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math.CO2025
Mader's Conjecture and Its Variants for Cographs
Toru Hasunuma
The class of cographs is one of the most well-known graph classes, which is also known to be equivalent to the class of -free graphs. We show that Mader's conjecture is true i…
math.CO2022
Completely Independent Spanning Trees in Line Graphs
Toru Hasunuma
Completely independent spanning trees in a graph are spanning trees of such that for any two distinct vertices of , the paths between them in the spanning trees are pair…