Structure and Tie Strengths in Mobile Communication Networks — TEI-tagged view

J.-P. Onnela, J. Saramäki, J. Hyvönen, A.-L. Barabási, et al. · 2007 · sociology · doi:10.1073/pnas.0610245104 · full text at the source · TEI xml · tagged edition · index · concepts · authors
Where this record's text came from. faceted 2026-08 by reading the locally held text (pdftext); every evidence string verified as an exact substring of that text before merging. method: no term in the suggested vocabulary fits. The paper is primarily an empirical analysis of an observational phone-log network (degree/weight distributions, neighbourhood overlap, link-removal percolation with finite-size scaling), so I used 'network-analysis'; a diffusion simulation on that same graph is a secondary method ('we infect a randomly selected individual with some novel information'), and the supplementary material adds resampling experiments. Claim type: I chose mechanism over existence because the paper's headline is causal in shape — the observed local coupling is what produces the phase-transition asymmetry and the dynamic trapping of information — even though the coupling itself is an existence finding. The first relation is a borderline case between 'replicates' and 'extends': the paper confirms Granovetter's hypothesis rather than re-running a prior study, and its own wording ('first societal-level confirmation') supports either reading; I took 'replicates' because the confirmed content is prior work's, not the paper's. Relations to references 10/24/25 (strong ties matter more in technological and biological networks) are bare numbered citations with no named work, so I left them out per the rule. The text is a pdftext extraction with mangled equations and interleaved figure captions; my quotes were chosen from stretches that survived intact and were substring-verified against the file. 2026-08-14 and 2026-08-15 schema-0.3 passes: every quote verified as an exact substring of the staged text and anchored at merge time; concept terms verified present; every edge endpoint an existing node. Update, 15 September 2026: VERSION: the staged text of this paper is a PRE-PUBLICATION version, not the article of record. Every live quote was tested against the published PNAS text (PMC1863470): of the 34 quotes from the main text, 17 are in the published article and 17 are not, because the wording differs. The 12 quotes from the appended methods and supplementary material are absent from that article page, which does not carry the supplementary material, so their absence is NOT DECIDABLE against it. All 46 quotes are exact to the version they were cut from. Measured by the project.
Some quotes on this page contain (cid:NN). The PDF this text was extracted from encodes 3 characters in a way that names no letter, so the extractor could not say what they were. The quotes keep them because a quote is reproduced exactly or it proves nothing — the marks are the source’s, not the tagging’s.
Other fields define these differently the same word, defined another way in another discipline
sample-size 5 fields · communication 3 fields · standard-deviation 3 fields · bootstrap 2 fields · statistical-significance 2 fields · coupling 2 fields · and 1 more →
Tags on this paper every tag the record carries, whether or not the words occur in the text below — a number is how many papers in the corpus carry that tag; a tag with no number is unique to this paper
social network4 weak ties community structure2 information diffusion tie strength dyadic hypothesis global efficiency principle mobile call graph betweenness centrality2 network-analysis20
Method, as described: network-analysis

Our tag layer for this paper

Cross-disciplinary analysis
content-tags & facets: phenomenon · claim-type · cross-domain-transfer · mechanism · claim-relation · replication-status · limitation — grounded in the full text
phenomenontie strength and local topology in mobile communication networks— “Here we examine the communication patterns of millions of mobile phone users, allowing us to simultaneously study the local and the global structure of a society-wide communication network.”
claim-typemechanism— “We show that this coupling significantly slows the diffusion process, resulting in dynamic trapping of information in communities, and find that when it comes to information diffusion, weak and strong ties are both simultaneously ineffective.”
method — evidence— “A significant portion of a country’s communication network was reconstructed from 18 weeks of all mobile phone call records among approximately 20% of the country’s entire population, 90% of whose inhabitants had a mobile phone subscription (see Supporting Information).”
