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Journal of Shanghai University >

2014 , Vol. 20 >Issue 6: 749 - 756

DOI: https://doi.org/10.3969/j.issn.1007-2861.2014.01.010

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Birth-Death Branching Tree with Nodes Being Multiparous

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  • 1. College of Sciences, Shanghai University, Shanghai 200444, China;2. Shanghai Lixin University of Commerce, Shanghai 201620, China

Received date: 2013-10-10

  Online published: 2014-12-23

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Abstract

It is assumed that only one son-node is born in each delivery in the model of Markov birth-death branching tree. This paper assumed that the number of son-nodes born in each delivery is a random variable, and develop a model of birth-death branching tree with nodes being multiparous. Existence of this model is shown. We study the numbers of living nodes, dead nodes, connected components, son-nodes of any node at any age, and son-nodes at dying moment.

Key words： birth-death branching tree; branching process; Markov process; random graph

Cite this article

WANG Jia-Yuan-1, FU Yun-Bin-1, 2 . Birth-Death Branching Tree with Nodes Being Multiparous[J]. Journal of Shanghai University, 2014 , 20(6) : 749 -756 . DOI: 10.3969/j.issn.1007-2861.2014.01.010

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