Pair-Defensive Silver Colourings of Hypercubes AFKQK866Y1

URI	`m2://res/AFKQK866Y1`
Kind	preprint
Creators	Saman Farhat, Mehrak Shirkhani
Date	2026-09-30
MSC	05-XX
Subjects	arxiv math.CO
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Dimension lift	statement	proposition 3.7	arxiv
$Q_7$ with five colours	example	example 3.6	arxiv
Regular-graph pair bound	statement	theorem 3.2	arxiv
BCKK7R602E	definition	definition 2.1	arxiv
Binary-linear criterion	statement	theorem 3.4	arxiv
A binary-linear pair-defensive colouring of \(Q_5\	example	example 3.5	arxiv
Singleton matching and coherence	statement	proposition 5.2	arxiv
Hall formulation	statement	lemma 2.2	arxiv
Colour-class identity and empty blocks	statement	proposition 4.3	arxiv
Collapse at $r+1$ colours	statement	theorem 2.5	arxiv
The silver endpoint	statement	proposition 2.4	arxiv
Defect congruences	statement	lemma 5.3	arxiv
Local defect	statement	lemma 5.1	arxiv
Equality profile	statement	lemma 4.1	arxiv
Constant-defect reduction	statement	proposition 5.5	arxiv
Odd extremal partition theorem	statement	theorem 4.2	arxiv
Pair bound	statement	corollary 3.3	arxiv
Conflict-graph formulation	statement	corollary 4.4	arxiv
Local normal form	statement	corollary 5.4	arxiv
XSB956W3SE	statement	proposition 3.1	arxiv
Four dyadic families	statement	theorem 3.8	arxiv
Connected-square reduction	statement	lemma 2.3	arxiv