منابع مشابه
On topological transitive maps on operator algebras
We consider the transitive linear maps on the operator algebra $B(X)$for a separable Banach space $X$. We show if a bounded linear map is norm transitive on $B(X)$,then it must be hypercyclic with strong operator topology. Also we provide a SOT-transitivelinear map without being hypercyclic in the strong operator topology.
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A digraph D is called a quasi-transitive digraph (QTD) if for any triple x, y, z of distinct vertices of D such that (x, y) and (y, z) are arcs of D there is at least one arc from x to z or from z to x. Solving a conjecture by J. Bang-Jensen and J. Huang (J. Graph Theory, to appear), G. Gutin (Australas. J. Combin., to appear) described polynomial algorithms for finding a Hamiltonian cycle and ...
متن کاملCovalence sequences of transitive plane tessellations and transitive maps on surfaces
A covalence sequence of a vertex-transitive map is a cyclic sequence of covalences around a vertex of the map. We explain the algebraic background for a study of the relationship between covalence sequences of maps on compact orientable surfaces and covalence sequences of (infinite) plane tessellations that both exhibit the same ‘level of transitivity’ of automorphism groups on vertices or edges.
متن کاملOn the topology of vertex-transitive graphs
The undirected graphs atoms were introduced independently Mader[21] and Watkins [28] in order to show that the connectivity of a connected undirected vertex-transitive is large. The directed graphs atoms were introduced by Chaty in [3]. The author obtained a structure Theorem for the atoms in the last case [9], showing that the connectivity of a connected vertex-transitive directed is large. Th...
متن کاملon topological transitive maps on operator algebras
we consider the transitive linear maps on the operator algebra $b(x)$for a separable banach space $x$. we show if a bounded linear map is norm transitive on $b(x)$,then it must be hypercyclic with strong operator topology. also we provide a sot-transitivelinear map without being hypercyclic in the strong operator topology.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2020
ISSN: 0012-365X
DOI: 10.1016/j.disc.2020.111911