Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A network is said to be g -conditionally faulty if its every vertex has at least g fault-free neighbors, where g ? 1 . An n -dimensional folded hypercube F Q n is a ll-known variation of an n -dimensional hypercube Q n , which can be constructed from Q n by adding an edge to every pair of vertices with complementary addresses. F Q n for any odd n is known to be bipartite. , let F F v denote the set of faulty vertices in F Q n , and let F F Q n ( e ) denote the set of faulty vertices which are incident to the end-vertices of any fault-free edge e ? E ( F Q n ) . Then, under the 4-conditionally faulty and | F F Q n ( e ) | ? n - 3 ,  consider for the vertex-fault-tolerant cycles embedding properties in F Q n - F F v , as follows: 1.For n ? 4 , F Q n - F F v contains a fault-free cycle of every even length from 4 to 2 n - 2 | F F v | , where | F F v | ? 2 n - 7 ;2.For n ? 4 being even, F Q n - F F v contains a fault-free cycle of every odd length from n + 1 to 2 n - 2 | F F v | - 1 , where | F F v | ? 2 n - 7 .
['Che-Nan Kuo']
I am writing a research paper on a idea Vertex-fault-tolerant cycles embedding in 4-conditionally faulty folded hypercubes
[{"from": "human", "value": "I am writing a research paper on a idea Vertex-fault-tolerant cycles embedding in 4-conditionally faulty folded hypercubes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A network is said to be g -conditionally faulty if its every vertex has at least g fault-free neighbors, where g ? 1 . An n -dimensional folded hypercube F Q n is a ll-known variation of an n -dimensional hypercube Q n , which can be constructed from Q n by adding an edge to every pair of vertices with complementary addresses. F Q n for any odd n is known to be bipartite. , let F F v denote the set of faulty vertices in F Q n , and let F F Q n ( e ) denote the set of faulty vertices which are incident to the end-vertices of any fault-free edge e ? E ( F Q n ) . Then, under the 4-conditionally faulty and | F F Q n ( e ) | ? n - 3 ,  consider for the vertex-fault-tolerant cycles embedding properties in F Q n - F F v , as follows: 1.For n ? 4 , F Q n - F F v contains a fault-free cycle of every even length from 4 to 2 n - 2 | F F v | , where | F F v | ? 2 n - 7 ;2.For n ? 4 being even, F Q n - F F v contains a fault-free cycle of every odd length from n + 1 to 2 n - 2 | F F v | - 1 , where | F F v | ? 2 n - 7 ."}]