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math.CO2024
List strong and list normal edge-coloring of (sub)cubic graphs
Borut Lužar, Edita Máčajová, Roman Soták +1
A strong edge-coloring of a graph is a proper edge-coloring, in which the edges of every path of length 3 receive distinct colors; in other words, every pair of edges at distance a…
math.CO2024
Degree-balanced decompositions of cubic graphs
Borut Lužar, Jakub Przybyło, Roman Soták
We show that every cubic graph on vertices contains a spanning subgraph in which the number of vertices of each degree deviates from by at most , up…