图状对象的简化
Simplification for Graph-like Objects
AI总结：
本文将多重图到简单图的简化抽象为更一般的逗号范畴，指出简单对象范畴推广了函子结构范畴，并提出对偶化的“反简化”概念，表现为移除孤立顶点和松散边。
摘要：
在常见条件下，多重图到简单图的简化可抽象为更一般的逗号范畴。使用恒等函子时，逗号范畴中的简单对象范畴推广了函子结构范畴。用范畴论术语表述，简化可对偶化为“反简化”，表现为移除孤立顶点和松散边。
英文摘要：
The simplification of a multigraph into a simple graph can be abstracted to a more general comma category under some common conditions. When using the identity functor, the category of simple objects in a comma category generalizes the functor-structured category. Seated in categorical terms, simplification can be dualized to "antisimplification", which manifests as removal of isolated vertices and loose edges.
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。
