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Approximating Betweenness Centrality in Large Evolving Networks [chapter]

Elisabetta Bergamini, Henning Meyerhenke, Christian L. Staudt
<span title="2014-12-22">2014</span> <i title="Society for Industrial and Applied Mathematics"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ka7ha6qhmfhmtbnfcmmmjao4ia" style="color: black;">2015 Proceedings of the Seventeenth Workshop on Algorithm Engineering and Experiments (ALENEX)</a> </i> &nbsp;
Betweenness centrality ranks the importance of nodes by their participation in all shortest paths of the network. Therefore computing exact betweenness values is impractical in large networks.  ...  However, for dynamic networks, no approximation algorithm for betweenness centrality is known that improves on static recomputation.  ...  In this paper, we present the first approximation algorithms for BC in evolving networks.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/1.9781611973754.12">doi:10.1137/1.9781611973754.12</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/alenex/BergaminiMS15.html">dblp:conf/alenex/BergaminiMS15</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yahsuk4hbrgznhbociwwrt6jse">fatcat:yahsuk4hbrgznhbociwwrt6jse</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190222231403/http://pdfs.semanticscholar.org/3e22/eb74f981cfb8e6383a969f38c0bd3e62abb8.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3e/22/3e22eb74f981cfb8e6383a969f38c0bd3e62abb8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/1.9781611973754.12"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Approximating Betweenness Centrality in Large Evolving Networks [article]

Elisabetta Bergamini and Henning Meyerhenke and Christian L. Staudt
<span title="2014-09-22">2014</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Betweenness centrality ranks the importance of nodes by their participation in all shortest paths of the network. Therefore computing exact betweenness values is impractical in large networks.  ...  However, for dynamic networks, no approximation algorithm for betweenness centrality is known that improves on static recomputation.  ...  In this paper, we present the first approximation algorithms for BC in evolving networks.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1409.6241v1">arXiv:1409.6241v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/upgmws5h5zf3tpi677ruik76ay">fatcat:upgmws5h5zf3tpi677ruik76ay</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191016011532/https://arxiv.org/pdf/1409.6241v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/2e/7f/2e7fbc570ad87eb524078aae5e25116aae46092b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1409.6241v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Centrality and Spectral Radius in Dynamic Communication Networks [chapter]

Danica Vukadinović Greetham, Zhivko Stoyanov, Peter Grindrod
<span title="">2013</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
and its computation in the case of large networks.  ...  We explore the influence of the choice of attenuation factor on Katz centrality indices for evolving communication networks.  ...  in evolving networks [9, 13] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-38768-5_72">doi:10.1007/978-3-642-38768-5_72</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xgwgs2vq55hydp623zf2fl2edy">fatcat:xgwgs2vq55hydp623zf2fl2edy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809041403/http://www.reading.ac.uk/web/files/maths/Preprint_13_09_Greetham.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5f/b6/5fb6f3ac75031deca0709554e028a9c762e207b6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-38768-5_72"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

On the radius of centrality in evolving communication networks

Danica Vukadinović Greetham, Zhivko Stoyanov, Peter Grindrod
<span title="2014-03-20">2014</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tsm6lnbvf5ahzjp7czojbjig5i" style="color: black;">Journal of combinatorial optimization</a> </i> &nbsp;
In this article, we investigate how the choice of the attenuation factor in an extended version of Katz centrality influences the centrality of the nodes in evolving communication networks.  ...  Here we explore the attenuation factor constraint, in relation to the spectral radius (the largest eigenvalue) of the network at any point in time and its computation in the case of large networks.  ...  on centrality in evolving networks [25] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10878-014-9726-0">doi:10.1007/s10878-014-9726-0</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lzehegskvnal7os5wv4i7ct5xu">fatcat:lzehegskvnal7os5wv4i7ct5xu</a> </span>
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Efficient Centrality Monitoring for Time-Evolving Graphs [chapter]

Yasuhiro Fujiwara, Makoto Onizuka, Masaru Kitsuregawa
<span title="">2011</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The goal of this work is to identify the nodes that have the smallest sum of distances to other nodes (the lowest closeness centrality nodes) in graphs that evolve over time.  ...  Sniper is based on two ideas: (1) It computes approximate centrality by reducing the original graph size while guaranteeing the answer exactness, and (2) It terminates unnecessary distance computations  ...  In the case of time-evolving graphs, small numbers of nodes are continually being added to the large number of already existing nodes.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-20847-8_4">doi:10.1007/978-3-642-20847-8_4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fayqfov5yvdk5izj4spybm3wla">fatcat:fayqfov5yvdk5izj4spybm3wla</a> </span>
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Fast Robustness Estimation in Large Social Graphs: Communities and Anomaly Detection [chapter]

