75 citations · 100 across the 12 of their papers we have counts for
12 papers
Overview of some general results in combinatorial enumeration
Martin Klazar
This survey article is devoted to general results in combinatorial enumeration. The first part surveys results on growth of hereditary properties of combinatorial structures. These…
Generalizations of Khovanskii's theorems on growth of sumsets in abelian semigroups
Vit Jelinek, Martin Klazar
We show that if is a lattice polytope in the nonnegative orthant of and is a coloring of the lattice points in the orthant such that the color depends only…
On growth rates of permutations, set partitions, ordered graphs and other objects
Martin Klazar
For classes O of structures on finite linear orders (permutations, ordered graphs etc.) endowed with containment order cont (containment of permutations, subgraph relation etc.), w…
Extensions of the linear bound in the Furedi-Hajnal conjecture
Martin Klazar, Adam Marcus
We present two extensions of the linear bound, due to Marcus and Tardos, on the number of 1's in an n by n 0-1 matrix avoiding a fixed permutation matrix. We first extend the linea…
On the maximal order of numbers in the "factorisatio numerorum" problem
Martin Klazar, Florian Luca
Let m(n) be the number of ordered factorizations of n in factors larger than 1. We prove that for every eps>0 n^{rho} m(n) < exp[(log n)^{1/rho}/(loglog n)^{1+eps}] holds for all i…
On identities concerning the numbers of crossings and nestings of two edges in matchings
Martin Klazar
Let M,N be two matchings on [2n]={1, 2, ..., 2n} (possibly M=N) and for a nonnegative integer l let T(M,l) be the set of those matchings on [2n+2l] which can be obtained from M by…