Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Tyc, Adam"'
We consider the induced subgraph of the corresponding Grassmann graph formed by $q$-ary simplex codes of dimension $2$, $q\ge 5$. This graph contains precisely two types of maximal cliques. If $q=5$, then for any two maximal cliques of the same type
Externí odkaz:
http://arxiv.org/abs/2402.05848
Autor:
Tyc, Adam
We characterize all permutations which realize as the $z$-monodromies of faces in connected simple finite graphs embedded in surfaces whose duals are also simple.
Externí odkaz:
http://arxiv.org/abs/2308.14123
Autor:
Pankov, Mark, Tyc, Adam
Let $H$ be an infinite-dimensional complex Hilbert space. Denote by ${\mathcal G}_{\infty}(H)$ the Grassmannian formed by closed subspaces of $H$ whose dimension and codimension both are infinite. We say that $X,Y\in {\mathcal G}_{\infty}(H)$ are {\i
Externí odkaz:
http://arxiv.org/abs/2302.01077
Autor:
Tyc, Adam
Zigzags in graphs embedded in surfaces are cyclic sequences of edges whose any two consecutive edges are different, have a common vertex and belong to the same face. We investigate zigzags in randomly constructed combinatorial tetrahedral chains. Eve
Externí odkaz:
http://arxiv.org/abs/2206.09830
Autor:
Tyc, Adam
A triangulation is called $z$-knotted if it has a single zigzag (up to reversing). A $z$-orientation on a triangulation is a minimal collection of zigzags which double covers the set of edges. An edge is of type I if zigzags from the $z$-orientation
Externí odkaz:
http://arxiv.org/abs/2008.08126
Autor:
Tyc, Adam
The main objects of the paper are $z$-oriented triangulations of connected closed $2$-dimensional surfaces. A $z$-orientation of a map is a minimal collection of zigzags which double covers the set of edges. We have two possibilities for an edge -- z
Externí odkaz:
http://arxiv.org/abs/2001.02626
We investigate zigzags in triangulations of connected closed $2$-dimensional surfaces and show that there is a one-to-one correspondence between triangulations with homogeneous zigzags and closed $2$-cell embeddings of directed Eulerian graphs in sur
Externí odkaz:
http://arxiv.org/abs/1902.10788
Autor:
Pankov, Mark, Tyc, Adam
Let $\Gamma$ be a triangulation of a connected closed $2$-dimensional (not necessarily orientable) surface. Using zigzags (closed left-right paths), for every face of $\Gamma$ we define the $z$-monodromy which acts on the oriented edges of this face.
Externí odkaz:
http://arxiv.org/abs/1801.06585
Autor:
Pankov, Mark, Tyc, Adam
A zigzag in a map (a $2$-cell embedding of a connected graph in a connected closed $2$-dimensional surface) is a cyclic sequence of edges satisfying the following conditions: 1) any two consecutive edges lie on the same face and have a common vertex,
Externí odkaz:
http://arxiv.org/abs/1708.04296
Autor:
Pankov, Mark, Tyc, Adam
An embedded graph is called $z$-knotted if it contains the unique zigzag (up to reversing). We consider $z$-knotted triangulations, i.e. $z$-knotted embedded graphs whose faces are triangles, and describe all cases when the connected sum of two $z$-k
Externí odkaz:
http://arxiv.org/abs/1703.07097