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PreprintCC BY 4.0arXiv

Inverting Dependently Random Tournaments

  • Kada Williams
Open at sourcePDFDOICite

Abstract

Let inv(T) be the inversion index of the tournament T. Answering a question of Behague, we show that inv(T1→ T2)=inv(T1)+inv(T2) does not even hold asymptotically.

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Cite

BibTeXRIS
BibTeX
@misc{williams2026inverting,
  title = {{Inverting Dependently Random Tournaments}},
  author = {Kada Williams},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30185},
  eprint = {2610.30185},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30185},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Inverting Dependently Random Tournaments
AU  - Kada Williams
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.30185
UR  - https://arxiv.org/abs/2610.30185
AB  - Let inv(T) be the inversion index of the tournament T. Answering a question of Behague, we show that inv(T_1→ T_2)=inv(T_1)+inv(T_2) does not even hold asymptotically.
ER  -