Geodesic
Regular Partitions of Regular Graphs
Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 177-181

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In the study of the combinatorial structure of edge-graphs of convex polytopes one may ask whether a given graph possesses a partition consisting of certain kinds of subgraphs.In this paper we describe some special partitions of 3-valent and 4-valent graphs. These partitions can serve as examples for a type of partially ordered structures, called polystromas, which have recently been considered by Griinbaum [3]. 
Kleinschmidt, Peter. Regular Partitions of Regular Graphs. Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 177-181. doi: 10.4153/CMB-1978-030-4
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     title = {Regular {Partitions} of {Regular} {Graphs}},
     journal = {Canadian mathematical bulletin},
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     year = {1978},
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     number = {2},
     doi = {10.4153/CMB-1978-030-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-030-4/}
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