Parameter specification for the degree distribution of simulated Barabási-Albert graphs

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作者：Fairul Mohd-Zaid^a ; ^{fairul.mohd-zaid@us.af.mil" class="auth_mail" title="E-mail the corresponding author} ; Christine M. Schubert Kabban^a ; Richard F. Deckro^b ; Edward D. White^a
关键词：Barabá ; si&ndash ; Albert ; Degree distribution ; Parameter estimation ; Pareto distribution ; Yule&ndash ; Simon distribution ; Goodness of fit
刊名：Physica A: Statistical Mechanics and its Applications
出版年：2017
出版时间：1 January 2017
年：2017
卷：465
期：Complete
页码：141-152
全文大小：1981 K

文摘

class="label">•: Least squares method is not appropriate for estimating class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0378437116304551&_mathId=si63.gif&_user=111111111&_pii=S0378437116304551&_rdoc=1&_issn=03784371&md5=44be2b539ba87f104e9f0d53ed05bdf5">class="imgLazyJSB inlineImage" height="14" width="9" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0378437116304551-si63.gif">class="mathContainer hidden">class="mathCode"> $β$ of Barabási–Albert graphs.
class="label">•: A modified version of Clauset et al. (2009) is more preferable for estimation.
class="label">•: Simulated graphs show that exponent is not the theoretical class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0378437116304551&_mathId=si64.gif&_user=111111111&_pii=S0378437116304551&_rdoc=1&_issn=03784371&md5=ad32e01cf5125f1d3c4c81128b63c604">class="imgLazyJSB inlineImage" height="14" width="40" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0378437116304551-si64.gif">class="mathContainer hidden">class="mathCode"> $β = 2$ for small graphs.
class="label">•: Value of class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0378437116304551&_mathId=si63.gif&_user=111111111&_pii=S0378437116304551&_rdoc=1&_issn=03784371&md5=44be2b539ba87f104e9f0d53ed05bdf5">class="imgLazyJSB inlineImage" height="14" width="9" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0378437116304551-si63.gif">class="mathContainer hidden">class="mathCode"> $β$ is also dependent on number of edges added, class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0378437116304551&_mathId=si21.gif&_user=111111111&_pii=S0378437116304551&_rdoc=1&_issn=03784371&md5=c7e82b1375e888385c12dfdbc76f3214" title="Click to view the MathML source">mclass="mathContainer hidden">class="mathCode"> $m$ , for small graphs.
class="label">•: Smaller value of m results in larger value of class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0378437116304551&_mathId=si63.gif&_user=111111111&_pii=S0378437116304551&_rdoc=1&_issn=03784371&md5=44be2b539ba87f104e9f0d53ed05bdf5">class="imgLazyJSB inlineImage" height="14" width="9" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0378437116304551-si63.gif">class="mathContainer hidden">class="mathCode"> $β$ for all graph sizes.

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