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math.CO2026
Removable trees and matchings in -connected and -edge-connected graphs
Adam D. W. Clay, Tibor Jordán
T. Hasunuma (J. Graph Theory, 2023) conjectured that if is a -connected (resp. -edge-connected) graph with minimum degree , and is a tree of order…
math.GT2026
A combinatorial approach to obstructing left-orderability of Dehn fillings
Adam Clay, Junyu Lu, Tjay Staruch
We introduce the conjugate-slope property of knots, a variant of Nie's Property (D), which can be used to study non-left-orderability of fundamental groups arising from Dehn fillin…