A combinatorial interpretation for an identity of Barrucand.
A combinatorial interpretation for certain relatives of the Conolly sequence.
A combinatorial interpretation for the coefficients in the Kronecker product .
A combinatorial interpretation of homotopy groups of polyhedra
A combinatorial interpretation of the area of Schröder paths.
A combinatorial interpretation of the eigensequence for composition.
A combinatorial interpretation of the numbers .
A Combinatorial Lemma.
A combinatorial problem connected with differential equations II
A combinatorial proof of a formula for Betti numbers of a stacked polytope.
A combinatorial proof of a partition identity of Andrews and Stanley.
A combinatorial proof of a result for permutation pairs
In this paper, a direct combinatorial proof is given of a result on permutation pairs originally due to Carlitz, Scoville, and Vaughan and later extended. It concerns showing that the series expansion of the reciprocal of a certain multiply exponential generating function has positive integer coefficients. The arguments may then be applied to related problems, one of which concerns the reciprocal of the exponential series for Fibonacci numbers.
A combinatorial proof of a result from number theory.
A combinatorial proof of a symmetric -Pfaff-Saalschütz identity.
A combinatorial proof of Andrews' smallest parts partition function.
A combinatorial proof of Louck's conjecture.
A combinatorial proof of Postnikov's identity and a generalized enumeration of labeled trees.
A combinatorial proof of Sun's “curious” identity.
A Combinatorial Proof of the Existence of the Generic Hecke Algebra and R-Polynomials.
A combinatorial proof of the extension property for partial isometries
We present a short and self-contained proof of the extension property for partial isometries of the class of all finite metric spaces.