Geodesic
The primitive cohjugacy classes and the generalized homology group of finite graph
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 13, Tome 205 (1993), pp. 154-165

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The distribution of primitive conjugacy classes of the fundamental group of graphs in the first homology group of the graphs is studied in some special cases. Bibliography: 10 titles. 
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     title = {The primitive cohjugacy classes and the generalized homology group of finite graph},
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A. M. Nikitin. The primitive cohjugacy classes and the generalized homology group of finite graph. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 13, Tome 205 (1993), pp. 154-165. http://geodesic.mathdoc.fr/item/ZNSL_1993_205_a10/