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math.CO2010★ 13 cited
The number of maximum matchings in a tree
Clemens Heuberger, Stephan Wagner
We determine upper and lower bounds for the number of maximum matchings (i.e., matchings of maximum cardinality) of a tree of given order. While the trees that attain th…
math.NT2010★ 10 cited
Analysis of Width- Non-Adjacent Forms to Imaginary Quadratic Bases
Clemens Heuberger, Daniel Krenn
We consider digital expansions to the base of , where is an algebraic integer. For a , the set of admissible digits consists of 0 and one representative of every r…