67 citations · 524 across the 58 of their papers we have counts for
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math.CO2022★ 1 cited
Towards the Erdős-Gallai Cycle Decomposition Conjecture
Matija Bucić, Richard Montgomery
In the 1960's, Erdős and Gallai conjectured that the edges of any -vertex graph can be decomposed into cycles and edges. We improve upon the previous best bound of $O(n\l…
math.DS2022★ 1 cited
Dropping Bodies
Richard Montgomery
The subject is brake orbits for the 3-body problem: orbits where all velocities are zero at some instant. We extract a paradox and a mystery out of a recent database of 30 non-coll…
math.CO2022
Trees with many leaves in tournaments
Alistair Benford, Richard Montgomery
Sumner's universal tournament conjecture states that every -vertex tournament should contain a copy of every -vertex oriented tree. If we know the number of leaves of an…