Neo4j OSM Intersections and Spatial Graph Setup - neo4j

I've been trying to setup Neo4j for use as a routing engine, and this has lead to two questions (amongst others).
Main Question
When following the instructions from the README, after importing the OSM data, the next step is to identify intersections, as shown below:
MATCH (n:OSMNode)
WHERE size((n)<-[:NODE]-(:OSMWayNode)-[:NEXT]-(:OSMWayNode)) > 2
AND NOT (n:Intersection)
WITH n LIMIT 100
MATCH (n)<-[:NODE]-(wn:OSMWayNode), (wn)<-[:NEXT*0..100]-(wx),
(wx)<-[:FIRST_NODE]-(w:OSMWay)-[:TAGS]->(wt:OSMTags)
WHERE exists(wt.highway)
SET n:Intersection
RETURN count(*);
I haven't figured out how the >2 works in the second line, WHERE size((n)<-[:NODE]-(:OSMWayNode)-[:NEXT]-(:OSMWayNode)) > 2.
Can anyone explain how this works?
I think it filters for connections to a node, where an intersection should be more than 2 connections (because it has to have multiple roads there to "intersect"). However, if there's only 2 roads at an intersection (i.e., the streets keep the same name when passing through the intersection), there seems to be only 1 connection from each street to the node, thus giving exactly 2 connections and failing the check. I want to believe I am missing something trivial here...
Secondary Question
I've been combining instructions from the README with the demo to build a routing graph. I'm certain these instructions are complete...in some fashion.
Are there more clear or updated instructions for building a routing graph in Neo4j?
References:
Similar question
2018 Graph Talk
Github repo

The function size() returns the number of elements in a list.
https://neo4j.com/docs/cypher-manual/current/functions/scalar/#functions-size
What you mean would be the case if we only consider the following query:
size((n)<-[:NODE]-(:OSMWayNode)) > 2
This would only count the connected OSMWayNode and 'Street-Links' would be classified as intersections.
But because the next OSMWayNode appears in the list there can be multiple appereances for one [NODE] relation:
(n:OSMNode)<-[nr1:NODE]-(own1:OSMWayNode)-[wr1:NEXT]->(own2:OSMWayNode)
(n:OSMNode)<-[nr2:NODE]-(own3:OSMWayNode)-[wr2:NEXT]->(own4:OSMWayNode)
(n:OSMNode)<-[nr2:NODE]-(own3:OSMWayNode)<-[wr3:NEXT]-(own5:OSMWayNode)
(note that the [:NEXT]-relations are bidirectional in the query)
example of an intersection in munich
This shows two crossing roads leading to an intersection rather than a link

