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arXiv 1808.04512cs.ITmath.IT
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多播三角半格网络

Multicast Triangular Semilattice Network

Angelina Grosso, Felice Manganiello, Shiwani Varal, Emily Zhu

摘要:

我们调查的结构的代码图的组播网络,具有一个特征形状的倒等边三角形。我们提供了一个标准,确定接收器放置在代码图的有效性,目前的不变性性质的决定因素对应于接收器放置对称下,并提供了一个完整的研究这些网络的接收器和所需的字段大小的网络4个源。我们还改进了与代码图相关的各种定义。

英文摘要:

We investigate the structure of the code graph of a multicast network that has a characteristic shape of an inverted equilateral triangle. We provide a criterion that determines the validity of a receiver placement within the code graph, present invariance properties of the determinants corresponding to receiver placements under symmetries, and provide a complete study of these networks' receivers and required field sizes up to a network of 4 sources. We also improve on various definitions related to code graphs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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