Source location in undirected and directed hypergraphs
نویسنده
چکیده
In this paper we generalize source location problems with edge-connectivity requirements on undirected and directed graphs to similar problems on undirected and directed hypergraphs. In the undirected case we consider an abstract framework which contains the source location for undirected hypergraphs as a special case and which can be solved in polynomial time. For the directed case, the asymmetry of the results we get reflects the asymmetry of the model of directed hypergraph we consider.
منابع مشابه
Directed domination in oriented hypergraphs
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...
متن کاملA note on hypergraph connectivity augmentation
We prove an abstract version of an edge-splitting theorem for directed hypergraphs that appeared in [1], and use this result to obtain min-max theorems on hypergraph augmentation problems that are linked to orientations. These problems include (k, l)-edge-connectivity augmentation of directed hypergraphs, and (k, l)-partition-connectivity augmentation of undirected hypergraphs by uniform hypere...
متن کاملEdge-connection of graphs, digraphs, and hypergraphs
In this work extensions and variations of the notion of edge-connectivity of undirected graphs, directed graphs, and hypergraphs will be considered. We show how classical results concerning orientations and connectivity augmentations may be formulated in this more general setting.
متن کاملOn the testability and repair of hereditary hypergraph properties
Recent works of Alon-Shapira [6] and Rödl-Schacht [30] have demonstrated that every hereditary property of undirected graphs or hypergraphs is testable with one-sided error; informally, this means that if a graph or hypergraph satisfies that property “locally” with sufficiently high probability, then it can be perturbed (or “repaired”) into a graph or hypergraph which satisfies that property “g...
متن کاملEdge-connectivity of undirected and directed hypergraphs
The objective of the thesis is to discuss edge-connectivity and related connectivity conceptsin the context of undirected and directed hypergraphs. In particular, we focus on k-edge-connectivity and (k, l)-partition-connectivity of hypergraphs, and (k, l)-edge-connectivityof directed hypergraphs. A strong emphasis is placed on the role of submodularity in thestructural aspects o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Oper. Res. Lett.
دوره 36 شماره
صفحات -
تاریخ انتشار 2008