Efficiently importing data into Mathematica

Question

I have a graph data file infile.txt.

3 2 0 1 1 2
3 2 0 1 2 1
3 2 1 0 1 2
3 3 0 1 1 0 1 2
3 3 0 1 1 0 2 1
3 4 0 1 1 0 1 2 2 1

In this file, each row corresponds to a digraph in the following way:

• The first number is the number of vertices in this digraph;
• The second number is the number of arcs in this digraph;
• Remaining numbers represent arc in pairs.

For example, the last row in the given file corresponds to a digraph with 3 vertices and 4 arcs, and arcs are $(0,1)$,$(1,0)$,$(1,2)$,$(2,1)$.

I want to import it into Mathematica and construct a list of graphs accordingly. And my solution is:

mylist=Import["/path/to/infile.txt","Table"];
mylist=Drop[#,2]&/@mylist;
glist=Graph[DirectedEdge@@@Partition[#,2]]&/@mylist

My method is OK with small files. However, it is extremely slow when the input file is large. But I need to deal with large files a lot. So my questions are

1. How to input such large files efficiently? ReadList seems to be good option. But how to read the file row by row?

2. What is best importing format for constructing a list of graphs, number, string or something else?

3. Are there other ways to construct the list of graph efficiently from a list given above?

Update: Following are the running times for a file with 531441 rows.

AbsoluteTiming[mylist=Import["infile.txt","Table"];]
{20.3156, Null}

And the method suggested by @RunnyKine gives

AbsoluteTiming[mylist=ReadList["infile.txt", Number, RecordLists -> True];]
{4.45186, Null}

That's really a big improvement.
The input file (around 35MB) is available from this link.

Answer 1

The following should be fast enough:

myList = ReadList["infile.txt", Number, RecordLists -> True]; // AbsoluteTiming

{4.64517, Null}