3 papers
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…
cs.LG2023
Diffusion Maps for Signal Filtering in Graph Learning
Todd Hildebrant
This paper explores the application diffusion maps as graph shift operators in understanding the underlying geometry of graph signals. The study evaluates the improvements in graph…