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Preventing Unraveling in Social Networks: The Anchored k-Core Problem [chapter]

Kshipra Bhawalkar, Jon Kleinberg, Kevin Lewi, Tim Roughgarden, Aneesh Sharma
2012 Lecture Notes in Computer Science  
We study the problem of "anchoring" a small number of vertices to maximize the size of the corresponding anchored k-core -the maximal induced subgraph in which every non-anchored vertex has degree at least  ...  The natural equilibrium of this model corresponds to the k-core of the social network -the maximal induced subgraph with minimum degree at least k.  ...  The Anchored k-Core Problem. The unraveling described in Schelling's line example is often undesirable, and could represent the end of a social network, a product, or a public good.  ... 
doi:10.1007/978-3-642-31585-5_40 fatcat:wqgripd5j5dn5lsfsnmr64ppd4

Preventing Unraveling in Social Networks: The Anchored $k$-Core Problem

Kshipra Bhawalkar, Jon Kleinberg, Kevin Lewi, Tim Roughgarden, Aneesh Sharma
2015 SIAM Journal on Discrete Mathematics  
We study the problem of "anchoring" a small number of vertices to maximize the size of the corresponding anchored k-core -the maximal induced subgraph in which every non-anchored vertex has degree at least  ...  The natural equilibrium of this model corresponds to the k-core of the social network -the maximal induced subgraph with minimum degree at least k.  ...  The Anchored k-Core Problem. The unraveling described in Schelling's line example is often undesirable, and could represent the end of a social network, a product, or a public good.  ... 
doi:10.1137/14097032x fatcat:rv3kvqwsajbddlv6y2vpvguwsu

Preventing Unraveling in Social Networks Gets Harder [article]

Rajesh Chitnis, Fedor V. Fomin, Petr A. Golovach
2013 arXiv   pre-print
In particular we show that the Anchored k-Core problem is W[1]-hard parameterized by p, even for k=3.  ...  The behavior of users in social networks is often observed to be affected by the actions of their friends.  ...  Acknowledgements: We would like to thank the anonymous referees of AAAI 2013 for helpful comments.  ... 
arXiv:1304.6420v1 fatcat:ut5uyaxskvdk5lyug5ldghgv7e

Preventing Unraveling in Social Networks Gets Harder

Rajesh Chitnis, Fedor Fomin, Petr Golovach
2013 PROCEEDINGS OF THE THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE AND THE TWENTY-EIGHTH INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE CONFERENCE  
In this paper we give improved hardness results for this problem. In particular we show that the Anchored k-Core problem is W[1]-hard parameterized by p, even for k=3.  ...  The behavior of users in social networks is often observed to be affected by the actions of their friends. Bhawalkar et al.  ...  This is called as the k-core and is a well-known concept in the theory of social networks.  ... 
doi:10.1609/aaai.v27i1.8462 fatcat:v7bciun4snhozhvwfa3gzalqqi

Parameterized Complexity of the Anchored k-Core Problem for Directed Graphs [article]

Rajesh Chitnis, Fedor V. Fomin, Petr A. Golovach
2013 arXiv   pre-print
In this paper, we extend the notion of k-core to directed graphs and provide a number of new algorithmic and complexity results for the directed version of the problem.  ...  Bhawalkar, Kleinberg, Lewi, Roughgarden, and Sharma [ICALP 2012] introduced the Anchored k-Core problem, where the task is for a given graph G and integers b, k, and p to find an induced subgraph H with  ...  Introduction The anchored k-core problem can be explained by the following illustrative example. We want to organize a workshop on Theory of Social Networks.  ... 
arXiv:1304.5870v2 fatcat:wwbjepuuhrgnnkfsv733xwo4hi

Network Robustness via Global k-cores [article]

Palash Dey, Suman Kalyan Maity, Sourav Medya, Arlei Silva
2020 arXiv   pre-print
Therefore, previous work has attempted to model network robustness via the stability of its k-core.  ...  In particular, we evaluate the stability of the network under node removals with respect to each node's initial core.  ...  One such example is maximization of the -core by making a few nodes outside the -core as anchors to prevent unraveling in social networks [1, 3] .  ... 
arXiv:2012.10036v1 fatcat:vxu5fencpzb3hgftghot2xbcda

The core decomposition of networks: theory, algorithms and applications

Fragkiskos D. Malliaros, Christos Giatsidis, Apostolos N. Papadopoulos, Michalis Vazirgiannis
2019 The VLDB journal  
[20] introduced the anchored k-core problem, which examines how to prevent unravelling on the network: we aim at retaining (anchoring) some individuals, so as to maximize the number of users that will  ...  The Anchored k-Core Problem and Engagement Dynamics in Social Graphs A common behavior of users in social networks is that their decisions are influenced by that of their neighbors, exhibiting the so-called  ... 
doi:10.1007/s00778-019-00587-4 fatcat:pqjbqxixvzfijijfmr57ht4uiy