Related

NEO4J How to make graph with relationships

I am completely new to NEO4j and using it for the first time ever now for my masters program. Ive read the documentation and watched tutorials online but can’t seem to figure out how I can represent my nodes in the way I want.
I have a dataframe with 3 columns, the first represents a page name, the second also represents a page name, and the third represents a similarity score between those two pages. How can I create a graph in NEO4J where the nodes are my unique page names and the relationships between nodes are drawn if there is a similarity score between them (so if the sim-score is 0 they don’t draw a relationship)? I want to show the similarity score as the text of the relationship.
Furthermore, I want to know if there is an easy way to figure out which node had the most relationships to other nodes?
I’ve added a screenshot of the header of my DF for clarity https://imgur.com/a/pg0knh6. I hope anyone can help me, thanks in advance!
Edit: What I have tried
LOAD CSV WITH HEADERS FROM 'file:///wiki-small.csv' AS line
MERGE (p:Page {name: line.First})
MERGE (p2:Page {name: line.Second})
MERGE (p)-[r:SIMILAR]->(p2)
ON CREATE SET r.similarity = toFloat(line.Sim)
Next block to remove the similarities relationships which are 0
MATCH ()-[r:SIMILAR]->() WHERE r.Sim=0
DELETE r
This works partially. As in it gives me the correct structure of the nodes but doesn't give me the similarity scores as relationship labels. I also still need to figure out how I can find the node with the most connections.
For the first question:
How can I create a graph in NEO4J where the nodes are my unique page names and the relationships between nodes are drawn if there is a similarity score between them (so if the sim-score is 0 they don’t draw a relationship)?
I think a better approach is to remove in advance the rows with similarity = 0.0 before ingesting them into Neo4j. Could it be something feasible? If your dataset is not so big, I think it is very fast to do in Python. Otherwise the solution you provide of deleting after inserting the data is an option.
In case of a big dataset, maybe it's better if you load the data using apoc.periodic.iterate or USING PERIODIC COMMIT.
Second question
I want to know if there is an easy way to figure out which node had the most relationships to other nodes?
This is an easy query. Again, you can do it with play Cypher or using APOC library:
# Plain Cypher
MATCH (n:Page)-[r:SIMILAR]->()
RETURN n.name, count(*) as cat
ORDER BY cnt DESC
# APOC
MATCH (n:Page)
RETURN apoc.node.degree(n, "SIMILAR>") AS output;
EDIT
To display the similarity scores, in Neo4j Desktop or in the others web interfaces, you can simply: click on a SIMILARITY arrow --> on the top of the running cell the labels are shown, click on the SIMILAR label marker --> on the bottom of the running cell, at the right of Caption, select the property that you want to show (similarity in your case)
Then all the arrows are displayed with the similarity score
To the second question: I think you should keep a clear separation between the way you store data and the way you visualize it. Having the similarity score (a property of the SIMILARITY edge) as a "label" is something that is best dealt with by using an adequate viz library or platform. Ours (Graphileon) could be such a platform, although there are also others.
We offer the possibility to "style" the edges with so-called selectors like
"label":"(%).property.simScore" that would use the simScore as a label. On top of that you could do thing like
"width":"evaluate((%).properties.simScore < 0.500 ? 3 : 10)"
or
"fillColor":"evaluate((%).properties.simScore < 0.500 ? grey : red)"
to distinguish visually high simScores.
Full disclosure : I work for Graphileon.

Why so many db hit in neo4j?

There is total 1 Category node and 2 Template node in my case. I put an * in [*] to support more further scenarios. But why there are so many db hit in this cypher for current data?
It's probably the * in the relationship part of your query that's doing it.
While you've got only one Category node and two Template nodes, you've asked Neo4j to hop through any number of relationships to get from one to the other and not given it any help to narrow down the search besides specifying the starting node.
For example, if your Category was connected to 100,000 other nodes (of any label, not just Template) you've forced Neo4j to jump through every single one of them looking to see if there's a path to a Template node - and if those nodes have their own connections then they all need to be explored too, because the depth of the traversal isn't constrained.
If you know how Category and Template nodes can be connected in ways you're interested in (for example, if there's only every some specific set of relationships you want to traverse) then you'll radically improve the performance of the query. Equally, reducing the maximum length of the path will help.

