Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Phylogenetic networks are mathematical structures for modeling and visualization of reticulation processes in the study of evolution. Galled networks, reticulation visible networks, nearly-stable networks and stable-child networks are the four classes of phylogenetic networks that are recently introduced to study the topological and algorithmic aspects of phylogenetic networks.  prove the following results. #R##N#(1) A binary galled network with n leaves has at most 2(n-1) reticulation nodes. (2) A binary nearly-stable network with n leaves has at most 3(n-1) reticulation nodes. (3) A binary stable-child network with n leaves has at most 7(n-1) reticulation nodes.
['Andreas D. M. Gunawan', 'Louxin Zhang']
I am writing a research paper on a idea Bounding the Size of a Network Defined By Visibility Property
[{"from": "human", "value": "I am writing a research paper on a idea Bounding the Size of a Network Defined By Visibility Property"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Phylogenetic networks are mathematical structures for modeling and visualization of reticulation processes in the study of evolution. Galled networks, reticulation visible networks, nearly-stable networks and stable-child networks are the four classes of phylogenetic networks that are recently introduced to study the topological and algorithmic aspects of phylogenetic networks.  prove the following results. #R##N#(1) A binary galled network with n leaves has at most 2(n-1) reticulation nodes. (2) A binary nearly-stable network with n leaves has at most 3(n-1) reticulation nodes. (3) A binary stable-child network with n leaves has at most 7(n-1) reticulation nodes."}]