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| == 历史 == | | == 历史 == |
| 虽然网络和图形长期以来一直是数学、物理学、数学社会学、计算机科学等许多研究的主题,但在 1970 年代,空间网络在定量地理学中也得到了深入研究。地理学研究的对象主要是个人的位置、活动和流动,但也包括时间和空间演变的网络。<ref name="NetAnal">P. Haggett and R.J. Chorley. ''Network analysis in geog-'' raphy''. Edward Arnold, London, 1969.''</ref>大多数重要问题,如网络节点的位置、交通网络的演变及其与人口和活动密度的相互作用,都在这些早期的研究中得到解决。另一方面,许多重要点仍然不清楚,部分原因是当时缺乏大型网络的数据集和更大的计算机能力。最近,空间网络已成为统计学研究的主题,将概率和随机过程与现实世界中的网络联系起来。<ref name="David">{{Cite web|url=http://www.stat.berkeley.edu/~aldous/206-SNET/index.html|title=Spatial Networks|access-date=2014-01-10|archive-date=2014-01-10|archive-url=https://web.archive.org/web/20140110202716/http://www.stat.berkeley.edu/~aldous/206-SNET/index.html|url-status=live}}</ref> | | 虽然网络和图形长期以来一直是数学、物理学、数学社会学、计算机科学等许多研究的主题,但在 1970 年代,空间网络在定量地理学中也得到了深入研究。地理学研究的对象主要是个人的位置、活动和流动,但也包括时间和空间演变的网络。<ref name="NetAnal">P. Haggett and R.J. Chorley. ''Network analysis in geog-'' raphy''. Edward Arnold, London, 1969.''</ref>大多数重要问题,如网络节点的位置、交通网络的演变及其与人口和活动密度的相互作用,都在这些早期的研究中得到解决。另一方面,许多重要点仍然不清楚,部分原因是当时缺乏大型网络的数据集和更大的计算机能力。最近,空间网络已成为统计学研究的主题,将概率和随机过程与现实世界中的网络联系起来。<ref name="David">{{Cite web|url=http://www.stat.berkeley.edu/~aldous/206-SNET/index.html|title=Spatial Networks|access-date=2014-01-10|archive-date=2014-01-10|archive-url=https://web.archive.org/web/20140110202716/http://www.stat.berkeley.edu/~aldous/206-SNET/index.html|url-status=live}}</ref> |
| + | |
| + | == 参考文献 == |
| + | <references /> |
| + | *{{cite journal |
| + | |last = Bandelt |
| + | |first = Hans-Jürgen |
| + | |author2 = Chepoi, Victor |
| + | |url = http://www.lif-sud.univ-mrs.fr/%7Echepoi/survey_cm_bis.pdf |
| + | |title = Metric graph theory and geometry: a survey |
| + | |journal = Contemp. Math. |
| + | |series = Contemporary Mathematics |
| + | |year = 2008 |
| + | |volume = 453 |
| + | |pages = 49–86 |
| + | |doi = 10.1090/conm/453/08795 |
| + | |isbn = 9780821842393 |
| + | |url-status = dead |
| + | |archive-url = https://web.archive.org/web/20061125112119/http://www.lif-sud.univ-mrs.fr/~chepoi/survey_cm_bis.pdf |
| + | |archive-date = 2006-11-25 |
| + | }} |
| + | *{{cite book |
| + | | title = Towards a Theory of Geometric Graphs |
| + | | year = 2004 |
| + | | publisher = Contemporary Mathematics, no. 342, American Mathematical Society |
| + | |last=Pach |first=János |display-authors=etal |
| + | | author-link1 = János Pach |
| + | }} |
| + | |
| + | *{{cite conference |
| + | |author1=Pisanski, Tomaž |
| + | |author-link=Tomaž Pisanski |
| + | |author2=Randić, Milan |
| + | |author2-link=Milan Randić |
| + | |title = Bridges between geometry and graph theory |
| + | |date = 2000 |
| + | |url = http://www.ijp.si/ftp/pub/preprints/ps/98/pp595.ps |
| + | |book-title = Geometry at Work: Papers in Applied Geometry |
| + | |editor = Gorini, C. A. |
| + | |location = Washington, DC |
| + | |publisher = Mathematical Association of America |
| + | |pages = 174–194 |
| + | |url-status = dead |
| + | |archive-url = https://web.archive.org/web/20070927192355/http://www.ijp.si/ftp/pub/preprints/ps/98/pp595.ps |
| + | |archive-date = 2007-09-27 |
| + | }} |