MATCH (u:User)-[r:AdminTo|MemberOf*1..]->(c:Computer
RETURN u.name

That’ll return a list of users who have admin rights on at least one system either explicitly or through group membership
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MATCH 
(U:User)-[r:MemberOf|:AdminTo*1..]->(C:Computer)
WITH
U.name as n,
COUNT(DISTINCT(C)) as c 
RETURN n,c
ORDER BY c DESC
LIMIT 5

Return username and number of computers that username is admin for, for top N users

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MATCH 
(G:Group)-[r:MemberOf|:AdminTo*1..]->(C:Computer)
WITH
G.name as n,
COUNT(DISTINCT(C)) as c 
RETURN n,c
ORDER BY c DESC
LIMIT 5

Return group and number of computers that group is admin for, for top N groups

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MATCH 
(U:User)-[r:MemberOf|:AdminTo*1..]->(C:Computer)
WITH
U.name as n,
COUNT(DISTINCT(C)) as c 
WHERE c>1
RETURN n
ORDER BY c DESC

Show all users that are administrator on more than one machine

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MATCH (u:User)
WITH u
OPTIONAL MATCH (u)-[r:AdminTo]->(c:Computer)
WITH u,COUNT(c) as expAdmin
OPTIONAL MATCH (u)-[r:MemberOf*1..]->(g:Group)-[r2:AdminTo]->(c:Computer)
WHERE NOT (u)-[:AdminTo]->(c)
WITH u,expAdmin,COUNT(DISTINCT(c)) as unrolledAdmin
RETURN u.name,expAdmin,unrolledAdmin,expAdmin + unrolledAdmin as totalAdmin
ORDER BY totalAdmin ASC

Show all users that are administrative on at least one machine, ranked by the number of machines they are admin on.

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MATCH p=((S:Computer)-[r:HasSession*1]->(T:User)) 
WHERE NOT S.domain = T.domain
RETURN p

This will return cross domain 'HasSession' relationships

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MATCH p=(m:Group)-[r:Owns|:WriteDacl|:GenericAll|:WriteOwner|:ExecuteDCOM|:GenericWrite|:AllowedToDelegate|:ForceChangePassword]->(n:Computer) WHERE m.name STARTS WITH ‘DOMAIN USERS’ RETURN p

Find all other Rights Domain Users shouldn't have

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MATCH (n:User)-[r:MemberOf]->(g:Group) WHERE g.highvalue=true AND n.hasspn=true RETURN n, g, r

Show Kerberoastable high value targets

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MATCH (c:Computer) WITH c 
OPTIONAL MATCH (n)-[r:AdminTo]->(c) WITH c,COUNT(n) as expAdmins 
OPTIONAL MATCH (n)-[r:MemberOf*1..]->(g:Group)-[r2:AdminTo]->(c) WITH c,expAdmins,COUNT(DISTINCT(n)) as unrolledAdmins 
RETURN SPLIT(c.name,'.')[0],expAdmins,unrolledAdmins,expAdmins + unrolledAdmins as totalAdmins ORDER BY totalAdmins DESC

Return each computername with the number of admins on that machine

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MATCH (c:Computer {domain:'$DOMAINNAME$'}) WITH c
OPTIONAL MATCH (n)-[r:AdminTo]->(c) WITH c,COUNT(n) as expAdmins
OPTIONAL MATCH (n)-[r:MemberOf*1..]->(g:Group)-[r2:AdminTo]->(c)
WITH c,expAdmins,COUNT(DISTINCT(n)) as unrolledAdmins
RETURN SPLIT(c.name,'.')[0],expAdmins,unrolledAdmins,expAdmins + unrolledAdmins as totalAdmins
ORDER BY totalAdmins DESC

Return each computername with the number of admins on that machine for a specific domain

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MATCH (n)
MATCH (t {name: "<some_node>"})
MATCH p = allshortestPaths((n)-[*1..10]->(t))
WHERE NONE(node IN nodes(p) WHERE node.highvalue = true) AND NOT n = t
RETURN p

this will search for the paths to a target node and exclude paths that go through any node with the highvalue property set to true

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