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Author

Gete Umbrey

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Open access Sep 2026

Maximal Cliques as a Normal Form in the Algebra of Graphs: Compression by Modular Decomposition and an Enumeration Algorithm

The finite simple graphs with vertices in a set S form an algebra G(S) under union and join, generated by the one-vertex graphs. We show that this algebra has a canonical normal form whose data are exactly the maximal cliques of the graph. Precisely, every g∈G(S) admits a unique maximal-clique decomposition μ(g), chara...

B. Sarma, Gete Umbrey, M. Enduri · 0 citations

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