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math.CO2026
Transfer Operators and Independence Polynomials for Strong Powers of Circulant Graphs
Todd Hildebrant
We study independent sets in strong powers of circulant graphs using a transfer matrix formulation. The compatibility constraints separate into intra-layer and inter-layer componen…
math.CO2025
Algebraic and Combinatorial Stability of Independence Polynomials in Iterated Strong Products of Cycles
Todd Hildebrant
This paper investigates the independence polynomials arising from iterated strong products of cycle graphs, examining their algebraic symmetries and combinatorial structures. Lever…