How does the Minimum spanning tree in neo4j work

I am playing around with some graph theory algorithms in neo4j. I am trying to find the minimum spanning tree (mst) within my network. I synthetically created a network of 10 000 people. Each person has 12 relationship types each one linking him back to the other 9999 and each relationship with its own weight assigned.
The problem I have however is the fact that according to the definition the results must be a tree spanning over the ENTIRE network. The neo4j function however only returns a very small sub-graph (only about 12 nodes) of the entire network.
The code I am using looks like this:
MATCH (a:Name {Name:"Dillon Snow"})
CALL algo.mst(a,"Weight",{stats:true})
YIELD loadMillis, computeMillis, writeMillis, weightSum, weightMin, weightMax, relationshipCount
RETURN loadMillis, computeMillis, writeMillis, weightSum, weightMin, weightMax, relationshipCount
What can I change to get the function to return the mst spreading through the entire network
algo.mst.* has not been adapted to the matured Neo4j-Graph-Algorithms-CoreAPI in its current release (3.2.5.2/3.3.0.0 # Dec 2017) which might lead to unexpected results. But there is a pull request in the pipe, you can expect some changes in the next release.
Anyway.. The procedure should add a new relationship-type (default mst) to your nodes. In a connected graph each node should be connected as well while a disconnected graph leads to connections only between the nodes of this particular connected component (from your startNode).
If i understand you right you have multiple relationship types and more then one of them between a pair of nodes? E.g. Node A is connected to Node B with several relations, each of them with a different type and property value. This is a problem. In general the Graph-Algorithms-API does not support multible releationships. Each pair of nodes can only have one connection per direction. Although you can import multible types the core-api itself has no idea of the underlying type. If multible relationships between a pair of nodes get imported usualy the last one wins. This has been mentioned in the documentation ;)
To overcome this limitation you could replace your relationship types with some kind of artificial nodes. When traversing over the result tree the occurence of one of those nodes would indicate the original relationship.

Cypher: Find any path between nodes

I have a neo4j graph that looks like this:
Nodes:
Blue Nodes: Account
Red Nodes: PhoneNumber
Green Nodes: Email
Graph design:
(:PhoneNumber) -[:PART_OF]->(:Account)
(:Email) -[:PART_OF]->(:Account)
The problem I am trying to solve is to
Find any path that exists between Account1 and Account2.
This is what I have tried so far with no success:
MATCH p=shortestPath((a1:Account {accId:'1234'})-[]-(a2:Account {accId:'5678'})) RETURN p;
MATCH p=shortestPath((a1:Account {accId:'1234'})-[:PART_OF]-(a2:Account {accId:'5678'})) RETURN p;
MATCH p=shortestPath((a1:Account {accId:'1234'})-[*]-(a2:Account {accId:'5678'})) RETURN p;
MATCH p=(a1:Account {accId:'1234'})<-[:PART_OF*1..100]-(n)-[:PART_OF]->(a2:Account {accId:'5678'}) RETURN p;
Same queries as above without the shortest path function call.
By looking at the graph I can see there is a path between these 2 nodes but none of my queries yield any result. I am sure this is a very simple query but being new to Cypher, I am having a hard time figuring out the right solution. Any help is appreciated.
Thanks.
All those queries are along the right lines, but need some tweaking to make work. In the longer term, though, to get a better system to easily search for connections between accounts, you'll probably want to refactor your graph.
Solution for Now: Making Your Query Work
The path between any two (n:Account) nodes in your graph is going to look something like this:
(a1:Account)<-[:PART_OF]-(:Email)-[:PART_OF]->(ai:Account)<-[:PART_OF]-(:PhoneNumber)-[:PART_OF]->(a2:Account)
Since you have only one type of relationship in your graph, the two nodes will thus be connected by an indeterminate number of patterns like the following:
<-[:PART_OF]-(:Email)-[:PART_OF]->
or
<-[:PART_OF]-(:PhoneNumber)-[:PART_OF]->
So, your two nodes will be connected through an indeterminate number of intermediate (:Account), (:Email), or (:PhoneNumber) nodes all connected by -[:PART_OF]- relationships of alternating direction. Unfortunately to my knowledge (and I'd love to be corrected here), using straight cypher you can't search for a repeated pattern like this in your current graph. So, you'll simply have to use an undirected search, to find nodes (a1:Account) and(a2:Account) connected through -[:PART_OF]- relationships. So, at first glance your query would look like this:
MATCH p=shortestPath((a1:Account { accId: {a1_id} })-[:PART_OF*]-(a2:Account { accId: {a2_id} }))
RETURN *
(notice here I've used cypher parameters rather than the integers you put in the original post)
That's very similar to your query #3, but, like you said - it doesn't work. I'm guessing what happens is that it doesn't return a result, or returns an out of memory exception? The problem is that since your graph has circular paths in it, and that query will match a path of any length, the matching algorithm will literally go around in circles until it runs out of memory. So, you want to set a limit, like you have in query #4, but without the directions (which is why that query doesn't work).
So, let's set a limit. Your limit of 100 relationships is a little on the large side, especially in a cyclical graph (i.e., one with circles), and could potentially match in the region of 2^100 paths.
As a (very arbitrary) rule of thumb, any query with a potential undirected and unlabelled path length of more than 5 or 6 may begin to cause problems unless you're very careful with your graph design. In your example, it looks like these two nodes are connected via a path length of 8. We also know that for any two nodes, the given minimum path length will be two (i.e., two -[:PART_OF]- relationships, one into and one out of a node labelled either :Email or :PhoneNumber), and that any two accounts, if linked, will be linked via an even number of relationships.
So, ideally we'd set out our relationship length between 2 and 10. However, cypher's shortestPath() function only supports paths with a minimum length of either 0 or 1, so I've set it between 1 and 10 in the example below (even though we know that in reality, the shortest path have a length of at least two).
MATCH p=shortestPath((a1:Account { accId: {a1_id} })-[:PART_OF*1..10]-(a2:Account { accId: {a2_id} }))
RETURN *
Hopefully, this will work with your use case, but remember, it may still be very memory intensive to run on a large graph.
Longer Term Solution: Refactor Graph and/or Use APOC
Depending on your use case, a better or longer term solution would be to refactor your graph to be more specific about relationships to speed up query times when you want to find accounts linked only by email or phone number - i.e. -[:ACCOUNT_HAS_EMAIL]- and -[:ACCOUNT_HAS_PHONE]-. You may then also want to use APOC's shortest path algorithms or path finder functions, which will most likely return a faster result than using cypher, and allow you to be more specific about relationship types as your graph expands to take in more data.

