1 citations · 1 across the 3 of their papers we have counts for
3 papers
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.CO2023
Spectral arbitrariness for trees fails spectacularly
Shaun M. Fallat, H. Tracy Hall, Rupert H. Levene +4
If is a graph and is an ordered multiplicity list which is realizable by at least one symmetric matrix with graph , what can we say about the eigenvalues of all…
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…