Geodesic
Branching structure and maximum degree of an~evolving random tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 312-319

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We introduce the concept of an evolving random tree. The proposed model is a combination of a preferential attachment model and a uniform model. We consider the branch structure and maximum degree of the evolving random tree, which can partially explain the robustness under random attack and the vulnerability to targeted attack in the world wide web.
Keywords: random recursive tree, scale-free graph, degree sequence. 
@article{TMF_2011_166_2_a9,
     author = {Zhimin Li},
     title = {Branching structure and maximum degree of an~evolving random tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {312--319},
     publisher = {mathdoc},
     volume = {166},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a9/}
}
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Zhimin Li. Branching structure and maximum degree of an~evolving random tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 312-319. http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a9/