Author

Bitjoka Laurent

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Preprint Jul 2026

Dimension and Order Bounds for Isometric Embeddings of Graphs into Abelian Cayley Graphs, and the Abelian Dividend

We investigate the minimum size of finite abelian Cayley graphs that admit an isometric embedding of a finite connected graph. While every connected graph on n vertices embeds isometrically into a binary Cayley graph of dimension at most n-1, the smallest possible abelian host has remained largely unexplored. We establ...

Fokam Souop Rigobert, Bitjoka Laurent · 6 citations · ⚡4

Preprint Jul 2026

Minimal Isometric Embeddings of Graphs into Cayley Graphs of Finite Abelian Groups

We study when, and how compactly, a finite connected graph (G) embeds isometrically into a Cayley graph of a finite abelian group. The classical theory of partial cubes answers this for isometric subgraphs of hypercubes through the Djokovic-Winkler relation (\theta); we extend the question to the full family of abelian...

Fokam Souop Rigobert, Bitjoka Laurent · 4 citations · ⚡2