OLAK

Fan Zhang, Wenjie Zhang, Ying Zhang, Lu Qin, Xuemin Lin
2017 Proceedings of the VLDB Endowment  
In this paper, we study the problem of the anchored k-core.  ...  This problem was introduced by Bhawalkar and Kleinberg et al. in the context of user engagement in social networks, where a user may leave a community if he/she has less than k friends engaged.  ...  To prevent unraveling in social networks, Bhawalkar and Kleinberg et al. [7] formally introduce the problem of anchored k-core.  ... 
doi:10.14778/3055330.3055332 fatcat:ufqmoabi4nhcpfbpf65nplww5q

Can We Create Large k-Cores by Adding Few Edges? [chapter]

Rajesh Chitnis, Nimrod Talmon
2018 Lecture Notes in Computer Science  
Acknowledgments The authors would like to thank Fedor Fomin, Petr Golovach, and Bart M.P. Jansen for helpful discussions.  ...  The Anchored k-Core problem (AKC): The unraveling described above in Schelling's example of a path might be highly undesirable if the goal is to keep as many people engaged as possible.  ...  [4] formalized this notion and defined the Anchored k-Core problem (AKC).  ... 
doi:10.1007/978-3-319-90530-3_8 fatcat:nonsm4al3rewrorbwvzp2wsnsi

A Game Theoretic Approach For k-Core Minimization

Sourav Medya, Tianyi Ma, Arlei Silva, Ambuj K. Singh
2020 International Joint Conference on Autonomous Agents & Multiagent Systems  
More specifically, we study the problem of computing a small set of edges for which the removal minimizes the k-core structure of a network.  ...  However, k-cores can be quite unstable to network modifications, which inspires the question: How resilient is the k-core structure of a network, such as the Web or Facebook, to edge deletions?  ...  and (3) Design: How to prevent unraveling in a social or biological network by strengthening connections between pairs of nodes [2] ?  ... 
dblp:conf/atal/MedyaMSS20 fatcat:aoix5vvjxnhz3cjohg7afi5rzi

Multiple factor analysis for time-varying two-mode networks

GIANCARLO RAGOZINI, DOMENICO DE STEFANO, MARIA ROSARIA D'ESPOSITO
2015 Network Science  
AbstractMost social networks present complex structures. They can be both multi-modal and multi-relational. In addition, each relationship can be observed across time occasions.  ...  This procedure allows us to create static displays in order to explore network evolutions and to visually analyze the degree of similarity of actor/event network profiles over time while preserving the  ...  Discovering the community structure in social networks is a common problem in social network analysis.  ... 
doi:10.1017/nws.2015.5 fatcat:gslvillycvclnlftygsrd635ju

Understanding brain networks and brain organization

Luiz Pessoa
2014 Physics of Life Reviews  
Although the problem is ameliorated, one should not anticipate a one-to-one mapping when the network approach is adopted.  ...  As others in the past, I argue that a network perspective should supplant the common strategy of understanding the brain in terms of individual regions.  ...  In later work [26] , he outlined a more comprehensive scheme in which the human brain contains at least five major "core" functional networks: (i) the spatial awareness/attention network anchored in posterior  ... 
doi:10.1016/j.plrev.2014.03.005 pmid:24819881 pmcid:PMC4157099 fatcat:cokbkqhik5hi7kqwartrq6hiry

Evaluation and Influencing Factors of Network Resilience in Guangdong-Hong Kong-Macao Greater Bay Area: A Structural Perspective

Jialu Shi, Xuan Wang, Chengxin Wang, Haimeng Liu, Yi Miao, Fuyi Ci
2022 Sustainability  
The results were as follows: (1) regional difference was biggest in GBA's economic network strength while smallest in its transportation network strength, and the east bank of the Pearl River represented  ...  Based on the dimensions of regional resilience and the framework of urban network, a new evaluation system of network resilience, including economic, social, and engineering networks, was established to  ...  Characteristics of Network Resilience Core-Edge Analysis of Network Resilience In this study, the core-edge structure in social network analysis was used to measure network resilience.  ... 
doi:10.3390/su14138005 fatcat:zputjpujwfhh7fdm3qxy66ucha

Network structure and innovation: The leveraging of a dual network as a distinctive relational capability

Antonio Capaldo
2007 Strategic Management Journal  
') impact the innovative capability of the lead firm in an alliance network.  ...  in SME networks (Human and Provan, 1997) , little is known about whether, why, and how different network architectures exert asymmetric impacts on the innovative capability of the network's leading actor  ...  Conversations with Andrew Pettigrew in the initial stages of the research project out of which this paper grew provided useful methodological insights.  ... 
doi:10.1002/smj.621 fatcat:j3hamspl7ffjvk7zh32wma624y

Is Europe Doomed to Stagnation? An Analysis of the Current Crisis and Recommendations for Reforming Macroeconomic Policymaking in Euroland

Jörg Bibow
2003 Social Science Research Network  
the ECB in order to prevent run-away inflation.  ...  And there is no discipline in place to prevent countries from attempting to be too thrifty. Social partners' role is also indicated in the above: appropriate wage behavior.  ... 
doi:10.2139/ssrn.414400 fatcat:wj7wvgk6jffwvcawmmpubnu2wm
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