Fragkiskos D. Malliaros, Vasileios Megalooikonomou, Christos Faloutsos
<span title="2012-04-26">2012</span> <i title="Society for Industrial and Applied Mathematics"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/viwc2ys5x5a47ogpdlftfzj5fm" style="color: black;">Proceedings of the 2012 SIAM International Conference on Data Mining</a> </i> &nbsp;
If the graph evolves over time, how these properties change? In this work, we are trying to answer the above questions studying the expansion properties of large social graphs.  ...  Given a large social graph, like a scientific collaboration network, what can we say about its robustness? Can we estimate a robustness index for a graph quickly?  ...  Acknowledgments The authors would like to thank Alan Mislove and SNAP (Stanford Network Analysis Platform) 4 for providing some of the datasets used in this study, and the anonymous reviewers for valuable  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/1.9781611972825.81">doi:10.1137/1.9781611972825.81</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/sdm/MalliarosMF12.html">dblp:conf/sdm/MalliarosMF12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uurucrzor5eh3plrmqqhcdumke">fatcat:uurucrzor5eh3plrmqqhcdumke</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190224161845/http://pdfs.semanticscholar.org/5a9c/e06c3fc9ac27e6d99586ba56f4893b795fb3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5a/9c/5a9ce06c3fc9ac27e6d99586ba56f4893b795fb3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1137/1.9781611972825.81"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Composite centrality: A natural scale for complex evolving networks

A.C. Joseph, G. Chen
<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jsigantcpjamteymlcjp25zyvq" style="color: black;">Physica D : Non-linear phenomena</a> </i> &nbsp;
This offers a unified scale to measure node and edge centralities for complex evolving networks under a uniform framework.  ...  We derive a composite centrality measure for general weighted and directed complex networks, based on measure standardisation and invariant statistical inheritance schemes.  ...  Acknowledgment Special thanks to the developers and authors of [28, 29, 30, 31] , which have been used for all numerical computations carried out in the present work.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physd.2013.08.005">doi:10.1016/j.physd.2013.08.005</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ew2pkdkkxrezhn37hwcjgwoub4">fatcat:ew2pkdkkxrezhn37hwcjgwoub4</a> </span>
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MOESM1 of Link transmission centrality in large-scale social networks

Qian Zhang, Mรกrton Karsai, Alessandro Vespignani
<span title="2018-09-15">2018</span> <i title="Figshare"> Figshare </i> &nbsp;
The supplementary information includes additional results on radius bias analysis, correlations between link transmission centralities and link betweenness centralities, and sensitivity analysis for controlling  ...  in large-scale social networks Comparison of the performance of transmission centrality and betweenness for Facebook wall post network.  ...  Results summarized in Table S1 show that the average transmission centrality, computed from the 0.1% of the MPC network nodes (10% in case of FB and 0.2% for TW ), approximates well the actual betweenness  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.6084/m9.figshare.7091174.v1">doi:10.6084/m9.figshare.7091174.v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vq6ur6bdinbndirqwbx6aq3k2m">fatcat:vq6ur6bdinbndirqwbx6aq3k2m</a> </span>
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Evolving Centralities in Temporal Graphs: A Twitter Network Analysis

Fabiola S.F. Pereira, Sandra de Amo, Joao Gama
<span title="">2016</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4dx63pqjlvhgnpxex7o4qtt2ta" style="color: black;">2016 17th IEEE International Conference on Mobile Data Management (MDM)</a> </i> &nbsp;
Here, we study Twitter follower/followee network and how users centralities evolve over time. Our analysis is founded on temporal graphs theory.  ...  We show how to compute closeness and betweenness centralities using fastest paths. Then, we propose a baseline algorithm for mining streams of temporal networks.  ...  Analyzing evolving centralities in networks can be applied in diverse real applications. We highlight here two of them.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/mdm.2016.88">doi:10.1109/mdm.2016.88</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/mdm/PereiraAG16.html">dblp:conf/mdm/PereiraAG16</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/i54venrcznb7dmyzgimvzn243u">fatcat:i54venrcznb7dmyzgimvzn243u</a> </span>
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Incremental Versus Optimized Network Design [article]

Saeideh Bakhshi, Constantine Dovrolis
<span title="2011-09-28">2011</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We evaluate the cost overhead and evolvability of incremental design under two network expansion models (random and gradual), comparing incremental and optimized networks in terms of cost, topological  ...  Also, it is less costly to evolve an existing network than to design it "from scratch" as long as the network expansion factor is less than a critical value.  ...  robustness in terms of a node betweenness centrality metric, compared to optimized networks.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1109.6347v1">arXiv:1109.6347v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2k5oevyhgjgupjdazeva4gwxhi">fatcat:2k5oevyhgjgupjdazeva4gwxhi</a> </span>
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Evolving networks in the human epileptic brain

