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arXiv · 0910.0695

Statistics on Graphs, Exponential Formula and Combinatorial Physics

L. Poinsot·G. H. E. Duchamp·S. Goodenough·K. A. Penson
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Abstract

The concern of this paper is a famous combinatorial formula known under the name "exponential formula". It occurs quite naturally in many contexts (physics, mathematics, computer science). Roughly speaking, it expresses that the exponential generating function of a whole structure is equal to the exponential of those of connected substructures. Keeping this descriptive statement as a guideline, we develop a general framework to handle many different situations in which the exponential formula can be applied.

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L. Poinsot, G. H. E. Duchamp, S. Goodenough, K. A. Penson. 2009-10-05. Statistics on Graphs, Exponential Formula and Combinatorial Physics. https://arxiv.org/abs/0910.0695

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