TY - GEN

T1 - Robust optimization of graph partitioning and critical node detection in analyzing networks

AU - Fan, Neng

AU - Pardalos, Panos M.

PY - 2010

Y1 - 2010

N2 - The graph partitioning problem (GPP) consists of partitioning the vertex set of a graph into several disjoint subsets so that the sum of weights of the edges between the disjoint subsets is minimized. The critical node problem (CNP) is to detect a set of vertices in a graph whose deletion results in the graph having the minimum pairwise connectivity between the remaining vertices. Both GPP and CNP find many applications in identification of community structures or influential individuals in social networks, telecommunication networks, and supply chain networks. In this paper, we use integer programming to formulate GPP and CNP. In several practice cases, we have networks with uncertain weights of links. Some times, these uncertainties have no information of probability distribution. We use robust optimization models of GPP and CNP to formulate the community structures or influential individuals in such networks.

AB - The graph partitioning problem (GPP) consists of partitioning the vertex set of a graph into several disjoint subsets so that the sum of weights of the edges between the disjoint subsets is minimized. The critical node problem (CNP) is to detect a set of vertices in a graph whose deletion results in the graph having the minimum pairwise connectivity between the remaining vertices. Both GPP and CNP find many applications in identification of community structures or influential individuals in social networks, telecommunication networks, and supply chain networks. In this paper, we use integer programming to formulate GPP and CNP. In several practice cases, we have networks with uncertain weights of links. Some times, these uncertainties have no information of probability distribution. We use robust optimization models of GPP and CNP to formulate the community structures or influential individuals in such networks.

UR - http://www.scopus.com/inward/record.url?scp=78650827337&partnerID=8YFLogxK

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U2 - 10.1007/978-3-642-17458-2_15

DO - 10.1007/978-3-642-17458-2_15

M3 - Conference contribution

AN - SCOPUS:78650827337

SN - 3642174574

SN - 9783642174575

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 170

EP - 183

BT - Combinatorial Optimization and Applications - 4th International Conference, COCOA 2010, Proceedings

T2 - 4th Annual International Conference on Combinatorial Optimization and Applications, COCOA 2010

Y2 - 18 December 2010 through 20 December 2010

ER -