Gary R. W. Greaves

activity

20112026

most citedEquiangular lines in Euclidean spaces

96 citations · 298 across the 25 of their papers we have counts for

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Showing 2026Show all

3 papers · 1 filter

math.CO2026

A proof of Haemers' toughness conjecture

Gary Greaves, Haoran Zhu

We prove that if $Γ$ is a connected graph with minimum degree $δ$ and Laplacian eigenvalues $0 = μ_{1} < μ_{2} ⩽ \dots ⩽ μ_{n}$ , then the toughness of $Γ$ is bounded below by…

math.PR2026

Spectral gap of biased adjacent-transposition chains

Gary R. W. Greaves, Haoran Zhu

We establish a sharp lower bound on the spectral gap of the biased adjacent-transposition Markov chain on the symmetric group. As a consequence, we resolve a longstanding conjectur…

math.CO2026

Aldous property for full-flag Johnson graphs

Gary Greaves, Haoran Zhu

We show that the full-flag Johnson graph has spectral gap equal to that of its Schreier quotient arising from the point-stabiliser equitable partition. Our results confirm two conj…