The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices
Keyword(s):
We consider an inhomogeneous growing network with two types of vertices. The degree sequences of two different types of vertices are investigated, respectively. We not only prove that the asymptotical degree distribution of typesfor this process is power law with exponent2+1+δqs+β1-qs/αqs, but also give the strong law of large numbers for degree sequences of two different types of vertices by using a different method instead of Azuma’s inequality. Then we determine asymptotically the joint probability distribution of degree for pairs of adjacent vertices with the same type and with different types, respectively.
2019 ◽
Vol 377
(2157)
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pp. 20190033
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2019 ◽
Vol 75
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pp. 142-157
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2019 ◽
Vol 75
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pp. I_31-I_36
2001 ◽
Vol 120
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pp. 499-503
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2000 ◽
Vol 50
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pp. 357-363
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1955 ◽
Vol 41
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pp. 586-587
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2016 ◽
Vol 45
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pp. 6209-6222
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1995 ◽
Vol 51
(6)
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pp. 820-825
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