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4 results for “Delta-unknotting”

Delta-Unknotting Number for Pretzel Knotsmath.GT

The paper calculates the Δ-unknotting number for positive pretzel knots.

problem Determining the minimum number of Δ-moves to simplify pretzel knots.

method Analyzing the Conway polynomial and computing Δ-unknotting numbers.

result The Δ-unknotting number for positive pretzel knots is maximized by a specific knot type.

Delta-unknotting Pretzel knots Conway polynomial Torus knots Odd type

2026-02-05abs ↗pdf ↗

Étude on the Delta-unknotting numbermath.GT

Study shows quasi-additivity of Δ-unknotting number for braids.

problem Understanding Δ-unknotting number for braids.

method Derived lower bounds on Casson invariant, showed quasi-additivity.

result Quasi-additivity of Δ-unknotting number for braids.

Δ-unknotting number Casson invariant positive braids negative braids

2026-07-22abs ↗pdf ↗

The delta-unlinking number of algebraically split linksmath.GT

Delta-unlinking number measures how to unlink algebraically split links.

problem Measuring unlinking complexity of algebraically split links.

method Defining delta-unlinking number as minimum delta-moves to unlink, proving bounds and calculating specific values.

result Precise delta-unlinking numbers for algebraically split prime links up to 9 crossings, and 4-genus values for most.

delta-moves algebraically split links unlinking number prime knots 4-genus

2021-07-14abs ↗pdf ↗

Delta-Unknotting Number for Two-Bridge Knotsmath.GT

Study determines $Δ$ -unknotting numbers for two-bridge knots.

problem Determining the minimum number of

Δ

-moves to simplify two-bridge knots.

method Examined two-bridge knots of specific types and calculated their

Δ

-unknotting numbers.

result Identified two-bridge knots with

Δ

-unknotting number equal to one.

two-bridge knots Δ-unknotting number Δ-moves knot simplification

2025-12-28abs ↗pdf ↗