Sharp tolerance redistribution for ternary Boolean compression capacity

Sharp change laws are derived for the least observable total cost forcing a specified compression error in nonnegative ternary Boolean responses of treewidth at most two. A prescribed tolerance total gives a five-piece modulus as a supremum over the unchanged common observable floor, with positive rational attainment below half the total and limiting sharpness from half the total onward, at floor zero. A second law covers a conserved but freely chosen total, coordinate-change caps and floor changes. A shared-domain bridge links compact and published fixed-profile capacity formulas. The results retain conditional candidate status under the named capacity, graph-realization and distance premises.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23654156
Primary Topic
Advanced Graph Theory Research
Type
preprint
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preprint

Sharp tolerance redistribution for ternary Boolean compression capacity

Robert Barritz
1 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Graph Theory Research
preprint

Sharp tolerance redistribution for ternary Boolean compression capacity

Robert Barritz
preprint en

Abstract

Sharp change laws are derived for the least observable total cost forcing a specified compression error in nonnegative ternary Boolean responses of treewidth at most two. A prescribed tolerance total gives a five-piece modulus as a supremum over the unchanged common observable floor, with positive rational attainment below half the total and limiting sharpness from half the total onward, at floor zero. A second law covers a conserved but freely chosen total, coordinate-change caps and floor changes. A shared-domain bridge links compact and published fixed-profile capacity formulas. The results retain conditional candidate status under the named capacity, graph-realization and distance premises.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Graph Theory Research
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Sharp tolerance redistribution for ternary Boolean compression capacity — Robert Barritz · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS