Calculating self citation counts in DBLP using neo4j - neo4j

Question

I have imported the DBLP database with referenced publications from Crossref API into neo4j.
The goal is to calculate a self-citation-quotient for each author in the database.
The way I´d like to calculate this quotient is the following:
find authors that have written publications referencing another publication written by the same author
for each of these publications count the referenced publications written by the same author
divide amount of self references by the amount of all references
set this number as a parameter scq(self citation quotient) for the publication
sum all values of scq and divide them by the total amount of publications written by the author
set this value as a property scq for the Author
As an example I have the following sub-graph for the author "Danielle S. Bassett":
From the graph you can see that she has 2 publications that contain self-references.
In Words:
Danielle wrote Publication 1, 2, 3, 4
Publication 1 references publication 2
Publication 3 references publication 4
My attempt was to use the following cypher query:
match (a:Author{name:"Danielle S. Bassett"})-[:WROTE]->(p1:Publication)-[r:REFERENCES]->(p2:Publication)<-[:WROTE]-(a)
with count(p2) as ssc_per_publ,
count(p1) as main_publ_count,
collect(p2) as self_citations,
collect(p1) as main_publ,
collect(r) as refs,
a as author
return author, main_publ, ssc_per_publ, self_citations, main_publ_count, refs
The result of this query as a table looks like this:
As you can see from the table the main_publ_count is calculated correctly since there are 2 publications she has written that contain self references but the ssc_per_publ (self citation count per publication) is wrong because it counted ALL self references. But I need the count of self references for EACH PUBLICATION.
Calculating the quotients will not be the problem but getting the right values from neo4j is.
I hope I´ve expressed myself clearly enough for you to understand the issue.
Maybe someone of you knows a way of getting this right. Thanks!

Answer 1

Your WITH clause is using author as the sole aggregation function "grouping key", since it is the only term in that clause not using an aggregation function. So, all the aggregation functions in that clause are aggregating over just that one term.
To get a "self citation count" per publication (by that author), you'd have to do something like the following (for simplicity, this query ignores all the other counts and collections). author and publ together form the "grouping key" in this query.
MATCH (author:Author{name:"Danielle S. Bassett"})-[:WROTE]->
(publ:Publication)-[r:REFERENCES]->(p2:Publication)<-[:WROTE]-(a)
RETURN author, publ, COUNT(p2) as self_citation_count;
[Aside: your original query has other issues as well. For example, you should use COUNT(DISTINCT p1) as main_publ_count so that multiple self-citations to the same p1 instance will not inflate the count of "main" publications.]