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math.CO2023★ 1 cited
Composition schemes: q-enumerations and phase transitions
Cyril Banderier, Markus Kuba, Stephan Wagner +1
Composition schemes are ubiquitous in combinatorics, statistical mechanics and probability theory. We give a unifying explanation to various phenomena observed in the combinatorial…
math.CO2023
Bounding mean orders of sub--trees of -trees
Stijn Cambie, Bradley McCoy, Stephan Wagner +1
For a -tree , we prove that the maximum local mean order is attained in a -clique of degree and that it is not more than twice the global mean order. We also bound the…