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math.CO2022
A refinement on the structure of vertex-critical (, gem)-free graphs
Ben Cameron, Chính T. Hoàng
We give a new, stronger proof that there are only finitely many -vertex-critical (,~gem)-free graphs for all . Our proof further refines the structure of these graphs an…
cs.DS2022
Pivot Gray Codes for the Spanning Trees of a Graph ft. the Fan
Ben Cameron, Aaron Grubb, Joe Sawada
We consider the problem of listing all spanning trees of a graph such that successive trees differ by pivoting a single edge around a vertex. Such a listing is called a "pivot…