Geodesic
The Degree Distribution of Thickened Trees
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science (2008).

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We develop a combinatorial structure to serve as model of random real world networks. Starting with plane oriented recursive trees we substitute the nodes by more complex graphs. In such a way we obtain graphs having a global tree-like structure while locally looking clustered. This fits with observations obtained from real-world networks. In particular we show that the resulting graphs are scale-free, that is, the degree distribution has an asymptotic power law. 
@article{DMTCS_2008_special_254_a7,
     author = {Drmota, Michael and Gittenberger, Bernhard and Panholzer, Alois},
     title = {The {Degree} {Distribution} of {Thickened} {Trees}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science},
     year = {2008},
     doi = {10.46298/dmtcs.3561},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3561/}
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Drmota, Michael; Gittenberger, Bernhard; Panholzer, Alois. The Degree Distribution of Thickened Trees. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science (2008). doi : 10.46298/dmtcs.3561. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3561/

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