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math.CO2026
The Delta Theorem: a dimension bound for faithful orthogonal graph representations
H. Tracy Hall
In 1987 Hiroshi Maehara conjectured that a graph can be represented by vectors considered adjacent when not orthogonal (a faithful orthogonal representation) in codimension the min…
math.CO2017★ 1 cited
Orthogonal representations of Steiner triple system incidence graphs
Louis Deaett, H. Tracy Hall
The Heawood graph is the point-block incidence graph of the Fano plane (the unique Steiner triple system of order 7). We show that the minimum semidefinite rank of this graph is 10…