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math.GT2024
Average signature and 4-genus of 2-bridge knots
Moshe Cohen, Adam M. Lowrance, Neal Madras +1
We show that the average or expected absolute value of the signatures of all 2-bridge knots with crossing number approaches . Baader, Kjuchukova, Lewark, Misev,…
math.CO2024
A Nordhaus--Gaddum problem for the spectral gap of a graph
Sooyeong Kim, Neal Madras
Let be a graph on vertices, with complement . The spectral gap of the transition probability matrix of a random walk on is used to estimate how fast the r…