By David F. Gleich, Júlia Komjáthy, Nelly Litvak
This e-book constitutes the lawsuits of the twelfth foreign Workshop on Algorithms and types for the net Graph, WAW 2015, held in Eindhoven, The Netherlands, in December 2015.
The 15 complete papers awarded during this quantity have been conscientiously reviewed and chosen from 24 submissions. they're geared up in topical sections named: houses of huge graph types, dynamic approaches on huge graphs, and houses of PageRank on huge graphs.
Read Online or Download Algorithms and Models for the Web Graph: 12th International Workshop, WAW 2015, Eindhoven, The Netherlands, December 10-11, 2015, Proceedings PDF
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Extra resources for Algorithms and Models for the Web Graph: 12th International Workshop, WAW 2015, Eindhoven, The Netherlands, December 10-11, 2015, Proceedings
In: 2014 IEEE 53rd Annual Conference on Decision and Control (CDC), pp. 3661–3668. lt Abstract. The bivariate distribution of degrees of adjacent vertices (degree-degree distribution) is an important network characteristic deﬁning the statistical dependencies between degrees of adjacent vertices. We show the asymptotic degree-degree distribution of a sparse inhomogeneous random intersection graph and discuss its relation to the clustering and power law properties of the graph. , see [2,8,11,14,15] and references therein.
Remark 1. Let c, x > 0. Let m, n → +∞. (i) Let a > 0 and κ > 3. Assume that EeaY1 < ∞ and X1 ∈ Pc,κ . Then β (3−κ)/2 r1−κ . P(d∗ = r) ∼ cbκ−1 1 (ii) Let κ > 2. Assume that Y1 ∈ Pc,κ and P(X1 = x) = 1. Then P(d∗ = r) ∼ c(x2 b1 )κ−1 r−κ . 30 of ). Unfortunatelly we are not aware of rigorous results establishing power law properties of Degree-Degree Distribution in a Power Law Random Intersection Graph 45 the local probabilities of randomly stopped sums in the case where the number of summands is heavy tailed.
10, 405 (2009) 3. : Emergence of scaling in random networks. Sci. 286(5439), 509–512 (1999) 4. : Mean-ﬁeld theory for scale-free random networks. Phys. A 272(1–2), 173–187 (1999) 5. : Internet: diameter of the world-wide web. Nat. 401, 130–131 (1999) 6. : Complex networks: structure and dynamics. Phys. Rep. 424(45), 175–308 (2006) 7. : Mathematical results on scale-free random graphs. In: Handbook of Graphs and Networks: From the Genome to the Internet (2003) 8. : The degree sequence of a scale-free random graph process.
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