David Betzer

Sandpile Groups of Cayley Graphs over 𝔽₂ʳ: Sylow-2 Structure, Isospectral Counterexamples, and Boolean Incidence Algebra

This paper determines new 2-primary sandpile invariants for Cayley multigraphs of the elementary abelian 2-group 𝔽₂ʳ and develops the Boolean incidence-algebra machinery underlying their computation. For the n-dimensional hypercube Qₙ, the paper determines the first previously un...

Sandpile Groups of Cayley Graphs over 𝔽₂ʳ: Sylow-2 Structure, Isospectral Counterexamples, and Boolean Incidence Algebra

This paper determines new 2-primary sandpile invariants for Cayley multigraphs of the elementary abelian 2-group 𝔽₂ʳ and develops the Boolean incidence-algebra machinery underlying their computation. For the n-dimensional hypercube Qₙ, the paper determines the first previously un...