Maximal t-Critical Linear Hypergraphs
نویسنده
چکیده
A construction using finite affine geometries is given to show that the maximum number of edges in a τ -critical linear hypergraph is (1−o(1))τ2. This asymptotically answers a question of Roudneff [14], Aharoni and Ziv [1]. 1 This copy was printed on November 16, 2001. Submitted to Graphs and Combinatorics
منابع مشابه
On Computing a Maximal Independent Set in Hypergraph in Parallel
An outstanding open question in the theory of parallel computation is whether a maximal independent set (MIS) in a given hypergraph, can be computed in NC or RNC. One major bottleneck seems to be controlling the dimension of the hypergraph, i.e. the maximum dimension of a hyperedge. In the case of graphs (dimension 2 hypergraphs), Karp and Wigderson’85 gave the first NC algorithm. In the case o...
متن کاملON THE NORMALITY OF t-CAYLEY HYPERGRAPHS OF ABELIAN GROUPS
A t-Cayley hypergraph X = t-Cay(G; S) is called normal for a finite group G, if the right regular representationR(G) of G is normal in the full automorphism group Aut(X) of X. In this paper, we investigate the normality of t-Cayley hypergraphs of abelian groups, where S < 4.
متن کاملGenerating Dual - Bounded Hypergraphs 1 by
This paper surveys some recent results on the generation of implicitly given hypergraphs and their applications in Boolean and integer programming, data mining, reliability theory, and combinatorics. Given a monotone property π over the subsets of a finite set V , we consider the problem of incrementally generating the family Fπ of all minimal subsets satisfying property π, when π is given by a...
متن کاملAn Incremental RNC Algorithm for Generating All Maximal Independent Sets in Hypergraphs of Bounded Dimension∗
We show that for hypergraphs of bounded edge size, the problem of extending a given list of maximal independent sets is NC-reducible to the computation of an arbitrary maximal independent set for an induced sub-hypergraph. The latter problem is known to be in RNC. In particular, our reduction yields an incremental RNC dualization algorithm for hypergraphs of bounded edge size, a problem previou...
متن کاملAn Efficient Incremental Algorithm for Generating All Maximal Independent Sets in Hypergraphs of Bounded Dimension
We show that for hypergraphs of bounded edge size, the problem of extending a given list of maximal independent sets is NC-reducible to the computation of an arbitrary maximal independent set for an induced sub-hypergraph. The latter problem is known to be in RNC. In particular, our reduction yields an incremental RNC dualization algorithm for hypergraphs of bounded edge size, a problem previou...
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:
- Graphs and Combinatorics
دوره 17 شماره
صفحات -
تاریخ انتشار 2001