This PowerPoint helps students to consider the concept of infinity.
Classement Leiden Ranking
1. New developments in bibliometric methods:
evaluation, mapping, ranking
Ton van Raan
Atelier Bibliométrie de l’URFIST de Paris
23 mars 2012 – CNAM
Center for Science and Technology Studies (CWTS)
Leiden University
2. Leiden University
oldest in the Netherlands, 1575
European League of Research Universities (LERU)
Within world top-100
12 Nobel Prizes
Leiden, historic city (2th, 11th C.), strong cultural
(arts, painting) & scientific tradition
one of the largest science parks in EU
2
3. Contents of this presentation:
* Bibliometric methodology:
• impact
• maps
* Leiden Ranking 2011-2012: new indicators
* Evaluation tools related to the Leiden Ranking
4. Total publ universe
non-WoS publ:
Books
Book chapters
Conf. proc.
Reports
WoS/Scopus sub-universe
journal articles only,> 1,000,000p/y Non-WoS journals
VOLUME 88, Number 13 PHYSICAL REVIEW LETTERS 1 April 2002
VOLUME 88, Number 13 PHYSICAL REVIEW LETTERS Behavior in “Scale-Free” Network Models
Truncation of Power Law 1 April 2002
due to Information Filtering
Truncation of Power Law Behavior in “Scale-Free” Network ModelsVOLUME 88, Number 13 PHYSICAL REVIEW LETTERS 1 April 2002
due to Information Filtering Barthélémy,3 H. Eugene Stanley,1 and Luís A. Nunes Amaral1
Stefano Mossa,1,2 Marc
VOLUME 88, Number 13 PHYSICAL REVIEW LETTERS 1 Center forApril 2002 and Department of Physics, Boston University, Boston, Massachusetts 02215
1 Polymer Studies Truncation of Power Law Behavior in “Scale-Free” Network Models
Stefano Mossa,1,2 Marc Barthélémy,3 H. Eugene Stanley,1 and LuísUdR, and INFM Center for Statistical Mechanics and Complexity, Information Filtering
2 Dipartimento di Fisica, INFM A. Nunes Amaral1 due to
Truncation of Power Law1 Behavior in “Scale-Free” Network Models di Roma “La Sapienza,” Piazzale Aldo Moro 2, I-00185, Roma, Italy
Università
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
2 Dipartimento di Fisica, INFM UdR, and3INFM Center for Statisticalde la Matière Condensée, BP 12, 91680 Bruyères-le-Châtel, France
due to Information Filtering
CEA-Service de Physique Mechanics and Complexity,
Stefano Mossa,1,2 Marc Barthélémy,3 H. Eugene Stanley,1 and Luís A. Nunes Amaral1
(Received 18 October 2001; published 14 March 2002)
Università di Roma “La Sapienza,” Piazzale Aldo Moro 2, I-00185, Roma, Italy 1 Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
Stefano Mossa,1,2 Marc Barthélémy,3CEA-Service de Physique Luís A.We formulate a general 91680 Bruyères-le-Châtel, of scale-free Dipartimento di Fisica, INFM UdR, and INFM Center for Statistical Mechanics and Complexity,
3 H. Eugene Stanley,1 and de la Matière Condensée, BP 12,
Nunes Amaral1 France 2
(Received Boston, Massachusetts 02215 model 2002)the growth
18 October 2001; published 14 March for networks under filtering information
1 Center for Polymer Studies and Department of Physics, Boston University, conditions—that is, when the nodes can process information about only a subset of the di Roma “La Sapienza,” Piazzale Aldo Moro 2, I-00185, Roma, Italy
Università
existing nodes in the
2 Dipartimento di Fisica, INFM UdR, and INFM Center for Statistical Mechanics and Complexity, distribution of the number of incoming linksCEA-Service de Physique de la Matière Condensée, BP 12, 91680 Bruyères-le-Châtel, France
3
We formulate a general model for the growth that the networks under
network. We find to a node follows a universal scaling
Università di Roma “La Sapienza,” Piazzale Aldo Moro 2, I-00185, Roma,that itof scale-freepower law with an filtering information controlled not only(Received 18 October 2001; published 14 March 2002)
Italy decays as
form, i.e.,information about a exponential truncation by the system size
3 CEA-Service de Physique de conditions—that is, when the 91680 canbut also by a feature not previouslysubset of thethe subsetnodes in the “accessible” to the node. We test our
la Matière Condensée, BP 12, nodes Bruyères-le-Châtel, France only a considered, existing of the network
process
(Received network. We find published 14 March 2002) number of incoming for theto a node follows aand find agreement.
