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math.CO2026
Graphon Colourings and Limits of Graph Partitions
Svante Janson, Tiffany Y. Y. Lo, Colin McDiarmid +2
We develop a framework for pure and mixed graphon colourings and use it to study the limiting behaviour of graph partition parameters under cut convergence. Pure colourings corresp…
math.CO2025
Effective Resistance in Simplicial Complexes as Bilinear Forms: Generalizations and Properties
Inés García-Redondo, Claudia Landi, Sarah Percival +3
The concept of effective resistance, originally introduced in electrical circuit theory, has been extended to the setting of graphs by interpreting each edge as a resistor. In this…