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math.CO2024
A Conjecture on Rainbow Hamiltonian Cycle Decomposition
Ramin Javadi, Meysam Miralaei
Wu in 1999 conjectured that if is a subgraph of the complete graph with edges, then there is a Hamiltonian cycle decomposition of such that each edge…
math.CO2024
Bootstrap percolation on the Hamming graphs
Meysam Miralaei, Ali Mohammadian, Behruz Tayfeh-Rezaie
The -edge bootstrap percolation on a graph is an activation process of the edges. The process starts with some initially activated edges and then, in each round, any inactive ed…