Search Results for author: Ali Shakiba

Found 3 papers, 1 papers with code

Correlation Clustering Algorithm for Dynamic Complete Signed Graphs: An Index-based Approach

1 code implementation1 Jan 2023 Ali Shakiba

In this paper, we reduce the complexity of approximating the correlation clustering problem from $O(m\times\left( 2+ \alpha (G) \right)+n)$ to $O(m+n)$ for any given value of $\varepsilon$ for a complete signed graph with $n$ vertices and $m$ positive edges where $\alpha(G)$ is the arboricity of the graph.

Clustering Graph Clustering

Online Correlation Clustering for Dynamic Complete Signed Graphs

no code implementations13 Nov 2022 Ali Shakiba

Our results show that the dynamic operations have local effects on the neighboring vertices and we employ this locality to reduce the dependency of the running time in the Baseline to the summation of the degree of all vertices in $G_t$, the graph after applying the graph edit operation at time step $t$, to the summation of the degree of the changing vertices (e. g. two endpoints of an edge) and the number of clusters in the previous time step.

Clustering

Cannot find the paper you are looking for? You can Submit a new open access paper.