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. 2016 Sep 19;94(3):032313. doi: 10.1103/PhysRevE.94.032313

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Published by the American Physical Society

Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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FIG. 3. — A comparison of heterogeneous bootstrap and heterogeneous $k$ -core percolation for the social network of dolphins observed by [38]. Left: heterogeneous bootstrap percolation. Top: thresholds for activation, $⌊ d_{u} / 3 ⌋$ . Middle: first step: all nodes of degree 1 or 2 are activated. Bottom: second step: nodes that now reach their threshold are activated. Right: heterogeneous $k$ -core percolation. Top: thresholds for deletion, $d_{u} - ⌊ d_{u} / 3 ⌋ + 1$ . Middle: first step: all nodes of degree 1 or 2 are deleted. Bottom: second step: nodes that now reach their threshold are deleted. The nodes deleted at each stage of $k$ -core percolation correspond exactly to the nodes activated at the same stage of bootstrap percolation.