Klaus Lehnertz, Gerrit Ansmann, Stephan Bialonski, Henning Dickten, Christian Geier, Stephan Porz
<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jsigantcpjamteymlcjp25zyvq" style="color: black;">Physica D : Non-linear phenomena</a> </i> &nbsp;
Within this framework, evolving networks can be considered as being composed of nodes, representing systems, and of time-varying edges, representing interactions between these systems.  ...  Indeed, there is growing evidence that the epileptic process can be regarded as a large-scale network phenomenon.  ...  Large fluctuations of network characteristics have also been observed in another study [164] that investigated evolving epileptic networks derived from iEEG data recorded from six patients over periods  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physd.2013.06.009">doi:10.1016/j.physd.2013.06.009</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3l6j7p6dgnei3ggulfbu2vi3vi">fatcat:3l6j7p6dgnei3ggulfbu2vi3vi</a> </span>
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Evolving Networks with Enhanced Stability Properties

David Newth, Jeff Ash
<span title="">2008</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2gzpmsoiwnhyta6evyeosj5nuy" style="color: black;">Research Letters in Physics</a> </i> &nbsp;
We use a search algorithm to identify networks with enhanced linear stability properties in this account.  ...  Analysis of the structure of networks with enhanced stability properties reveals that these networks are characterized by a highly skewed degree distribution, very short path-length between nodes, little  ...  Figure 2 shows the comparison between the evolved networks with enhanced stability properties and the two null models.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2008/195873">doi:10.1155/2008/195873</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4s3v32aasrhzneextyobrcw2ni">fatcat:4s3v32aasrhzneextyobrcw2ni</a> </span>
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Time Evolution of the Importance of Nodes in dynamic Networks

Clémence Magnien, Fabien Tarissan
<span title="">2015</span> <i title="ACM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/s2uqofedx5gzlnmioe3yqc522e" style="color: black;">Proceedings of the 2015 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining 2015 - ASONAM &#39;15</a> </i> &nbsp;
Yet, they do not investigate the fact that the network structure evolves and that node importance may evolve accordingly.  ...  In the present paper, we propose temporal extensions of notions of centrality, which take into account the paths existing at any given time, in order to study the time evolution of nodes' importance in  ...  ACKNOWLEDGEMENTS The authors would like to thank Thibault Rieutord for enlightening preliminary discussions on this work and in particular the algorithmic aspects.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/2808797.2809322">doi:10.1145/2808797.2809322</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/asunam/MagnienT15.html">dblp:conf/asunam/MagnienT15</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/aqjpjmeqyvagvf3vexxa7e4qqm">fatcat:aqjpjmeqyvagvf3vexxa7e4qqm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180720135717/https://hal.sorbonne-universite.fr/hal-01199042v2/document" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/95/59/955902bfc4cc2a4fab83ba4f8fc66c57aa8bbac6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/2808797.2809322"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

Octopus: Multiple minds or just a slow thinker?

Shelley A. Adamo
<span title="2019-01-01">2019</span> <i title="WellBeing International Publications"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3gusnsky2rft3jcfszaist3ayi" style="color: black;">Animal Sentience</a> </i> &nbsp;
PNS neurons could participate in forming cognitive networks with the central brain in the same way that the cerebellum is now thought to contribute to mammalian cognition.  ...  However, cephalopods lack myelinated fibres, which might decrease the ability of the PNS to participate in cognitive networks.  ...  For example, there are approximately 6,000 axons in the connectives between the segmental ganglia in the leech Hirudo medicinalis (Wilkinson and Coggeshall, 1975) .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.51291/2377-7478.1513">doi:10.51291/2377-7478.1513</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/64l6l6fn3ba7bosimmm4ynch44">fatcat:64l6l6fn3ba7bosimmm4ynch44</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210105164914/https://www.wellbeingintlstudiesrepository.org/cgi/viewcontent.cgi?article=1513&amp;context=animsent" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b7/e1/b7e10256c510cae6eded67936d16a5bae5033511.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.51291/2377-7478.1513"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

The circular topology of rhythm in asynchronous random Boolean networks

Philipp Rohlfshagen, Ezequiel A. Di Paolo
<span title="">2004</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dbxvzia7tzcdzoff4xmqtr4qrq" style="color: black;">Biosystems (Amsterdam. Print)</a> </i> &nbsp;
Random asynchronous update forces the evolved solutions to be highly robust maintaining their performance in the presence of intrinsic noise.  ...  Finally, the identified mechanisms are utilized to handcraft rhythmic networks of different periods showing that a low number of connections suffices for a large variety of rhythms.  ...  A simple statistical procedure is used to prune individual connections in the evolved networks to approximate the functional architecture of a network that effectively corresponds to the output produced  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.biosystems.2003.11.003">doi:10.1016/j.biosystems.2003.11.003</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/15013226">pmid:15013226</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/k76rvpyn5rg6pb4gwcynoxgoga">fatcat:k76rvpyn5rg6pb4gwcynoxgoga</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070418030047/http://www.informatics.sussex.ac.uk/users/ezequiel/ring-cr.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/8e/5d/8e5dae8daa1ca1564cf2d7ff766ec9271a9cc669.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.biosystems.2003.11.003"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>
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