The coefficient of the acyclic chromatic index

Upper bound, last-listed row

|3.142|[KLS2026]||tracked since 2026-07-24 — no movement seen yet

Lower bound, last-listed row

| 1 | Trivial | conjectured to be sharp |tracked since 2026-07-24 — no movement seen yet

Checked against material for its cited source

• Another row, not one shown above: bound row 3.74 line 19 citing [GKPT2017] — the claim we checked: that the cited reference gives the upper bound this row lists, 3.74 (the row's comment is empty, so the value is the whole claim). What we read supports it: the correction gives an acyclic edge colouring with at most ⌈3.74(Δ−1)⌉+1 colours, so the coefficient is at most 3.74. source link (read in the arXiv correction the entry cites, version 9 (7 Jan 2018): the abstract and Theorem 2 on p. 14, from page images; the journal edition (Theoretical Computer Science 665) was not reached, as ScienceDirect answered with a bot challenge). Selected: drawn by its position in the list of cited rows, not because it looked wrong.
• Another row, not one shown above: bound row 4- line 20 citing [GKZ2018] — the claim we checked: what bound the cited 2018 abstract states, and whether the row's cell '4-' is a faithful rendering of it. What we read supports '4-' only as 'some coefficient strictly below 4, value not stated', and supports no particular number. source link (read in full: the cited abstract, p. 22 of the conference's Book of Abstracts (the PDF the cited program page links), read from the page image. It announces a coefficient below 4 and states no value and no proof). Selected: drawn by its position in the list of cited rows, not because it looked wrong.

2 bound row(s) here have been checked against material for their cited source (2 drawn by position, 0 chosen because something already looked wrong). Across this whole ledger 70 row(s) have been drawn by position, against 691 rows that name a source, counted on 2026-09-27: 64 were checked against material for their cited sources and for 6 the cited source could not be read at all. 5 more were chosen for suspicion and checked; they are counted apart, because a set selected for suspicion carries no rate. A row not listed here has NOT been checked.