transferfrom statistical physics / network science: percolation and network analysis (robustness, phase transitions) applied to a society-scale communication network— “social networks are robust to the removal of the strong ties, but fall apart following a phase transition if the weak ties are removed”transfers[0]
mechanismweak ties bridge otherwise-separate communities, so removing them fragments the network via a percolation-like phase transition (a societal-scale confirmation of Granovetter strength-of-weak-ties)— “This result is broadly consistent with the strength of weak ties hypothesis, offering its first societal-level confirmation”mechanisms[0]
replicates Granovetter weak-ties hypothesis (1973)— “social networks are robust to the removal of the strong ties, but fall apart following a phase transition if the weak ties are removed”claim_relations[0]
replicates the strength of weak ties hypothesis (Granovetter)— “This result is broadly consistent with the strength of weak ties hypothesis, offering its first societal-level confirmation.”claim_relations[1]
contradicts the dyadic hypothesis and the global efficiency principle— “In this paper, taking advantage of society-wide data collection capabilities offered by mobile phone logs, we show that tie strengths correlate with the local network structure around the tie, and both the dyadic hypothesis and the global efficiency principle are unable to account for the empirical observations.”claim_relations[2]
contradicts the received account of weak ties as the conduits of novel information (Granovetter; Csermely)— “Therefore, in contrast with the celebrated role of weak ties in information access ( , 18 20 ), we find that both weak and strong ties have a relatively insignificant role as conduits for information (“the weakness of weak and strong ties” ): the former because the small amount of on-air time offers little chance of information transfer, and…claim_relations[3]
sensetie strength - AS AGGREGATED CALL DURATION: the sociological construct is measured by total air time between two people, over links that survive a reciprocity filter, so a strong tie here means many minutes and nothing else— “as the aggregated duration of calls between users A and B”senses[0]
sensewhat determines tie strength - THREE NAMED AND INCOMPATIBLE ANSWERS: a global efficiency principle in which strengths are optimised for overall flow, a dyadic hypothesis in which strength is independent of the surrounding network, and the strength of weak ties hypothesis in which it rises with friendship-circle overlap— “Complex networks often organize themselves according to a global efficiency principle, meaning that the tie strengths are optimized to maximize the overall flow in the network (13, 14). In this case the weight of a link should correlate with its betweenness centrality, which is proportional to the number of shortest paths between all pairs of…senses[1]
sensethe mobile call graph - AS A PROXY, AND A SKEWED ONE BY DESIGN: it stands in for the communication network and is biased toward trusted interactions, because people share mobile numbers only with individuals they trust— “the mobile phone data is skewed towards trusted interactions (that is, people tend to share their mobile numbers only with individuals they trust). Therefore, the MCG can be used as a proxy of the communication network between the users”senses[2]
controlthe same spreading simulation re-run on the SAME network with every tie strength replaced by the average, giving a constant transmission probability on every link — held — rules out the network's TOPOLOGY as the explanation of the spreading result - the graph is held fixed and only the weights are flattened, so any difference must come from the distribution of tie strengths rather than from who is connected to whom— “As a control, we consider spreading on the same network, but replace all tie strengths with their average value”controls[0]
outcome (stated by the tagger, no quotation)control — heldcontrols[0]
for which uselimitation — every claim about social ties from this graph: THE MCG CAPTURES ONLY A SUBSET OF ALL INTERACTIONS BETWEEN INDIVIDUALS, [excluding] FACE-TO-FACE, EMAIL AND LANDLINE— “Note that the MCG captures only a subset of all interactions between individuals, a detailed mapping of which would require face-to-face, email and landline communications as well.”limitations[0]
for which uselimitation — the link definition: the reciprocity requirement INDUCES SOME FALSE NEGATIVES, I.E. SOME LINKS CORRESPONDING TO GENUINE SOCIAL INTERACTION MAY GO UNDETECTED— “It is possible that this induces some false negatives, i.e. some links corresponding to genuine social interaction may go undetected.”limitations[1]
for which uselimitation — any population-level reading: ALTHOUGH THE DATASET COVERS SOME SEVEN MILLION USERS, IT IS NEVERTHELESS A SAMPLE OF THE UNDERLYING PHONE CALL NETWORK - scale is not coverage— “Although the dataset covers some seven million users, it is nervertheless a sample of the underlying phone call network that consists of all mobile users in the country.”limitations[2]
for which uselimitation — any claim here about the strength of social ties: strength is defined as the aggregated duration of calls between two users, after one-way calls have been eliminated by a reciprocity requirement— “as the aggregated duration of calls between users A and B. This procedure eliminates a large number of one-way calls, most of which correspond to single events, suggesting that they typically reach individuals that the caller does not know personally”limitations[3]
for which uselimitation — conclusions drawn here about human communication: the mobile call graph is used as a proxy for the communication network between users, being skewed toward trusted interactions because people share mobile numbers only with those they trust— “Therefore, the MCG can be used as a proxy of the communication network between the users”limitations[4]
for which uselimitation — the interpretation of the correlation reported here: the paper sets out a dyadic hypothesis, in which strength is independent of the surrounding network, against the strength of weak ties hypothesis, in which strength increases with friendship-circle overlap— “Another possiblility is that the strength of a particular tie depends only on the nature of the relationship between two individuals, and is thus independent of the network surrounding the tie (dyadic hypothesis). Finally, the much studied strength of weak ties hypothesis (18, 19, 20) states that the strength of a tie between A and B…limitations[5]
