Geodesic
An Approach to the Study of Finitely Presented Groups Based on the Notion of Discrete Curvature
Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 568-575.

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A sufficient condition for the hyperbolicity of a group presented in terms of generators and defining relations is considered. The condition is formulated in terms of the negativity of a discrete analog of curvature for the Lyndon–van Kampen diagrams over a presentation of a group and is a generalization of the small cancellation condition.
Keywords: finitely presented group, hyperbolic group. 
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I. G. Lysenok. An Approach to the Study of Finitely Presented Groups Based on the Notion of Discrete Curvature. Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 568-575. http://geodesic.mathdoc.fr/item/MZM_2018_103_4_a7/

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