%0 Book Section %1 Cellai2013Singularities %A Cellai, Davide %A Gleeson, James P. %B Complex Networks IV %C Berlin, Heidelberg %D 2013 %E Ghoshal, Gourab %E Poncela-Casasnovas, Julia %E Tolksdorf, Robert %I Springer %K a-singularities, percolation critical-phenomena k-core %P 165--172 %R 10.1007/978-3-642-36844-8\_16 %T Singularities in Ternary Mixtures of k-core Percolation %U http://dx.doi.org/10.1007/978-3-642-36844-8\_16 %V 476 %X Heterogeneous k-core percolation is an extension of a percolation model which has interesting applications to the resilience of networks under random damage. In this model, the notion of node robustness is local, instead of global as in uniform k-core percolation. One of the advantages of k-core percolation models is the validity of an analytical mathematical framework for a large class of network topologies. We study ternary mixtures of node types in random networks and show the presence of a new type of critical phenomenon. This scenario may have useful applications in the stability of large scale infrastructures and the description of glass-forming systems. %& 16 %@ 978-3-642-36843-1

@inbook{Cellai2013Singularities, abstract = {{Heterogeneous k-core percolation is an extension of a percolation model which has interesting applications to the resilience of networks under random damage. In this model, the notion of node robustness is local, instead of global as in uniform k-core percolation. One of the advantages of k-core percolation models is the validity of an analytical mathematical framework for a large class of network topologies. We study ternary mixtures of node types in random networks and show the presence of a new type of critical phenomenon. This scenario may have useful applications in the stability of large scale infrastructures and the description of glass-forming systems.}}, added-at = {2019-06-10T14:53:09.000+0200}, address = {Berlin, Heidelberg}, archiveprefix = {arXiv}, author = {Cellai, Davide and Gleeson, James P.}, biburl = {https://www.bibsonomy.org/bibtex/282fbd690868f528877e1b08d7112ece7/nonancourt}, booktitle = {Complex Networks IV}, chapter = 16, citeulike-article-id = {11921618}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/978-3-642-36844-8\_16}, citeulike-linkout-1 = {http://arxiv.org/abs/1301.4556}, citeulike-linkout-2 = {http://arxiv.org/pdf/1301.4556}, day = 19, doi = {10.1007/978-3-642-36844-8\_16}, editor = {Ghoshal, Gourab and Poncela-Casasnovas, Julia and Tolksdorf, Robert}, eprint = {1301.4556}, interhash = {98bacafac889fdf2509446328941e930}, intrahash = {82fbd690868f528877e1b08d7112ece7}, isbn = {978-3-642-36843-1}, issn = {1860-9503}, keywords = {a-singularities, percolation critical-phenomena k-core}, month = jan, pages = {165--172}, posted-at = {2013-01-22 10:13:13}, priority = {2}, publisher = {Springer}, timestamp = {2019-08-01T16:09:09.000+0200}, title = {{Singularities in Ternary Mixtures of k-core Percolation}}, url = {http://dx.doi.org/10.1007/978-3-642-36844-8\_16}, volume = 476, year = 2013 }