منابع مشابه
Efficient Covering Designs of the Complete Graph
Let H be a graph. We show that there exists n0 = n0(H) such that for every n ≥ n0, there is a covering of the edges of Kn with copies of H where every edge is covered at most twice and any two copies intersect in at most one edge. Furthermore, the covering we obtain is asymptotically optimal.
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Let H be a graph. We show that there exists n 0 = n 0 (H) such that for every n n 0 , there is a covering of the edges of K n with copies of H where every edge is covered at most twice and any two copies intersect in at most one edge. Furthermore, the covering we obtain is asymptotically optimal.
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A decomposition of Kn \L, the complete graph of order n with a subgraph L (called the leave) removed, into edge disjoint copies of a graph G is called a maximum packing of Kn with G if L contains as few edges as possible. A decomposition of Kn U P, the complete graph union a graph P (called the padding), into edge disjoint copies of a graph G is called a minimum covering of Kn with G if P conta...
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We prove a new lower bound on the randomized decision tree complexity of monotone graph properties. For a monotone graph property $A$ of graphs on $n$ vertices, let $p=p(A)$ denote the threshold probability of $A$, namely the value of $p$ for which a random graph from $G(n,p)$ has property $A$ with probability $1/2$. Then the expected number of queries made by any decision tree for $A$ on such ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1989
ISSN: 0012-365X
DOI: 10.1016/0012-365x(89)90088-5