An identity for the independence polynomials of trees.
An identity generator: basic commutators.
An inductive proof of Whitney's Broken Circuit Theorem
We present a new proof of Whitney's broken circuit theorem based on induction on the number of edges and the deletion-contraction formula.
An inequality related to two integer sequences satisfying an order condition.
An infinite antichain of permutations.
An infinite family of dual sequence identities.
An infinite version of the Pólya enumeration theorem.
An interesting new Mahonian permutation statistic.
An introduction to clobber.
An introduction to finite fibonomial calculus
This is an indicatory presentation of main definitions and theorems of Fibonomial Calculus which is a special case of ψ-extented Rota's finite operator calculus [7].
An introduction to -species.
An invariant sum related to record statistics.
An inverse matrix formula in the right-quantum algebra.
An inversion formula, matrix functions, combinatorial identities and graphs
An involution principle-free bijective proof of Stanley's hook-content formula.
An observation on the extension of Abel's lemma.
An optimal matching problem
Given two measured spaces and , and a third space , given two functions and , we study the problem of finding two maps and such that the images and coincide, and the integral is maximal. We give condition on and for which there is a unique solution.
An optimal matching problem
Given two measured spaces and , and a third space Z, given two functions u(x,z) and v(x,z), we study the problem of finding two maps and such that the images and coincide, and the integral is maximal. We give condition on u and v for which there is a unique solution.
An umbral calculus for polynomials characterizing tensor products.
Analogues of up-down permutations for colored permutations.