Click on File in the menu bar.

Choose Generate in the drop-down menu.

Choose Random Graph in the extended menu. You'll see the following pop-up window on the screen:

In the Number of nodes textbox, enter the number of nodes (n) that you want the random graph to have.

In the Wiring probability textbox, enter the probability (p), according to where you would like the edges to be added between different pairs of nodes in the random graph. A low wiring probability will result in a regular lattice. On the other hand, the higher the wiring probability is, the more random the resulting graph will be.

Click on OK. This generates...

To directly select a node and view its neighbors/adjacent nodes, click on the little arrow button towards the upper-left corner of the Graph panel, as shown in the following screenshot:

Navigate to the node that you want to highlight and place the arrow on the node. You will notice that the node on which you have placed the arrow, along with the neighboring nodes and the edges connecting them, has become highlighted while the other nodes are dimmed. This is shown in the following screenshot:

To select a node using rectangle selection, click on the button with the little rectangle depicted on it towards the upper-left corner of the Graph panel:

Place...

Click on the diamond-shaped button in the toolbar placed on the left-hand side of the Graph panel. The mouse pointer, when placed over it, should show a descriptor textbox that reads Sizer.

Click on the node that you want to resize and while holding the mouse button, drag the mouse vertically upwards or downwards. Dragging the mouse upwards will increase the size of the node and dragging it downwards will decrease the size.

If the resized node now hides a part of the graph that you otherwise want to continue looking at, click on the button in the same toolbar with a hand symbol on it. Placing the mouse pointer on this button should show up a descriptor textbox that reads Drag.

Now...

Click on the pencil-shaped button in the toolbar, placed vertically on the upper-left side of the edge of the Graph panel. When a mouse pointer is placed on the icon, it should show a descriptor textbox that reads Node Pencil.

In the upper-right corner of the Graph panel, choose the color that you would like to assign to the node and set the desired size for it.

Now, click on the area of the Graph panel where you want to place the new node. This will create a new node with the selected color and size, as shown in the following screenshot:

Click on the pencil-shaped button in the toolbar that is placed vertically on the upper-left...

Click on the button with an arrow and a question mark on it that is placed last on the toolbar located vertically on the upper-left edge of the Graph panel. When a mouse pointer is placed over this button, it should read Edit-Edit node attributes.

Now click on the node whose attributes you want to alter.

This opens a new panel titled Edit on the upper-left corner of the screen.

Click on the attribute(s) that you want to modify and assign new value(s).

Click on the button with an airplane symbol on it in the vertically placed left-hand side toolbar in the Graph panel. When placed over this button, the mouse pointer displays a descriptor textbox that reads Shortest Path.

Now click on the source node in the graph from where the path should start.

Select the target...

Load the Les Misérables graph in Gephi.

Click on the upward-pointing arrow located at the bottom-right corner of the Graph panel to expand a new panel.

In that panel, click on the Labels tab.

Check the checkbox located next to Nodes. This will display all the node labels.

The first button we will discuss defines how the edges will be colored. This is the button with a line segment and a mini-rainbow-like structure as its icon placed at the fourth position in the horizontal toolbar located towards the bottom of the Graph panel. Hovering the mouse pointer on top of it should show a descriptor textbox that reads Edges have source node color.

When toggled on, this will result in the edges taking the...

Click on the upward-pointing arrow located in the bottom-right corner of the Graph panel to expand a new toolbar with four tabs: Global, Nodes, Edges, and Labels.

Click on the Global tab.

Click on the button next to Background Color to open a color palette window where you can select the background for the graph.

The Autoselect neighbor checkbox is used to turn the toggle on and off for selecting the neighbors when a node is selected.

Move the Zoom slider back and forth to zoom-in and zoom-out of the graph...