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Random_tree_Generator

This Matlab program is written by Ali Khaledi-Nasab @Ohio_University Here we generate random tree networks using 4 different types of branchings. The main program is "Tree_Generator_main.m" Once you open this program, you can choose among 4 types of branchings.

  1. Full_Binary_Branching: The branching is m2=2 until generation 2, and it is either 0 or 2. The probability of zero branching is p0.

  2. General_Binary_Branching: The zero branching for the root is either 1 or 2, and for the rest, it is 0, 1, or 2. p(m1)=p0, p(m1)=p(m2)=(1-p0)/2

  3. Uniform_Branching: Zero branching is allowed after the second generation thus the branching at the root is (1-nd). For the rest, it is (0-nd). The branching is generated using uniform random numbers.

  4. Binomial_Branching: Zero branching is allowed after the second generation thus the branching at the root is (1-nd). For the rest, it is (0-nd). The branching is generated using Binomial random numbers with p=p0, and n=nd, B(nd,p0).

There are two more functions in the folder:

adjacency_matrix_generator: Generate the adjacency matrix for a given branching array,B, and the maximum allowed generation,ng.

Save_adjacency2file: will save a thee tree along with its total number of nodes and the total number of heminodes. as following :

node nh A(1,1) A(1,2) . . . A(1,n) A(2,1) . . . A(node,node)

The file name will be file_number.tree If you are interested to save the random trees, uncomment line 22 in the main program (Tree_Generator_main).

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