857 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Hungarian Academy of SciencesHU402 papers
- Eötvös Loránd UniversityHU156 papers
- Budapest University of Technology and EconomicsHU58 papers
- Central European UniversityAT42 papers
- École Polytechnique Fédérale de LausanneCH31 papers
- Central European University - Budapest Campus24 papers
- University of PannoniaHU23 papers
- Centre National de la Recherche ScientifiqueFR21 papers
- University College LondonGB20 papers
- University of SzegedHU20 papers
- University of Illinois Urbana-ChampaignUS18 papers
- Charles UniversityCZ15 papers
55 papers · 1 filter
On endomorphisms of the Einstein gyrogroup in arbitrary dimension
Péter E. Frenkel
We determine the automorphisms and the continuous endomorphisms of the Einstein gyrogroup in arbitrary dimension. This generalizes a recent result of Lajos Molnár and Dániel Virosz…
Noether bound for invariants in relatively free algebras
M. Domokos, V. Drensky
Let be a weakly noetherian variety of unitary associative algebras (over a field of characteristic 0), i.e., every finitely generated algebra from …
A Combinatorial Problem Related to Sparse Systems of Equations
Peter Horak, Igor Semaev, Zsolt Tuza
Nowadays sparse systems of equations occur frequently in science and engineering. In this contribution we deal with sparse systems common in cryptanalysis. Given a cipher system, o…
A potential theoretic minimax problem on the torus
Bálint Farkas, Béla Nagy, Szilárd Gy. Révész
We investigate an extension of an equilibrium-type result, conjectured by Ambrus, Ball and Erdélyi, and proved recently by Hardin, Kendall and Saff. These results were formulated o…
The concordance invariant tau in link grid homology
Alberto Cavallo
We introduce a generalization of the Ozsváth-Szabó -invariant to links by studying a filtered version of link grid homology. We prove that this invariant remains unchanged under…
Rationality of Hilbert series in noncommutative invariant theory
M. Domokos, V. Drensky
It is a fundamental result in commutative algebra and invariant theory that a finitely generated graded module over a commutative finitely generated graded algebra has rational Hil…
-WORM colorings: Results for 2-connected graphs
Csilla Bujtás, Zsolt Tuza
Given two graphs and , an -WORM coloring of is an assignment of colors to its vertices in such a way that no -subgraph of is monochromatic or rainbow. If h…
Weak Godel's incompleteness property for some decidable versions of first order logic
Mohamed Khaled
The founding of the theory of cylindric algebras, by Alfred Tarski, was a conscious effort to create algebras out of first order predicate calculus. Let . The classes of non…
Chromatic roots and limits of dense graphs
Peter Csikvari, Peter E. Frenkel, Jan Hladky +1
In this short note we observe that recent results of Abert and Hubai and of Csikvari and Frenkel about Benjamini--Schramm continuity of the holomorphic moments of the roots of the…
Weight Balancing on Boundaries
Luis Barba, Otfried Cheong, Michael Gene Dobbins +8
Given a polygonal region containing a target point (which we assume is the origin), it is not hard to see that there are two points on the perimeter that are antipodal, that is, wh…
General normal forms for any additive logic
Mohamed Khaled
In this article, we define general normal forms for any logic that has propositional part and whose non-propositional connectives distribute over the finite disjunctions. We do not…
Explicit upper bound for an average number of divisors of quadratic polynomials
Kostadinka Lapkova
Consider the divisor sum for integers and which satisfy certain extra conditions. For this average sum we obtain an explicit upper bound, which…
A low-energy decomposition theorem
Antal Balog, Trevor D. Wooley
We prove that any finite set of real numbers can be split into two parts, one part being highly non-additive and the other highly non-multiplicative.
Partitioning 2-edge-colored graphs by monochromatic paths and cycles
Jozsef Balogh, Janos Barat, Daniel Gerbner +2
We present results on partitioning the vertices of -edge-colored graphs into monochromatic paths and cycles. We prove asymptotically the two-color case of a conjecture of Sárköz…
Vertex covers by monochromatic pieces - A survey of results and problems
Andras Gyarfas
This survey is devoted to problems and results concerning covering the vertices of edge colored graphs or hypergraphs with monochromatic paths, cycles and other objects. It is an e…
Ramsey number of a connected triangle matching
Andras Gyarfas, Gabor N. Sarkozy
We determine the -color Ramsey number of a {\em connected} triangle matching which is any connected graph containing vertex disjoint triangles. We obtain that $R(c…
Large Cross-free sets in Steiner triple systems
Andras Gyarfas
A {\em cross-free} set of size in a Steiner triple system is three pairwise disjoint -element subsets such that no in…
How many varieties of cylindric algebras
H. Andréka, I. Németi
Cylindric algebras, or concept algebras in another name, form an interface between algebra, geometry and logic; they were invented by Alfred Tarski around 1947. We prove that there…
Dehn surgeries and rational homology balls
Paolo Aceto, Marco Golla
We consider the question of which Dehn surgeries along a given knot bound rational homology balls. We use Ozsváth and Szabó's correction terms in Heegaard Floer homology to obtain…
Computing all possible graph structures describing linearly conjugate realizations of kinetic systems
Bernadett Acs, Gabor Szederkenyi, Zsolt Tuza +1
In this paper an algorithm is given to determine all possible structurally different linearly conjugate realizations of a given kinetic polynomial system. The solution is based on…
Partitioning orthogonal polygons into at most 8-vertex pieces, with application to an art gallery theorem
Ervin Győri, Tamás Róbert Mezei
We prove that every simply connected orthogonal polygon of vertices can be partitioned into (simply connected) orthogonal polygons…
Separation with restricted families of sets
Zsolt Lángi, Márton Naszódi, János Pach +2
Given a finite -element set , a family of subsets is said to separate if any two elements of are separated by at least one member of $\mathc…
Algebraic vertices of non-convex polyhedra
Arseniy Akopyan, Imre Bárány, Sinai Robins
In this article we define an algebraic vertex of a generalized polyhedron and show that it is the smallest set of points needed to define the polyhedron. We prove that the indicato…
Centrally symmetric convex bodies and sections having maximal quermassintegrals
E. Makai, H. Martini
Let , and let be a convex body containing the origin in its interior. In a previous paper we have proved the following. The body is -sym…