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math.CO2017★ 1 cited
Weighted Lattice Paths Enumeration by Gaussian Polynomials
Ivica Martinjak, Ivana Zubac
The Gaussian polynomial in variable is defined as the -analog of the binomial coefficient. In addition to remarkable implications of these polynomials to abstract algebra, m…
math.CO2017
Lah numbers and Lindström's lemma
Ivica Martinjak, Riste Škrekovski
We provide a combinatorial interpretation of Lah numbers by means of planar networks. Henceforth, as a conesquence of Lindström's lemma, we conclude that the related Lah matrix pos…
math.CO2017
A Short Combinatorial Proof of Derangement Identity
Ivica Martinjak, Dajana Stanić
The -th rencontres number with the parameter is the number of permutations having exactly fixed points. In particular, a derangement is a permutation without any fixed p…