3 papers
math.CO2026
Strong Embeddings of Regular Graphs with Prescribed Automorphism Groups
Reymond Akpanya, Tom Goertzen, Meike Weiß
A classical theorem of Frucht states that every finite group occurs as the automorphism group of a finite graph. We prove an embedded analogue for regular graphs of arbitrary degre…
math.RT2026
Kazhdan-Lusztig Basis and Optimization
Tom Goertzen, Geordie Williamson
We describe a conjectural approach to obtaining canonical bases of the Hecke algebra at via continuous quadratic optimization. We focus on Specht modules and proper con…
math.CO2024
Topologically Interlocking Blocks inside the Tetroctahedrille
Reymond Akpanya, Tom Goertzen, Alice C. Niemeyer
A topological interlocking assembly consists of rigid blocks together with a fixed frame, such that any subset of blocks is kinematically constrained and therefore cannot be remove…