M. Farnik

activity

20132026

most citedIonization of Ammonia Nanoices With Adsorbed Methanol Molecules

11 citations · 12 across the 8 of their papers we have counts for

collaborators

9 papers

physics.atm-clus2026

Reflections on future problems in cluster science

K. Hansen, V. V. Kresin, R. Alhyder +22

This article is a collection of contributions from speakers at the 2025 DEAMN [Dynamics of Electrons in Atomic and Molecular Nanoclusters] workshop at the Majorana Centre in Erice.…

math.AG2022

Generic symmetry defect set of an algebraic curve

L. R. G. Dias, M. Farnik, Z. Jelonek

Let $X \subset C^{2 n}$ be an $n$ -dimensional algebraic variety. We define the algebraic version of the generic symmetry defect set (Wigner caustic) of $X$ . Moreover, we co…

math.AG2020

On stable polynomial mappings

Michał Farnik, Zbigniew Jelonek

For given natural numbers $d_{1}, d_{2}$ let $Ω_{2} (d_{1}, d_{2})$ be the set off all polynomial mappings $F = (f, g) : C^{2} \to C^{2}$ such that deg $f \leq d_{1}$ , deg $g \leq d_{2}$ . We say…

math.CO2019

Hat chromatic number of graphs

Bartłomiej Bosek, Andrzej Dudek, Michał Farnik +2

We study the hat chromatic number of a graph defined in the following way: there is one player at each vertex of a loopless graph $G$ , an adversary places a hat of one of $K$ color…

physics.atm-clus2018★ 11 cited

Ionization of Ammonia Nanoices With Adsorbed Methanol Molecules

Michal Fárník, Andriy Pysanenko, Kamila Moriová +4

Large ammonia clusters represent a model system of ices which are omnipresent throughout the space. The interaction of ammonia ices with other hydrogen-boding molecules such as met…

math.AG2018

On quadratic polynomial mappings from the plane into the $n$ dimensional space

Michał Farnik, Zbigniew Jelonek, Piotr Migus

We show that, up to linear equivalence, there are only finitely many polynomial quadratic mappings $F : C^{2} \to C^{n}$ and $F : R^{2} \to R^{n}$ . We list all…

math.CV2016

On quadratic polynomial mappings $f : C^{2} \to C^{2}$

M. Farnik, Z. Jelonek

We show that up to linear equivalence, there is only finitely many polynomial quadratic mappings $f : C^{2} \to C^{2}$ and $f : R^{2} \to R^{2} .$ We list all possibilities.

math.AG2016★ 1 cited

Newton-Okounkov bodies sprouting on the valuative tree

C. Ciliberto, M. Farnik, A. Küronya +3

Given a smooth projective algebraic surface X, a point O in X and a big divisor D on X, we consider the set of all Newton-Okounkov bodies of D with respect to valuations of the fie…

cs.DS2013

Beyond the Shannon's Bound

Michał Farnik, Łukasz Kowalik, Arkadiusz Socała

Let $G = (V, E)$ be a multigraph of maximum degree $Δ$ . The edges of $G$ can be colored with at most $\frac{3}{2} Δ$ colors by Shannon's theorem. We study lower bounds on the size of s…