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By Myriam P. Sassano, Araceli N. Proto (auth.), Araceli N. Proto, Massimo Squillante, Janusz Kacprzyk (eds.)

In this quantity contemporary advances within the use of contemporary quantitative types for the research of assorted difficulties concerning the dynamics of social and fiscal structures are awarded. the bulk chapters describe instruments and methods of greatly perceived computational intelligence, particularly fuzzy good judgment, evolutionary computation, neural networks and a few non-standard probabilistic and statistical analyses. as a result excessive complexity of the platforms and difficulties thought of, in lots of events it is important to think about whilst analytic, topological and statistical features and observe applicable strategies and algorithms. This quantity is an immediate results of bright discussions held in the course of the 5th foreign Workshop on Dynamics of Social and reasonably priced structures (DYSES) which used to be held at Benevento, Italy September 20-25, 2010, in addition to a number of post-workshop conferences and consultations.

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An Algorithm of Propagation in Weighted Directed Graphs with Applications to Economics and Finance. International Journal of Intelligent Systems 25, 237–252 (2010) 48 L. Cutillo, G. De Marco, and C. Donnini 5. : Interbank Exposures: Quantifying the Risk of Contagion. Journal of Money, Credit and Banking 35, 111–138 (2003) 6. : Cytoscape: a software environment for integrated models of biomolecular interaction networks. Genome Res. 13, 2498–2504 (2003) 7. : The Encyclopedia of Integer Sequences.

E. every vertex has the same degree) is defined to be regular. A regular graph with vertices of degree k is called a k-regular graph. Then, to keep the analysis as simpler as possible, we impose an additional condition on the set of neighbors of each node. Assumed to label the nodes circular wise, we allow each node to link only to the h preceding nodes and to the h following nodes in the circle. This topology reveals to be a k = 2h regular graph and we will refer to it as 2h regular ring graph.

As a shock occurs, some nodes in Ω suffer a loss which is first offset by the equity of the nodes and borne by their shareholders. This is represented by an absorption function that measures the share of net worth lost by a node in Ω βi (λi ) = min λi ,1 ei (1) where λi is the total loss borne by the i-th node, received from source nodes and/or from other nodes in Ω. If a node ωi receives a positive flow of losses, 24 M. Eboli it sends to the sink T an amount of its own equity equal to βi ei , β ∈ [0, 1].

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