We examine the role of count conservation when derived network matrices are obtained from linked network matrices using an outer product decomposition. It is seen that a full counting operation conserves the count of pathways between nodal variables while a fractional counting operation conserves the count of the nodal variable. We use the cases of co-referencing (bibliographic coupling) and co-citation with a simple citation network to illustrate the ideas.

中文翻译：

---

给编辑的信：对 Batagelj 论文的评论——关于对链接网络进行分析的分数方法

当使用外积分解从链接网络矩阵获得派生网络矩阵时，我们检查计数守恒的作用。可以看出，完整计数操作保存了节点变量之间的路径计数，而分数计数操作保存了节点变量的计数。我们使用共同引用（书目耦合）和共同引用的案例与一个简单的引文网络来说明这些想法。