skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 4

Search for: All records

Award ID contains: 1947438

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; ; ; ; ; ; ; ; (, Mathematical Proceedings of the Cambridge Philosophical Society)
    Abstract In 2010, Turaev introduced knotoids as a variation on knots that replaces the embedding of a circle with the embedding of a closed interval with two endpoints which here we call poles. We define generalised knotoids to allow arbitrarily many poles, intervals and circles, each pole corresponding to any number of interval endpoints, including zero. This theory subsumes a variety of other related topological objects and introduces some particularly interesting new cases. We explore various analogs of knotoid invariants, including height, index polynomials, bracket polynomials and hyperbolicity. We further generalise to knotoidal graphs, which are a natural extension of spatial graphs that allow both poles and vertices. 
    more » « less
    Full Text Available 
  2. ; ; ; ; ; (, Journal of Integer Sequences)
    Free, publicly-accessible full text available March 2, 2026
  3. ; ; ; ; ; ; ; ; (, European Journal of Mathematics)
    Full Text Available 
  4. (, Korean journal of mathematics)
    Accepted Manuscript Full Text Available
  5. ; ; ; ; (, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry)
    Full Text Available 
  6. (, The Fibonacci quarterly)
    Accepted Manuscript Full Text Available
  7. ; ; ; ; ; ; ; ; ; ; et al (, Experimental Mathematics)
    Full Text Available 
  8. (, New York journal of mathematics)
    Accepted Manuscript Full Text Available
  9. ; ; ; ; ; (, Discrete Mathematics)
    Full Text Available 
  10. (, PUMP journal of undergraduate research)
    Accepted Manuscript Full Text Available