Calculus and its applications in scale-free networks

The purpose of this article is to highlight and emphasize the applications of calculus in scale-free networks, which have been found as property of many complex networks. There are many different types of real and manmade complex networks in various domain of life ranging from technological, social,...

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Main Authors:	Mahesar, Abdul Waheed, Malik, Hafiz Abid Mahmood, Ahmad, Akhlaq, Shah, Asadullah, Wahiddin, Mohamed Ridza
Format:	Conference or Workshop Item
Language:	English
Published:	2014
Subjects:	T10.5 Communication of technical information
Online Access:	http://irep.iium.edu.my/39712/ http://irep.iium.edu.my/39712/ http://irep.iium.edu.my/39712/1/39712.pdf

id	iium-39712
recordtype	eprints
spelling	iium-397122016-08-02T00:07:35Z http://irep.iium.edu.my/39712/ Calculus and its applications in scale-free networks Mahesar, Abdul Waheed Malik, Hafiz Abid Mahmood Ahmad, Akhlaq Shah, Asadullah Wahiddin, Mohamed Ridza T10.5 Communication of technical information The purpose of this article is to highlight and emphasize the applications of calculus in scale-free networks, which have been found as property of many complex networks. There are many different types of real and manmade complex networks in various domain of life ranging from technological, social, biological, transportation and ecological networks among many others. All these networks have shown many similar structural properties in their formation and functions. This article focuses on the most prevalence type of networks known as Scale-Free Networks (SFN). These types of networks have two basic properties: growth and preferential node attachment. In this paper, we analyze and discuss the importance and usage of calculus in understanding the formation of these type of networks, as these networks continuously change their topology by inclusion of new nodes and links as they evolve. Further, as the calculus is the mathematical study of change therefore the applications of calculus in evolution process of complex networks with fitness model have been explained analytically based on fit-get-rich phenomenon in the complex networks as compared to simple BA1 model which is based, only on the consideration of number of nodes linkages in the networks. 2014-11-02 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/39712/1/39712.pdf Mahesar, Abdul Waheed and Malik, Hafiz Abid Mahmood and Ahmad, Akhlaq and Shah, Asadullah and Wahiddin, Mohamed Ridza (2014) Calculus and its applications in scale-free networks. In: 5th International Conference on Information and Communication Technology for The Muslims World (ICT4M 2014), 17th-18th November 2014, Kuching, Sarawak. (Unpublished) http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7020635&tag=1
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	T10.5 Communication of technical information
spellingShingle	T10.5 Communication of technical information Mahesar, Abdul Waheed Malik, Hafiz Abid Mahmood Ahmad, Akhlaq Shah, Asadullah Wahiddin, Mohamed Ridza Calculus and its applications in scale-free networks
description	The purpose of this article is to highlight and emphasize the applications of calculus in scale-free networks, which have been found as property of many complex networks. There are many different types of real and manmade complex networks in various domain of life ranging from technological, social, biological, transportation and ecological networks among many others. All these networks have shown many similar structural properties in their formation and functions. This article focuses on the most prevalence type of networks known as Scale-Free Networks (SFN). These types of networks have two basic properties: growth and preferential node attachment. In this paper, we analyze and discuss the importance and usage of calculus in understanding the formation of these type of networks, as these networks continuously change their topology by inclusion of new nodes and links as they evolve. Further, as the calculus is the mathematical study of change therefore the applications of calculus in evolution process of complex networks with fitness model have been explained analytically based on fit-get-rich phenomenon in the complex networks as compared to simple BA1 model which is based, only on the consideration of number of nodes linkages in the networks.
format	Conference or Workshop Item
author	Mahesar, Abdul Waheed Malik, Hafiz Abid Mahmood Ahmad, Akhlaq Shah, Asadullah Wahiddin, Mohamed Ridza
author_facet	Mahesar, Abdul Waheed Malik, Hafiz Abid Mahmood Ahmad, Akhlaq Shah, Asadullah Wahiddin, Mohamed Ridza
author_sort	Mahesar, Abdul Waheed
title	Calculus and its applications in scale-free networks
title_short	Calculus and its applications in scale-free networks
title_full	Calculus and its applications in scale-free networks
title_fullStr	Calculus and its applications in scale-free networks
title_full_unstemmed	Calculus and its applications in scale-free networks
title_sort	calculus and its applications in scale-free networks
publishDate	2014
url	http://irep.iium.edu.my/39712/ http://irep.iium.edu.my/39712/ http://irep.iium.edu.my/39712/1/39712.pdf
first_indexed	2023-09-18T20:57:03Z
last_indexed	2023-09-18T20:57:03Z
_version_	1777410374487769088

Calculus and its applications in scale-free networks

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