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math.CO2020
Hamiltonian properties in generalized lexicographic products
Jan Ekstein, Jakub Teska
The lexicographic product of two graphs and is obtained from by replacing each vertex with a copy of and adding all edges between any pair of copies correspo…
math.CO2020
Trestles in the squares of graphs
Adam Kabela, Jakub Teska
We show that the square of every connected -free graph satisfying a matching condition has a -connected spanning subgraph of maximum degree at most~. Furthermore,…