What is the dimension of citation space?

被引：18

作者：

Clough, James R. ^{[1
]}

Evans, Tim S. ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Ctr Complex Sci, South Kensington Campus, London SW7 2AZ, England

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 448卷

基金：

英国工程与自然科学研究理事会;

关键词：

Citation network; Directed acyclic graph; Minkowski space; Dimension; Causal set; Network geometry; NETWORKS; UNIVERSALITY; TOPOLOGY; MODEL; TIME;

D O I：

10.1016/j.physa.2015.12.053

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Citation networks represent the flow of information between agents. They are constrained in time and so form directed acyclic graphs which have a causal structure. Here we provide novel quantitative methods to characterise that structure by adapting methods used in the causal set approach to quantum gravity by considering the networks to be embedded in a Minkowski spacetime and measuring its dimension using Myrheim Meyer and Midpoint-scaling estimates. We illustrate these methods on citation networks from the arXiv, supreme court judgements from the USA, and patents and find that otherwise similar citation networks have measurably different dimensions. We suggest that these differences can be interpreted in terms of the level of diversity or narrowness in citation behaviour. (C) 2016 Published by Elsevier B.V.

引用

页码：235 / 247

页数：13

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