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Let $\mathcal{F}$ be a set system over an underlying finite set $X$, and let $\mu$ be a nonnegative measure over $X$; i.e., for every $S \subseteq X$, $\mu(S)=\sum_{x\in S} \mu(x)$. A measure $\mu^*$ on $X$ is called a multiplicative ${\lambda}$-...
Facilitated by the development of virtual machine (VM) technology, distributed computing and high-speed internet, cloud computing has been gradually adopted in industry and in education to deliver on-demand services and applications remotely. In this ...
Given positive integers k, $$\ell $$ℓ and $$\lambda $$__ __ such that $$2\leqslant \ell \leqslant k-1$$2__ __ℓ__ __k-1, an $$(n,k,\ell ,\lambda )$$(n,k,ℓ,__ __)-hypergraph $$\mathcal {H}$$H is a k-uniform hypergraph on the vertex set [n] in which every ...
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