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With the project I'm currently working on I need to calculate how much the total length of the network increases as I expand it from one node to the next. I have the road network as a line layer (32673 features) and nodes on the road network as a point layer (3461 features). A segment of these layers as viewed on QGIS is as follows:

A segment of my line and point layers

As part of this project what I need to do is similar to v.net.allpairs in GRASS GIS but instead of a distance matrix connecting every combination of pairs on the network what I need is to connect pairs of adjacent (nearest) points along the network and find the length of each connection. I'm open to suggestions using any type of open source GIS software but prefer QGIS or GRASS GIS.

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