489 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Netherlands Institute for Radio AstronomyNL23 papers
- Belarusian State UniversityBY14 papers
- Leibniz Institute for Astrophysics PotsdamDE14 papers
- Polish Academy of SciencesPL14 papers
- Thüringer Landessternwarte TautenburgDE14 papers
- University of ManchesterGB14 papers
- University of WarsawPL14 papers
- Leiden UniversityNL13 papers
- Centre National de la Recherche ScientifiqueFR12 papers
- Radboud University NijmegenNL12 papers
- Rutherford Appleton LaboratoryGB12 papers
- Bielefeld UniversityDE11 papers
18 papers · 1 filter
Recurrence and transience for non-Archimedean and directed graphs
Matthias Keller, Anna Muranova
We introduce the notion of recurrence and transience for graphs over non-Archimedean ordered field. To do so we relate these graphs to random walks of directed graphs over the real…
On the Grassmann Graph of Linear Codes
Ilaria Cardinali, Luca Giuzzi, Mariusz Kwiatkowski
Let be the Grassmann graph formed by the -dimensional subspaces of a vector space of dimension over a field and, for , l…
The effective impedances of infinite ladder networks and Dirichlet problem on graphs
Anna Muranova
We calculate effective impedances of infinite - and - ladder networks as limits of effective impedances of finite network approximations, using a new method, which involves…
Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules
Metod Saniga, Edyta Bartnicka
It is shown that there exists a particular associative ring with unity of order 16 such that the relations between nonunimodular free cyclic submodules of its two-dimensional free…
On two types of -monodromy in triangulations of surfaces
Mark Pankov, Adam Tyc
Let be a triangulation of a connected closed -dimensional (not necessarily orientable) surface. Using zigzags (closed left-right paths), for every face of we define the…
Connected sums of -knotted triangulations
Mark Pankov, Adam Tyc
An embedded graph is called -knotted if it contains the unique zigzag (up to reversing). We consider -knotted triangulations, i.e. -knotted embedded graphs whose faces are…
Apartments preserving transformations of Grassmannians of infinite-dimensional vector spaces
Mark Pankov
We define the Grassmannians of an infinite-dimensional vector space as the orbits of the action of the general linear group on the set of all subspaces. Let ${\ma…
Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables
Adam Doliwa
We introduce a coloured generalization of the Hopf algebra of non-commutative symmetric functions described as a subalgebra of the of rooted ordered coloured tree…
Orthogonal apartments in Hilbert Grassmannians
Mark Pankov
Let be an infinite-dimensional complex Hilbert space and let be the logic formed by all closed subspaces of . For every natural we denote by ${\mathcal…
On the distance between linear codes
Mariusz Kwiatkowski, Mark Pankov
Let be an -dimensional vector space over the finite field consisting of elements and let be the Grassmann graph formed by -dimensional subspaces of , $1…
Isometric embeddings of polar Grassmannians and metric characterizations of their apartments
Mariusz Kwiatkowski, Mark Pankov
We describe isometric embeddings of polar Grassmann graphs formed by non-maximal singular subspaces. In almost all cases, they are induced by collinearity preserving injections of…
The Shortest Path Problem for the Distant Graph of the Projective Line Over the Ring of Integers
Andrzej Matraś, Artur Siemaszko
The distant graph of the projective line over the ring of integers is considered. The shortest path problem in this graph is solved by use of Klein…
Characterization of apartments in polar Grassmannians
Mark Pankov
Buildings of types and are defined by rank polar spaces. The associated building Grassmannians are polar and half-spin Grassmannians. Apartments i…
Isometric embeddings of half-cube graphs in half-spin Grassmannians
Mark Pankov
Let be a polar space of type . Denote by , the associated half-spin Grassmannians and write for the corresponding hal…
Metric characterization of apartments in dual polar spaces
Mark Pankov
Let be a polar space of rank and let , be the polar Grassmannian formed by -dimensional singular subspaces of . The corres…
Isometric embeddings of Johnson graphs in Grassmann graphs
Mark Pankov
Let be an -dimensional vector space () and let be the Grassmannian formed by all -dimensional subspaces of . The corresponding Gr…
Base subsets of polar Grassmannians
Mark Pankov
Let be a thick building of type . Let also be the Grassmannian of -dimensional singular subspaces of the assoc…
Base subsets of symplectic Grassmannians
Mark Pankov
Let and be -dimensional vector spaces over fields and . Let also and be non-degenerate symplectic forms. Denote by…