Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  propose a honeycomb mesh variation, called a spider b network. Assume that m and n are positive even integers with m>=4. A spider b network SW(m,n) is a 3-regular bipartite planar graph with bipartition C and D.  prove that the honeycomb rectangular mesh HREM(m,n) is a spanning subgraph of SW(m,n).  also prove that SW(m,n)-e is hamiltonian for any e@?E and SW(m,n)-{c,d} remains hamiltonian for any c@?C and d@?D. These hamiltonian properties are optimal.
['Shin-Shin Kao', 'Lih-Hsing Hsu']
I am writing a research paper on a idea Spider web networks: a family of optimal, fault tolerant, hamiltonian bipartite graphs
[{"from": "human", "value": "I am writing a research paper on a idea Spider web networks: a family of optimal, fault tolerant, hamiltonian bipartite graphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  propose a honeycomb mesh variation, called a spider b network. Assume that m and n are positive even integers with m>=4. A spider b network SW(m,n) is a 3-regular bipartite planar graph with bipartition C and D.  prove that the honeycomb rectangular mesh HREM(m,n) is a spanning subgraph of SW(m,n).  also prove that SW(m,n)-e is hamiltonian for any e@?E and SW(m,n)-{c,d} remains hamiltonian for any c@?C and d@?D. These hamiltonian properties are optimal."}]