Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Network decontamination is studied on a k-dimensional torus (n 1  × … × n k ), with k ≥ 1 and 2 ≤ n 1  ≥ k … n k . The decontamination is done by a set of agents moving on the net according to a new cleaning model. After an agent leaves from a vertex, this vertex remains uncontaminated as long asmneighbors are uncontaminated.  propose algorithms valid for any m ≤ 2k (i.e., up to the vertex degree), proving that A(k, m) synchronous agents suffice, with: A(k, 0) = 1; A(k, m) = 2 m−1 , for 1 ≤ m ≤ k + 1; A(k, m) = 2 2k−m+1  n 1  n 2  … n m−k−1 , for k + 2 ≤ m ≤ 2k.  also study the total number M(k, m) of agent moves, and prove matching lor bounds on A(k, m) and M(k, m) valid form = 3 and any k, and for allm ≥ k+1. Our study can be simply extended to asynchronous functioning.
['Fabrizio Luccio', 'Linda Pagli']
I am writing a research paper on a idea A general approach to toroidal mesh decontamination with local immunity
[{"from": "human", "value": "I am writing a research paper on a idea A general approach to toroidal mesh decontamination with local immunity"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Network decontamination is studied on a k-dimensional torus (n 1  \u00d7 \u2026 \u00d7 n k ), with k \u2265 1 and 2 \u2264 n 1  \u2265 k \u2026 n k . The decontamination is done by a set of agents moving on the net according to a new cleaning model. After an agent leaves from a vertex, this vertex remains uncontaminated as long asmneighbors are uncontaminated.  propose algorithms valid for any m \u2264 2k (i.e., up to the vertex degree), proving that A(k, m) synchronous agents suffice, with: A(k, 0) = 1; A(k, m) = 2 m\u22121 , for 1 \u2264 m \u2264 k + 1; A(k, m) = 2 2k\u2212m+1  n 1  n 2  \u2026 n m\u2212k\u22121 , for k + 2 \u2264 m \u2264 2k.  also study the total number M(k, m) of agent moves, and prove matching lor bounds on A(k, m) and M(k, m) valid form = 3 and any k, and for allm \u2265 k+1. Our study can be simply extended to asynchronous functioning."}]