منابع مشابه
Directed Moore Hypergraphs
For graphs with maximum degree A and diameter D, an upper bound on the number of vertices is 1 + AxF:-,‘(A 1)‘. This bound is called the Moore bound for graphs and the graphs that attain it are called Moore graphs. Similar bounds for directed graphs and for hypergraphs have been defined and the existence of directed Moore graphs and of Moore hypergraphs has been studied. In this article, we def...
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ErdH{o}s [On Sch"utte problem, Math. Gaz. 47 (1963)] proved that every tournament on $n$ vertices has a directed dominating set of at most $log (n+1)$ vertices, where $log$ is the logarithm to base $2$. He also showed that there is a tournament on $n$ vertices with no directed domination set of cardinality less than $log n - 2 log log n + 1$. This notion of directed domination number has been g...
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متن کاملLine Directed Hypergraphs
In this article we generalize the concept of line digraphs to line dihypergraphs. We give some general properties in particular concerning connectivity parameters of dihypergraphs and their line dihypergraphs, like the fact that the arc connectivity of a line dihypergraph is greater than or equal to that of the original dihypergraph. Then we show that the De Bruijn and Kautz dihypergraphs (whic...
متن کاملEulerian and Hamiltonian Directed Hypergraphs
Let H = (V ,E) be a directed hypergraph, also called a dihypergraph. Each vertex v ∈ V is incident to some hyperarcs in E . Conversely, each hyperarc E ∈ E is incident to some vertices in V . H is Eulerian if there is a dicycle C such that each hyperarc E ∈ E appears exactly once in C. Similarly, H is Hamiltonian if there is a dicycle C ′ such that every vertex v ∈ V appears exactly once in C ....
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1995
ISSN: 0166-218X
DOI: 10.1016/0166-218x(94)00069-p