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Related Concept Videos

Carbon Skeletons01:12

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Life on Earth is carbon-based, as all macromolecules that make up living organisms contain carbon atoms. All organic compounds have a carbon backbone. Each carbon atom is tetravalent and can bond with four other atoms, making it an extraordinarily flexible component of biological molecules. Because carbon’s valence electrons are stable, it rarely becomes an ion. As the carbon chain increases in length, structural modifications such as ring structures, double bonds, and branching side...
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Calcium is not only the most abundant mineral in bone but also the most abundant mineral in the human body. Calcium ions are needed for bone mineralization, tooth health, heart rate regulation and strength of contraction, blood coagulation, the contraction of smooth and skeletal muscle cells, and the regulation of nerve impulse conduction. The average calcium level in the blood is about 10 mg/dL. When the body cannot maintain this level, a person will experience hypo or hypercalcemia.
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Overview of the Axial Skeleton01:09

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The skeleton is subdivided into two major divisions—the axial skeleton and the appendicular skeleton. The axial skeleton forms the vertical, central axis of the body. It includes all of the bones of the head, neck, chest, and back. It protects the brain, spinal cord, heart, and lungs. It also serves as the attachment site for muscles that move the head, neck, and back and for muscles that act across the shoulder and hip joints to move their corresponding limbs.
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Related Experiment Video

Updated: Feb 6, 2026

Dissection and Flat-mounting of the Threespine Stickleback Branchial Skeleton
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Convex skeletons of complex networks.

Lovro Šubelj1

  • 1Faculty of Computer and Information Science, University of Ljubljana, Ljubljana, Slovenia lovro.subelj@fri.uni-lj.si.

Journal of the Royal Society, Interface
|August 17, 2018
PubMed
Summary

We introduce convex skeletons, a novel network backbone that preserves key network properties and strengthens connections. This method identifies the most convex part of complex networks, offering unique shortest paths.

Keywords:
complex networksconvex skeletonsnetwork backbonesnetwork convexity

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Area of Science:

  • Network Science
  • Graph Theory
  • Data Analysis

Background:

  • Complex networks exhibit intricate structures and relationships.
  • Identifying core network structures like backbones is crucial for understanding network properties.
  • Existing methods like spanning trees or high-betweenness backbones may not fully capture essential network characteristics.

Purpose of the Study:

  • To define and extract convex skeletons from empirical networks.
  • To investigate the properties and applications of convex skeletons.
  • To compare convex skeletons with other network backbone extraction methods.

Main Methods:

  • Definition of convex networks and convex skeletons.
  • Development and application of algorithms for extracting convex skeletons.
  • Analysis of extracted convex skeletons in various empirical networks (social, biological, technological).

Main Results:

  • Convex skeletons retain essential network properties: degree distribution, clustering, connectivity, distances, node positions, and community structure.
  • Convex skeletons make shortest paths between nodes largely unique.
  • In coauthorship networks, convex skeletons identify the strongest author ties, outperforming spanning trees and other backbone methods.

Conclusions:

  • Convex skeletons provide a robust and informative representation of network backbones.
  • This method offers a generalized approach to network spanning trees, incorporating cliques.
  • Convex skeletons have significant applications in analyzing social collaboration networks and other complex systems.