Different results of two (synonymous) queries in Neo4j

I have identified that some queries happen to return less results than expected. I have taken one of the missing results and tried to force Neo4j to return this result - and I succeeded with the following query:
match (q0),(q1),(q2),(q3),(q4),(q5)
where
q0.name='v4' and q1.name='v3' and q2.name='v5' and
q3.name='v1' and q4.name='v3' and q5.name='v0' and
(q1)-->(q0) and (q0)-->(q3) and (q2)-->(q0) and (q4)-->(q0) and
(q5)-->(q4)
return *
I have supposed that the following query is semantically equivalent to the previous one. However in this case, Neo4j returns no result at all.
match (q1)-->(q0), (q0)-->(q3), (q2)-->(q0), (q4)-->(q0), (q5)-->(q4)
where
q0.name='v4' and q1.name='v3' and q2.name='v5' and
q3.name='v1' and q4.name='v3' and q5.name='v0'
return *
I have also manually verified that the required edges among vertices v0, v1, v3, v4 and v5 are present in the database with right directions.
Am I missing some important difference between these queries or is it just a bug of Neo4j? (I have tested these queries on Neo4j 2.1.6 Community Edition.)
Thank you for any advice
/EDIT: Updating to newest version 2.2.1 was of no help.
This might not be a complete answer, but here's what I found out.
These queries aren't synonymous, if I understand correctly.
First of all, use EXPLAIN (or even PROFILE) to look under the hood. The first query will be executed as follows:
The second query:
As you can see (even without going deep down), those are different queries in terms of both efficiency and semantics.
Next, what's actually going on here:
the 1st query will look through all (single) nodes, filter them by name, then - try to group them according to your pattern, which will involve computing Cartesian product (hence the enormous space complexity), then collect those groups into the larger ones, and then evaluate your other conditions.
the 2nd query will first pick a pair of nodes connected with some relationship (which satisfy the condition on the name property), then throw in the third node and filter again, ..., and so on till the end. The number of nodes is expected to decrease after every filter cycle.
By the way, is it possible that you accidentally set the same name twice (for q1 and q3?)

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