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Eigenvalues of neutral networks: Interpolating between hypercubes

TRT. ReevesRFR. FarrJBJ. BlundellAGA. GallagherTFT. Fink Discrete Mathematics

Eigenvalues of neutral networks: Interpolating between hypercubes

The first 16 ‘‘bricklayer’s graphs’’ and the principal eigenvalue of their adjacency matrices.

Subcritical U-Bootstrap percolation models have non-trivial phase transitions

BBB. BollobasMPM. PrzykuckiPSP. SmithPB Transactions of the American Mathematical Society

Subcritical U-Bootstrap percolation models have non-trivial phase transitions

Our results re-open the study of critical probabilities in bootstrap percolation on infinite lattices.

Maximum percolation time in two-dimensional bootstrap percolation

MPM. PrzykuckiFB SIAM Journal on Discrete Mathematics

Maximum percolation time in two-dimensional bootstrap percolation

What is the maximum percolation time in a two-dimensional grid?