Sharp Concurrence Bounds for a Reflected-Line Construction

A reflected-line construction gives at most three distinct concurrent inputs, and an exact example attains the bound. A quintic coefficient comparison proves the result. A variable construction ratio has a sharp transition between maxima of five and three concurrent inputs.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23887922
Primary Topic
Mathematics and Applications
Type
preprint
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preprint

Sharp Concurrence Bounds for a Reflected-Line Construction

Ziping Guo
Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
preprint

Sharp Concurrence Bounds for a Reflected-Line Construction

Ziping Guo
preprint en

Abstract

A reflected-line construction gives at most three distinct concurrent inputs, and an exact example attains the bound. A quintic coefficient comparison proves the result. A variable construction ratio has a sharp transition between maxima of five and three concurrent inputs.

Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
DOIOpen Access PDFOpenAlex
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Sharp Concurrence Bounds for a Reflected-Line Construction — Ziping Guo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS