The Linking-Unlinking Game.

@article{Giambrone2018TheLG,
  title={The Linking-Unlinking Game.},
  author={A. Giambrone and J. Murphy},
  journal={arXiv: Geometric Topology},
  year={2018}
}
Combinatorial two-player games have recently been applied to knot theory. Examples of this include the Knotting-Unknotting Game and the Region Unknotting Game, both of which are played on knot shadows. These are turn-based games played by two players, where each player has a separate goal to achieve in order to win the game. In this paper, we introduce the Linking-Unlinking Game which is played on two-component link shadows. We then present winning strategies for the Linking-Unlinking Game… Expand

References

SHOWING 1-10 OF 10 REFERENCES
The Knotting-Unknotting Game played on Sums of Rational Shadows
  • 4
  • PDF
A Midsummer Knot's Dream
  • 9
  • Highly Influential
  • PDF
Twist Untangle and Related Knot Games
  • 2
  • PDF
Pseudo diagrams of knots, links and spatial graphs
  • 38
  • PDF
Modern Graph Theory
  • B. Bollobás
  • Computer Science, Mathematics
  • Graduate Texts in Mathematics
  • 2002
  • 2,529
An Interactive Introduction to Knot Theory
  • Dover Publications,
  • 2017
The region unknotting
  • game. Math. Mag.,
  • 2017
The knot book: An elementary introduction to the mathematical theory of knots
  • 154
A combinatorial introduction to topology
  • 326