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math.CO2025
Harmonic Morphisms of Arithmetical Structures on Graphs
Kassie Archer, Caroline Melles
Let be a harmonic morphism of connected graphs. We show that an arithmetical structure on can be pulled back via to an arithmetical structur…
math.CO2019
On p-ary Bent Functions and Strongly Regular Graphs
Caroline Grant Melles, David Joyner
Our main result is a generalized Dillon-type theorem, giving graph-theoretic conditions which guarantee that a -ary function in an even number of variables is bent, for a pr…