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math.AG2013
A proof of the birationality of certain BHK-mirrors
Patrick Clarke
We generalize and give an elementary proof of Kelly's refinement of Shoemaker's result on the birationality of certain BHK-mirrors. Our approach uses a construction that is equival…
math.CO2013
Cyclic Subsets and Barnette's Conjecture
P. Clarke
In this paper, the concept of cyclic subsets in graph theory is introduced. An interesting theorem which relates to the collective Hamiltonicity of these cyclic subsets in graphs i…