Extension of Partial Automorphisms in Finite Tournament: Announcement

Kudaibergenov K.Z.
May 2025 Springer

Algebra and Logic
2025 #64 Issue 2 92 - 95 pp.

We announce a positive solution to the partial automorphism extension problem for finite tournaments in the case of a unique partial automorphism, along with an estimate for the order of the resulting extension. We also announce the result that every finite tournament can be embedded into a finite vertex-transitive tournament, with the order of this vertex -transitive tournament specified. Complete proofs will be published in Algebra Logic 64, No. 3 (2025).

graph , partial automorphism

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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Institute of Mathematics and Mathematical Modeling

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