g.inject(1).union(V().has('property1', 'vertex1').as('v1').union(outE().has('property1', 'edge1').as('e').inV().has('property1', 'vertex1'),outE().has('property1', 'edge2').as('e').inV().has('property1', 'vertex2')).as('v2'),V().has('property1', 'vertex3').as('v1').union(outE().has('property1', 'edge3').as('e').inV().has('property1', 'vertex2'),outE().has('property1', 'Component_Of').as('e').inV().has('property1', 'vertex1')).as('v2')).limit(100).select('v1','e','v2').by(valueMap().by(unfold()))

This query is returning 100 results of the form (v1,e,v2) and the time taken is in milliseconds.

 Rather than returning 100 results of (v1,e,v2) form, need to return 100 edges of each type. The query is as follows: 

//Query1

// 2mins vertex1:77, edge1: 36, edge2: 5, vertex2: 105, vertex3: 100, edge3: 100

g.inject(1).union(V().has('property1', 'vertex1').as('v1').union(outE().has('property1', 'edge1').limit(100).as('e').inV().has('property1', 'vertex1'),outE().has('property1', 'edge2').limit(100).as('e').inV().has('property1', 'vertex2')).as('v2'),V().has('property1', 'vertex3').as('v1').union(outE().has('property1', 'edge3').limit(100).as('e').inV().has('property1', 'vertex2'),outE().has('property1', 'Component_Of').limit(100).as('e').inV().has('property1', 'vertex1')).as('v2')).select('v1','e','v2').by(valueMap().by(unfold()))

But this takes 2 mins to execute which is not optimal. Tried some other approaches.

//Query2

// 2mins vertex1:77, edge1: 36, edge2: 5, vertex2: 105, vertex3: 100, edge3: 100

g.inject(1).union(V().has('property1', 'vertex1').as('v1').union(outE().has('property1', 'edge1').as('e').inV().has('property1', 'vertex1').limit(100),outE().has('property1', 'edge2').as('e').inV().has('property1', 'vertex2').limit(100)).as('v2'),V().has('property1', 'vertex3').as('v1').union(outE().has('property1', 'edge3').as('e').inV().has('property1', 'vertex2').limit(100),outE().has('property1', 'Component_Of').as('e').inV().has('property1', 'vertex1').limit(100)).as('v2')).select('v1','e','v2').by(valueMap().by(unfold()))

//Query3

// 529 ms vertex1:77, edge1: 36, edge2: 5, vertex2: 105, vertex3: 100, edge3: 100

g.inject(1).union(V().has('property1', 'vertex1').as('v1').union(outE().has('property1', 'edge1').as('e').inV().has('property1', 'vertex1'),outE().has('property1', 'edge2').as('e').inV().has('property1', 'vertex2')).limit(100).as('v2'),V().has('property1', 'vertex3').as('v1').union(outE().has('property1', 'edge3').as('e').inV().has('property1', 'vertex2'),outE().has('property1', 'Component_Of').as('e').inV().has('property1', 'vertex1')).limit(100).as('v2')).select('v1','e','v2').by(valueMap().by(unfold()))

//Query3

// 18 sec vertex1:77, edge1: 36, edge2: 5, vertex2: 105, vertex3: 100, edge3: 100

g.inject(1).union(V().has('property1', 'vertex1').as('v1').outE().has('property1', 'edge1').as('e').inV().has('property1', 'vertex1').
limit(100).as('v2'),V().has('property1', 'vertex1').as('v1').outE().has('property1', 'edge2').as('e').inV().has('property1', 'vertex2').
limit(100).as('v2'),V().has('property1', 'vertex3').as('v1').outE().has('property1', 'edge3').as('e').inV().has('property1', 'vertex2').
limit(100).as('v2'),V().has('property1', 'vertex3').as('v1').outE().has('property1', 'Component_Of').as('e').inV().has('property1', 'vertex1').
limit(100).as('v2')).select('v1','e','v2').by(valueMap().by(unfold()))

