A method of constructing the frame of a directed graph

Ichiro Hofuku; Kunio Oshima

International Journal of Applied Mathematics and Computer Science (2013)

  • Volume: 23, Issue: 4, page 823-837
  • ISSN: 1641-876X

Abstract

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In web search engines, such as Google, the ranking of a particular keyword is determined by mathematical tools, e.g., Pagerank or Hits. However, as the size of the network increases, it becomes increasingly difficult to use keyword ranking to quickly find the information required by an individual user. One reason for this phenomenon is the interference of superfluous information with the link structure. The World Wide Web can be expressed as an enormous directed graph. The purpose of the present study is to provide tools for studying the web as a directed graph in order to find clues to the solution of the problem of interference from superfluous information, and to reform the directed graph to clarify the relationships between the nodes.

How to cite

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Ichiro Hofuku, and Kunio Oshima. "A method of constructing the frame of a directed graph." International Journal of Applied Mathematics and Computer Science 23.4 (2013): 823-837. <http://eudml.org/doc/262350>.

@article{IchiroHofuku2013,
abstract = {In web search engines, such as Google, the ranking of a particular keyword is determined by mathematical tools, e.g., Pagerank or Hits. However, as the size of the network increases, it becomes increasingly difficult to use keyword ranking to quickly find the information required by an individual user. One reason for this phenomenon is the interference of superfluous information with the link structure. The World Wide Web can be expressed as an enormous directed graph. The purpose of the present study is to provide tools for studying the web as a directed graph in order to find clues to the solution of the problem of interference from superfluous information, and to reform the directed graph to clarify the relationships between the nodes.},
author = {Ichiro Hofuku, Kunio Oshima},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {directed graph; node clustering; Perron-Frobenius theorem; information retrieval},
language = {eng},
number = {4},
pages = {823-837},
title = {A method of constructing the frame of a directed graph},
url = {http://eudml.org/doc/262350},
volume = {23},
year = {2013},
}

TY - JOUR
AU - Ichiro Hofuku
AU - Kunio Oshima
TI - A method of constructing the frame of a directed graph
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 4
SP - 823
EP - 837
AB - In web search engines, such as Google, the ranking of a particular keyword is determined by mathematical tools, e.g., Pagerank or Hits. However, as the size of the network increases, it becomes increasingly difficult to use keyword ranking to quickly find the information required by an individual user. One reason for this phenomenon is the interference of superfluous information with the link structure. The World Wide Web can be expressed as an enormous directed graph. The purpose of the present study is to provide tools for studying the web as a directed graph in order to find clues to the solution of the problem of interference from superfluous information, and to reform the directed graph to clarify the relationships between the nodes.
LA - eng
KW - directed graph; node clustering; Perron-Frobenius theorem; information retrieval
UR - http://eudml.org/doc/262350
ER -

References

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