Is there any software that for drawing graphs (edges and nodes) that gives detailed maths data such as degree of each node, density of the graph and that can help with shortest path problem and with algorithms such as Dijkstra ?
Thanks!
Is there any software that for drawing graphs (edges and nodes) that gives detailed maths data such as degree of each node, density of the graph and that can help with shortest path problem and with algorithms such as Dijkstra ?
Thanks!
Gephi is a respectable package for network analysis. It can calculate the usual network measures, apply various filters, can draw graphs in various ways, and so on.
Here's an example of a network drawn by Gephi:

A very quick trip to Google showed me Graph Magic (an actual software) and graphdrawing (a group concerned with graph software, and that appears to have high standards and experience from their site), both of which look to be excellent and exactly what you ask.
For what it's worth, when I Felt Lucky, I went here.
I also found Cytoscape quite interesting. (also Mathematica from Wolfram)
try Graph Tea http://www.graphtheorysoftware.com/ this is more easier way to implement graph algorithms
This one help draw graph with vertex & edge, support weight / direction.
It also support to export as image or matrix.
You could try NS2 which is a network simulator. It will not give you proofs but can give you a simulation.