Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Simulation of the Electron Tunneling Paths in Networks of Nano-particle Films
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Physics Based Algorithms for Sparse Graph Visualization
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
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We present new algorithm for growth of non-clustered planar graphs by aggregation of cells with given distribution of size and constraint of connectivity k = 3 per node. The emergent graph structures are controlled by two parameters—chemical potential of the cell aggregation and the width of the cell size distribution. We compute several statistical properties of these graphs—fractal dimension of the perimeter, distribution of shortest paths between pairs of nodes and topological betweenness of nodes and links. We show how these topological properties depend on the control parameters of the aggregation process and discuss their relevance for the conduction of current in self-assembled nanopatterns.