18 October 2001; that the distribution of the with empirical data links World Wide Web universal scaling We formulate a general model for the growth of scale-free networks under filtering information
form, i.e., that it decays as a power law modelan exponential truncation controlled not only by the system size
with conditions—that is, when the nodes can process information about only a subset of the existing nodes in the
We formulate a general model for the growth of scale-free networks under the subset of the network “accessible” to the node. We test ourWe find that the distribution of the number of incoming links to a node follows a universal scaling
but also by a feature not previously considered, filtering information network.
DOI: 10.1103/PhysRevLett.88.138701 PACS numbers: 89.20.Hh, 84.35.+i, 89.75.Da, 89.75.Hc
conditions—that is, when the nodes canmodel with empirical data for the World Widethe existing nodes in the
process information about only a subset of Web and find agreement. form, i.e., that it decays as a power law with an exponential truncation controlled not only by the system size
network. We find that the distribution of the number of incoming links to a node follows a universal scaling but also by a feature not previously considered, the subset of the network “accessible” to the node. We test our
form, i.e., that it decays as a power law with an exponential truncation controlled not onlynumbers: 89.20.Hh, 84.35.+i, 89.75.Da, 89.75.Hc model with empirical data for the World Wide Web and find agreement.
DOI: 10.1103/PhysRevLett.88.138701 PACS by the system size
but also by a feature not previously considered, the subset of theThere is a “accessible” to the node. We in understanding the structure and growth mechanisms of global networks [1–3], such as the World Wide
network great deal of current interest test our
model with empirical data for the World Wide Web and find agreement. DOI: 10.1103/PhysRevLett.88.138701 PACS numbers: 89.20.Hh, 84.35.+i, 89.75.Da, 89.75.Hc
Web (WWW) [4,5] and the Internet [6]. Network structure is critical in many contexts such as Internet attacks [2], spread of an Email virus [7], or
There is a great deal of current interest in understanding the epidemics [8].growththese problems, global networks [1–3], such as theof links Widean important role on the dynamics of the
dynamics of human structure and In all mechanisms of the nodes with the largest number World play
DOI: 10.1103/PhysRevLett.88.138701 PACS numbers: 89.20.Hh, 84.35.+i, 89.75.Da, 89.75.Hc the global structure of the network as well as its precise distribution of the number of links.
Web (WWW) [4,5] and the Internet [6]. NetworkItstructure is critical in many contexts such as Internet attacks [2], spread of an Email virus [7], or
system. is therefore important to know
dynamics of human epidemics [8]. In all Recent empiricalthe nodesreportthe largest the Internetlinks playWWW have scale-free properties; that understanding the structure and growththe
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that decay with power links.
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the global nodes with the network proportional to the distributionnode will know these nodes. Here existing nodes, so a new node given node have distributions that decay with power
plausible that a of the links to the degrees outgoing links at a
is not understand in the following way: New nodes want to connect to the existing nodes with the largest
must
Recent empirical studies report that both the Internet and the WWW have which we properties; that is, theit number of the state of the and structure of the Internet and the WWW may be explained by a play as nodes with ato as “preferential attachment” [10] in which new nodes link
preferential attachment mechanism, scale-free
based on what information has about incoming links network. the mechanism referred
number distributions with the with degree—because of the has been offered [9] that the scale-free The preferential attachment mechanism then comes into
number of outgoing links at a given node have of links—i.e.,that decaylargest power law tails [4–6]. Itadvantagesproposedby being linked to ato existing nodesnode. For a large network it to the number of existing links to these nodes. Here we focus on the stochastic character of the
well-connected with a probability proportional
is not plausible that mechanism referred to degreesare moreattachment” [10] known. new nodes link
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Refs > non-WoS
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based on what number of it has links the state of the network. The on the stochastic character of number of comes into play as largest degree—because of the advantages offered by being linked to a well-connected node. For a large network it
the
preferential attachment mechanism, which we understand more likely to become New nodes want to connect to the existing nodes with the largest plausible that a new node will know the degrees of all existing nodes, so a new node must make a decision on which node to connect with
larger degree are in the following way: known. is not
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based
is not plausible that a new node will know the degrees of all existing nodes, so a new node must make a decision on which node to connect with degree are more likely to become known.
larger
based on what information it has about the state of the network. The preferential attachment mechanism then comes into play as nodes with a
larger degree are more likely to become known.
4
6. pa1 pa2 pa3 pa4
citing p <> cited p
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Primary Citation Network
Co-citation-network Bibliogr.coupl.network
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7. Primary network is a structure of different items
(e.g., citing publ <> cited publ; citing publ <> concepts)
In-degree primary network => received citations >
impact
Secondary network is a structure of similar items
(e.g., citing publ<> citing publ; concepts <> concepts)
Similarity in the secondary networks => co-
occurrence
map