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

Phylogenetic Trees03:21

Phylogenetic Trees

6.7K
6.7K
Phylogenetic Trees03:21

Phylogenetic Trees

51.5K
Phylogenetic trees come in many forms. It matters in which sequence the organisms are arranged from the bottom to the top of the tree, but the branches can rotate at their nodes without altering the information. The lines connecting individual nodes can be straight, angled, or even curved.
51.5K
Phylogeny01:23

Phylogeny

64.3K
Phylogeny is concerned with the evolutionary diversification of organisms or groups of organisms. A group of organisms with a name is called a taxon (singular). Taxa (plural) can span different levels of the evolutionary hierarchy. For instance, the group containing all birds is a taxon (comprising the class Aves), and the group of all species of daisies (the genus Bellis) is a taxon. Phylogenies can likewise include just one genus (i.e., depict species relationships) or span an entire kingdom.
64.3K
Evolutionary Relationships through Genome Comparisons02:54

Evolutionary Relationships through Genome Comparisons

7.2K
Genome comparison is one of the excellent ways to interpret the evolutionary relationships between organisms. The basic principle of genome comparison is that if two species share a common feature, it is likely encoded by the DNA sequence conserved between both species. The advent of genome sequencing technologies in the late 20th century enabled scientists to understand the concept of conservation of domains between species and helped them to deduce evolutionary relationships across diverse...
7.2K
Convergent Evolution01:54

Convergent Evolution

34.2K
Evolution shapes the features of organisms over time, ensuring that they are suited for the environments in which they live. Sometimes, selection pressure leads to the rise of similar but unrelated adaptations in organisms with no recent common ancestors, a process known as convergent evolution.
34.2K
The Tree of Life - Bacteria, Archaea, Eukaryotes02:40

The Tree of Life - Bacteria, Archaea, Eukaryotes

41.3K
The “tree of life” describes the evolution of life and the evolutionary relationships between organisms. The root of the tree is the common ancestor to all life on Earth. All other species radiate from this point, much like the branches of a tree. The numerous tips of these branches on the tree of life represent every living, or extant, species. Extinct species, which are species that no longer exist, can be found towards the center of the tree. Currently, these organisms, both...
41.3K

You might also read

Related Articles

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

Sort by
Same author

Risk of Bias in Experiments, Quasi-Experiments and Natural Experiments Across Disciplines: Discussion Paper and Assessment Framework.

Campbell systematic reviews·2026
Same author

Therapy-Associated Polyposis in Pediatric Cancer Survivors.

Pediatric blood & cancer·2026
Same author

Using and distinguishing evidence from non-randomised studies of interventions.

BMJ evidence-based medicine·2026
Same author

RAD51 -Related Fanconi Anemia: Expanding the Phenotypic Spectrum and Strong Association With VACTERL.

Clinical genetics·2025
Same author

Severe Hemolytic Phenotype in Children With Sickle Cell Anemia and Co-Inherited Red Blood Cell Variants.

Pediatric blood & cancer·2025
Same author

Functional screening identifies kinesin spindle protein inhibitor filanesib as a potential treatment option for hepatoblastoma.

NPJ precision oncology·2025
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Mar 17, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

3.8K

Active spanning trees and Schramm-Loewner evolution.

Adrien Kassel1, David B Wilson2

  • 1Departement Mathematik, ETH, 8092 Zürich, Switzerland.

Physical Review. E
|July 15, 2016
PubMed
Summary
This summary is machine-generated.

This study explores Peano curves separating spanning trees on planar graphs. The research suggests these curves converge to space-filling loops for a wider range of weights, extending previous findings.

More Related Videos

Resurrection of Dormant Daphnia magna: Protocol and Applications
07:37

Resurrection of Dormant Daphnia magna: Protocol and Applications

Published on: January 19, 2018

19.5K
Microinjection for Transgenesis and Genome Editing in Threespine Sticklebacks
08:51

Microinjection for Transgenesis and Genome Editing in Threespine Sticklebacks

Published on: May 13, 2016

14.8K

Related Experiment Videos

Last Updated: Mar 17, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

3.8K
Resurrection of Dormant Daphnia magna: Protocol and Applications
07:37

Resurrection of Dormant Daphnia magna: Protocol and Applications

Published on: January 19, 2018

19.5K
Microinjection for Transgenesis and Genome Editing in Threespine Sticklebacks
08:51

Microinjection for Transgenesis and Genome Editing in Threespine Sticklebacks

Published on: May 13, 2016

14.8K

Area of Science:

  • Graph Theory
  • Stochastic Processes
  • Mathematical Physics

Background:

  • The study of spanning trees and their duals on planar graphs is fundamental in network analysis and statistical mechanics.
  • The connection between discrete structures and continuous processes, like Schramm-Loewner Evolution (SLE), is a key area of research.

Purpose of the Study:

  • To investigate the behavior of Peano curves separating weighted spanning and dual spanning trees on planar graphs.
  • To extend the understanding of the convergence of these curves to space-filling Schramm-Loewner Evolution (SLE) loops for a broader range of parameters.

Main Methods:

  • Analysis of Peano curves on embedded planar graphs, specifically grid approximations of simply connected domains.
  • Utilizing weighting schemes based on the Tutte polynomial and the concept of 'active' edges.
  • Relating discrete graph parameters (weight y) to continuous SLE parameters (κ) via the formula y = 1 - 2cos(4π/κ).

Main Results:

  • Established convergence of Peano curves to SLE loops for y=1 and y=1+sqrt[2] (corresponding to 4<κ≤8).
  • Presented arguments for the convergence of Peano curves to SLE loops for the range 0≤y<1 (corresponding to 8<κ≤12).

Conclusions:

  • The convergence of Peano curves to space-filling SLE loops is shown to hold for a wider parameter range than previously established.
  • This research bridges discrete graph theory with continuous stochastic processes, offering new insights into fractal geometry and critical phenomena.