We study the extremal parameter N(n, m, H) which is the largest number of copies of a hypergraph H that can be formed of at most n vertices and m edges. Generalizing previous work...
An important task in the theory of hypercubes is to establish the maximum integer fn such that for every set F of f vertices in the hypercube Qn, with 0 ≤ f ≤ fn, there exists ...
In this paper, we construct a dz-disjunct matrix with the orthogonal spaces over finite fields of odd characteristic. We consider the arrangement problem of d (m−1,2(s −1),s ...
The relative worst order ratio is a measure for the quality of online algorithms. Unlike the competitive ratio, it compares algorithms directly without involving an optimal offline...
We study minimum-cost sensor placement on a bounded 3D sensing field, R, which comprises a number of discrete points that may or may not be grid points. Suppose we have types of se...