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arXiv 1503.07199physics.soc-phcs.SI
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再论网络科学中的区间图

Revisiting Interval Graphs for Network Science

Chuan Wen Loe, Henrik Jeldtoft Jensen

摘要:

区间图的顶点表示一条实线上的区间,其中重叠的区间表示它们对应的顶点是相邻的。这意味着系统的顶点是可度量的,并且系统中存在线性结构。推广是一个图嵌入到多维欧氏空间,它被科学家用来研究生态学的多关系复杂性。然而,这项研究在20世纪80年代就过时了,当网络科学最近表示对称为多路复用的多关系网络感兴趣时,这项研究就没有再被关注。本文从网络科学的角度研究区间图。

英文摘要:

The vertices of an interval graph represent intervals over a real line where overlapping intervals denote that their corresponding vertices are adjacent. This implies that the vertices are measurable by a metric and there exists a linear structure in the system. The generalization is an embedding of a graph onto a multi-dimensional Euclidean space and it was used by scientists to study the multi-relational complexity of ecology. However the research went out of fashion in the 1980s and was not revisited when Network Science recently expressed interests with multi-relational networks known as multiplexes. This paper studies interval graphs from the perspective of Network Science.

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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