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I'm writing a python application that will make heavy use of a graph data structure. Nothing horribly complex, but I'm thinking of some sort of graph/graph-algorithms library would help me out. I've googled around, but I don't find anything that particularly leaps out at me.

Does anyone have any good recommendations?

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There are many choices for your application which are as follows:

NetworkX:-

NetworkX can be used for making your application in a Python package for the creation, manipulation, and the study of the structure, dynamics, and functions of complex networks.

Igraph:-

Igraph is a collection of network analysis tools with the emphasis on efficiency, portability and ease of use. igraph is open source and free. igraph can be programmed in R, Python, Mathematica and C/C++

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