Did you mean: A Fast Algorithm for the Principal Partition of a Graph.
In this paper we present a new approach for finding the principal partition of a graph. G(V,E). Our approach might be distinguished from earlier ones by the ...
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May 31, 2005 · We present an O(¦ E ¦2¦ V ¦ log ¦ V ¦) algorithm for the construction of the principal partition of a graph.
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We consider the following problem: given an undirected weighted graph G = (V,E,c) with nonnegative weights, minimize function c(δ(s ))−λ|s | for all values ...
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To learn more. Will be split into two papers: numerical and combinatorial available mid-July. My lecture notes for. Spectral Graph Theory and its Applications.
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A randomized extension-rotation algorithm is presented to partition an undirected graph G=(V,E) into vertex disjoint paths of fixed length.
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Jun 15, 2023 · Fast Algorithms for Directed Graph Partitioning Using Flows and Reweighted Eigenvalues. We consider a new semidefinite programming relaxation ...
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The current best known algorithm for this problem has complexity O(|V|2) maximum flow computations. We improve it to |V| parametric maximum flow computations.
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Sep 8, 2024 · This provides a primal-dual flow-based framework to obtain the best known algorithms for directed graph partitioning. The same approach also ...
Jul 1, 2024 · Graph partitioning is the process of dividing a graph into smaller subgraphs while minimizing the number of edges connecting these subgraphs.
While many theoretical approximation algorithms exist for graph partitioning, they often rely on multicommodity-flow computations that run quadratic time in the ...