图的统计、指数公式与组合物理
Statistics on Graphs, Exponential Formula and Combinatorial Physics
摘要：
本文所研究的是一个著名的组合公式，称为“指数公式”。它在许多情况下（物理、数学、计算机科学）都很自然地发生。粗略地说，它表示整个结构的指数母函数等于连接的子结构的指数母函数。保持这种描述性的声明作为指导方针，我们开发了一个通用的框架，以处理许多不同的情况下，指数公式可以应用。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