//Query4

// 18 sec vertex1:77, edge1: 36, edge2: 5, vertex2: 105, vertex3: 100, edge3: 100

g.inject(1).union(V().has('property1', 'vertex1').as('v1').outE().has('property1', 'edge1').limit(100).as('e').
inV().has('property1', 'vertex1').as('v2'),V().has('property1', 'vertex1').as('v1').outE().
has('property1', 'edge2').limit(100).as('e').inV().has('property1', 'vertex2').as('v2'),V().has('property1', 'vertex3').
as('v1').outE().has('property1', 'edge3').limit(100).as('e').inV().has('property1', 'vertex2').as('v2'),
V().has('property1', 'vertex3').as('v1').outE().has('property1', 'Component_Of').
limit(100).as('e').inV().has('property1', 'vertex1').as('v2')).select('v1','e','v2').by(valueMap().by(unfold()))

Query3 performs better, but when the limit changes it doesn't return the expected result as shown in the following queries: Query7 is equivalent to Query3, just limit is changed.

//Query5

// 2mins vertex1:25, edge1: 10, edge2: 5, vertex2: 15, vertex3: 10, edge3: 10

g.inject(1).union(V().has('property1', 'vertex1').as('v1').union(outE().has('property1', 'edge1').limit(10).as('e').inV().has('property1', 'vertex1'),outE().has('property1', 'edge2').limit(10).as('e').inV().has('property1', 'vertex2')).as('v2'),V().has('property1', 'vertex3').as('v1').union(outE().has('property1', 'edge3').limit(10).as('e').inV().has('property1', 'vertex2'),outE().has('property1', 'Component_Of').limit(10).as('e').inV().has('property1', 'vertex1')).as('v2')).select('v1','e','v2').by(valueMap().by(unfold()))

//Query6

// 2mins vertex1:25, edge1: 10, edge2: 5, vertex2: 15, vertex3: 10, edge3: 10

g.inject(1).union(V().has('property1', 'vertex1').as('v1').union(outE().has('property1', 'edge1').as('e').inV().has('property1', 'vertex1').limit(10),outE().has('property1', 'edge2').as('e').inV().has('property1', 'vertex2').limit(10)).as('v2'),V().has('property1', 'vertex3').as('v1').union(outE().has('property1', 'edge3').as('e').inV().has('property1', 'vertex2').limit(10),outE().has('property1', 'Component_Of').as('e').inV().has('property1', 'vertex1').limit(10)).as('v2')).select('v1','e','v2').by(valueMap().by(unfold()))

//Query7

// 278 ms vertex1:18, edge1: 8, edge2: 2, vertex2: 12, vertex3: 10, edge3: 10

g.inject(1).union(V().has('property1', 'vertex1').as('v1').union(outE().has('property1', 'edge1').as('e').inV().has('property1', 'vertex1'),outE().has('property1', 'edge2').as('e').inV().has('property1', 'vertex2')).limit(10).as('v2'),V().has('property1', 'vertex3').as('v1').union(outE().has('property1', 'edge3').as('e').inV().has('property1', 'vertex2'),outE().has('property1', 'Component_Of').as('e').inV().has('property1', 'vertex1')).limit(10).as('v2')).select('v1','e','v2').by(valueMap().by(unfold()))

//Query8

// 18 sec vertex1:25, edge1: 10, edge2: 5, vertex2: 15, vertex3: 10, edge3: 10

g.inject(1).union(V().has('property1', 'vertex1').as('v1').outE().has('property1', 'edge1').as('e').inV().has('property1', 'vertex1').
limit(10).as('v2'),V().has('property1', 'vertex1').as('v1').outE().has('property1', 'edge2').as('e').inV().has('property1', 'vertex2').
limit(10).as('v2'),V().has('property1', 'vertex3').as('v1').outE().has('property1', 'edge3').as('e').inV().has('property1', 'vertex2').
limit(10).as('v2'),V().has('property1', 'vertex3').as('v1').outE().has('property1', 'Component_Of').as('e').
inV().has('property1', 'vertex1').limit(10).as('v2')).select('v1','e','v2').by(valueMap().by(unfold()))

Also, the limit doesn't affect the time taken to execute the query. It's constant for both the limits. 

Request you share your view and help me to solve the problem in an efficient way.

Thanks & Regards,

Vinayak