Optimization of the Critical Diameter and Average Path Length of Social Networks

Optimizing average path length (APL) by adding shortcut edges has been widely discussed in connection with social networks, but the relationship between network diameter and APL is generally ignored in the dynamic optimization of APL. In this paper, we analyze this relationship and transform the pro...

Full description

Saved in:
Bibliographic Details
Main Authors: Haifeng Du, Xiaochen He, Wei Du, Marcus W. Feldman
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2017/3203615
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832562718772559872
author Haifeng Du
Xiaochen He
Wei Du
Marcus W. Feldman
author_facet Haifeng Du
Xiaochen He
Wei Du
Marcus W. Feldman
author_sort Haifeng Du
collection DOAJ
description Optimizing average path length (APL) by adding shortcut edges has been widely discussed in connection with social networks, but the relationship between network diameter and APL is generally ignored in the dynamic optimization of APL. In this paper, we analyze this relationship and transform the problem of optimizing APL into the problem of decreasing diameter to 2. We propose a mathematic model based on a memetic algorithm. Experimental results show that our algorithm can efficiently solve this problem as well as optimize APL.
format Article
id doaj-art-153671f89b8744dfa2e04d17dde3d5a7
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-153671f89b8744dfa2e04d17dde3d5a72025-02-03T01:21:55ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/32036153203615Optimization of the Critical Diameter and Average Path Length of Social NetworksHaifeng Du0Xiaochen He1Wei Du2Marcus W. Feldman3Center for Administration and Complexity Science, Xi’an Jiaotong University, Xi’an, Shanxi Province 710049, ChinaCenter for Administration and Complexity Science, Xi’an Jiaotong University, Xi’an, Shanxi Province 710049, ChinaCenter for Administration and Complexity Science, Xi’an Jiaotong University, Xi’an, Shanxi Province 710049, ChinaCenter for Administration and Complexity Science, Xi’an Jiaotong University, Xi’an, Shanxi Province 710049, ChinaOptimizing average path length (APL) by adding shortcut edges has been widely discussed in connection with social networks, but the relationship between network diameter and APL is generally ignored in the dynamic optimization of APL. In this paper, we analyze this relationship and transform the problem of optimizing APL into the problem of decreasing diameter to 2. We propose a mathematic model based on a memetic algorithm. Experimental results show that our algorithm can efficiently solve this problem as well as optimize APL.http://dx.doi.org/10.1155/2017/3203615
spellingShingle Haifeng Du
Xiaochen He
Wei Du
Marcus W. Feldman
Optimization of the Critical Diameter and Average Path Length of Social Networks
Complexity
title Optimization of the Critical Diameter and Average Path Length of Social Networks
title_full Optimization of the Critical Diameter and Average Path Length of Social Networks
title_fullStr Optimization of the Critical Diameter and Average Path Length of Social Networks
title_full_unstemmed Optimization of the Critical Diameter and Average Path Length of Social Networks
title_short Optimization of the Critical Diameter and Average Path Length of Social Networks
title_sort optimization of the critical diameter and average path length of social networks
url http://dx.doi.org/10.1155/2017/3203615
work_keys_str_mv AT haifengdu optimizationofthecriticaldiameterandaveragepathlengthofsocialnetworks
AT xiaochenhe optimizationofthecriticaldiameterandaveragepathlengthofsocialnetworks
AT weidu optimizationofthecriticaldiameterandaveragepathlengthofsocialnetworks
AT marcuswfeldman optimizationofthecriticaldiameterandaveragepathlengthofsocialnetworks