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math.CO2026
Wei duality, Fomin-Greene duality and demimatroids
Thomas Britz
The Fomin-Greene Duality Theorem for finite posets and Wei's Duality Theorem for demimatroids each relate sets of extremal invariants via seemingly similar dualities. This paper de…
math.CO2026
Reducible Iterated Graph Systems: multiscale-freeness and multifractals
Nero Ziyu Li, Frank Xin Hu, Thomas Britz
Iterated Graph Systems (IGS) transplant ideas from fractal geometry into graph theory. Building on this framework, we extend Edge IGS from the primitive to the reducible setting. W…
math.CO2025
Harmonic higher and extended weight enumerators
Thomas Britz, Himadri Shekhar Chakraborty, Tsuyoshi Miezaki
In this paper, we present the harmonic generalizations of well-known polynomials of codes over finite fields, namely the higher weight enumerators and the extended weight enumerato…