5 papers
A central limit theorem for the signatures of 2-bridge knots
Cody Baker, Moshe Cohen, Henry Dam +4
Cohen, Lowrance, Madras, and Raanes computed the average (absolute value of) signature over all 2-bridge knots with crossing number by introducing the number of 2-brid…
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,…
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…
Bounds on Kemeny's constant of a graph and the Nordhaus-Gaddum problem
Sooyeong Kim, Neal Madras, Ada Chan +3
We study Nordhaus-Gaddum problems for Kemeny's constant of a connected graph . We prove bounds on and the pro…
Kemeny's constant and enumerating Braess edges in trees
Jihyeug Jang, Mark Kempton, Sooyeong Kim +3
We study the problem of enumerating Braess edges for Kemeny's constant in trees. We obtain bounds and asympotic results for the number of Braess edges in some families of trees.