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arXiv · 2607.10919

Diffusion of tacit knowledge in a company: a mathematical model based on diffusion on graphs

Radosław A. Kycia·Agnieszka Niemczynowicz·Andrzej Buszko
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Abstract

This article is devoted to the process of diffusing tacit knowledge. This intangible asset has proven crucial for achieving a competitive advantage among market-oriented companies. A novel model of tacit knowledge diffusion is presented, employing the concept of heat diffusion from physics. Furthermore, graph theory and the dynamics it defines are utilized. We defined a Tacit Knowledge Transfer Graph that encodes data from questionnaires. It enables us to identify employees' learning needs, allowing for the planning of classes within the same period, such as a day, to schedule them optimally. Moreover, the model can be used to identify employees with high knowledge demands. The application is not limited to companies; a simple example of planning classes in a school/university is provided. The presented model can help with optimal scheduling, enhance operational efficiency, and improve talent management within the company. It can also identify risks associated with critical sources of knowledge and help improve organizational culture and knowledge management policy.

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Radosław A. Kycia, Agnieszka Niemczynowicz, Andrzej Buszko. 2026-07-12. Diffusion of tacit knowledge in a company: a mathematical model based on diffusion on graphs. https://doi.org/10.1108/jkm-10-2025-1431

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