for which uselimitation — the finding as support for any single theory of tie strength: the authors state it is in part driven by local network structure, in contrast with both a purely dyadic view and a global view— “It suggests that tie strength is, in part, driven by the network structure in the tie’s immediate vicinity. This is in contrast with a purely dyadic view, according to which the tie strength is determined only by the characteristics of the individuals it connects, or the global view, which asserts that tie strength is driven by the whole…limitations[6]
replicationuntested
limitationThe reconstructed graph covers only mobile voice calls, not the full range of interactions between people.— “Note that the MCG captures only a subset of all interactions between individuals, a detailed mapping of which would require face-to-face, email and landline communications as well.”limitations[0]
limitationThe reciprocity requirement used to define a link may discard genuine social ties (false negatives).— “It is possible that this induces some false negatives, i.e. some links corresponding to genuine social interaction may go undetected.”limitations[1]
limitationThe data are a single-operator sample of the underlying national call network, not the whole population network.— “Although the dataset covers some seven million users, it is nervertheless a sample of the underlying phone call network that consists of all mobile users in the country.”limitations[2]
limitationThe strength of a social tie is measured as the total time two people spent on the phone.— “as the aggregated duration of calls between users A and B. This procedure eliminates a large number of one-way calls, most of which correspond to single events, suggesting that they typically reach individuals that the caller does not know personally”limitations[3]
limitationThe network studied is a stand-in for the communication network, and the paper says so.— “Therefore, the MCG can be used as a proxy of the communication network between the users”limitations[4]
limitationThree incompatible accounts of what drives tie strength were on the table before the measurement.— “Another possiblility is that the strength of a particular tie depends only on the nature of the relationship between two individuals, and is thus independent of the network surrounding the tie (dyadic hypothesis). Finally, the much studied strength of weak ties hypothesis (18, 19, 20) states that the strength of a tie between A and B…limitations[5]
limitationThe conclusion sits between the positions rather than choosing one.— “It suggests that tie strength is, in part, driven by the network structure in the tie’s immediate vicinity. This is in contrast with a purely dyadic view, according to which the tie strength is determined only by the characteristics of the individuals it connects, or the global view, which asserts that tie strength is driven by the whole…limitations[6]
Content tags
content-observations: finding · quantity · variable · definition · key-term — grounded in the full text
findingPhone-communication records of millions of users let the study examine a society-wide network's local and global structure together.— “Here we examine the communication patterns of millions of mobile phone users…content_tags.findings[0]
findingSocial networks are robust to the removal of strong ties but fall apart in a phase transition if weak ties are removed, and this coupling significantly slows diffusion, trapping information in communities.content_tags.findings[1]
quantitymillions mobile phone users — scale of the society-wide communication network studiedcontent_tags.quantities[0]
variablediffusion process (dependent)
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
content_tags.variables[1]
definitionlocal bridge
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
content_tags.definitions[0]
definitionweak ties hypothesis
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
content_tags.definitions[1]
key-termsties, network, communication, mobile, diffusion, weak, strong, phone, coupling
Concepts
terms this paper carries, each with the sentence it was cut from — the layer that joins one paper to another. Terms with no quote yet are on CONCEPTS.html.
concepttie strength
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
concepts[4]
conceptdyadic hypothesis
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
concepts[5]
conceptglobal efficiency principle
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
concepts[6]
conceptmobile call graph
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
concepts[7]
conceptbetweenness centrality
Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher.
concepts[8]
Statistics — cross-field join keys
field-invariant statistical terms, used in their statistical sense (gated on a number / symbol / test). A p-value or a standard deviation means the SAME thing in physics, biology, psychology and sociology — so these are the strongest cross-field join keys. Grounded verbatim.
bootstrap as written: bootstrapping
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content_tags.statistics[0]
evidence status notebootstrap — QUOTE RECOVERED FROM THE PAPER'S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file's own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted.content_tags.statistics[0]
correlation r as written: correlation coefficient
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content_tags.statistics[1]
mean μ as written: mean of
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content_tags.statistics[2]
p-value p as written: p=0.40
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content_tags.statistics[3]
evidence status notep-value — DAMAGED GLYPHS IN THIS QUOTE: (cid:31). These are raw PDF font glyph indices that leaked out in place of the characters they stand for - usually a mathematical operator. The quote is verbatim to the staged text and its anchor is sound; the STAGED TEXT is what is damaged. NOT repaired: the cid-to-character mapping is defined by the font embedded in that particular PDF, so guessing it would produce a clean and unverifiable quote. Repair needs the source PDF and is a re-staging job.content_tags.statistics[3]
sample-size n/N as written: sample sizes
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content_tags.statistics[4]
standard-deviation SD/σ as written: standard deviations
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content_tags.statistics[5]
statistical-significance as written: significantly
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content_tags.statistics[6]

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