo Design of BioMolecules

Published on: July 25, 2013

17.7K
Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics
14:14

Quantification of Strain in a Porcine Model of Skin Expansion Using Multi-View Stereo and Isogeometric Kinematics

Published on: April 16, 2017

12.0K

Area of Science:

  • Network Science
  • Complex Systems
  • Mathematical Physics

Background:

  • Simplicial complexes model complex interactions beyond pairwise relationships.
  • Real-world networks, such as collaboration and brain networks, are often weighted.
  • Existing models may not fully capture the interplay between weights and topology in higher-dimensional structures.

Purpose of the Study:

  • To propose a novel nonequilibrium model for the growth of weighted simplicial complexes.
  • To investigate the emergent properties arising from the interplay of weights and topology.
  • To analyze how these interactions manifest across different dimensional faces of the complex.

Main Methods:

  • Development of a nonequilibrium dynamic model for simplicial complex growth.
  • Incorporation of weights into the growing simplicial complex framework.
  • Analysis of the topological and weight distributions within the generated complexes.

Main Results:

  • The proposed model successfully generates weighted simplicial complexes.
  • A rich interplay between weights and topology is observed.
  • This interplay is evident not only at the node and link level but also in higher-dimensional faces.

Conclusions:

  • The nonequilibrium model provides a framework for understanding weighted simplicial complex formation.
  • The model highlights the importance of considering weight-topology interplay in higher dimensions.
  • This approach offers insights into the structure of complex real-world networks.