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On longest paths and diameter in random apollonian networks. Random Structures and Algorithms
, 2014
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Long paths in random Apollonian networks
, 2014
"... We consider the length L(n) of the longest path in a randomly generated Apollonian Network (ApN) An. We show that w.h.p. L(n) ≤ ne − logc n for any constant c < 2/3. 1 ..."
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We consider the length L(n) of the longest path in a randomly generated Apollonian Network (ApN) An. We show that w.h.p. L(n) ≤ ne − logc n for any constant c < 2/3. 1
Complex networks
 Handbook of Graph Theory, chapter 12.1
, 2013
"... 1.1.1 Examples of complex networks.......................... 2 1.1.2 Properties of complex networks......................... 2 1.1.3 Random graphs with general degree distributions...... 5 1.1.4 Online models of complex networks.................... 7 1.1.5 Geometric models for complex networks..... ..."
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1.1.1 Examples of complex networks.......................... 2 1.1.2 Properties of complex networks......................... 2 1.1.3 Random graphs with general degree distributions...... 5 1.1.4 Online models of complex networks.................... 7 1.1.5 Geometric models for complex networks............... 9 1.1.6 Percolation in a general host graph..................... 11 1.1.7 PageRank for ranking nodes............................ 12 1.1.8 Network games.......................................... 14