Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In a graph or a network G=(V,E), a set &#x1d4ae;⊆V is a dominating set if each node in V-&#x1d4ae; is adjacent to at least one node in &#x1d4ae;. A dominating set &#x1d4ae; is called minimal when there does not exist a node i∈&#x1d4ae; such that the set &#x1d4ae;-{i} is a dominating set. ,  propose a new self-stabilizing algorithm for minimal dominating set. It has safe convergence property under synchronous daemon in the sense that starting from an arbitrary state, it quickly converges to a dominating set (a safe state) in two rounds, and then stabilizes in a minimal dominating set (the legitimate state) in O(n) rounds without breaking safety during the convergence interval, where n is the number of nodes. Space requirement at each node is O(logn) bits.
['Yihua Ding', 'James Z. Wang', 'Pradip K. Srimani']
I am writing a research paper on a idea Self-Stabilizing Algorithm for Minimal Dominating Set with Safe Convergence in an Arbitrary Graph
[{"from": "human", "value": "I am writing a research paper on a idea Self-Stabilizing Algorithm for Minimal Dominating Set with Safe Convergence in an Arbitrary Graph"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In a graph or a network G=(V,E), a set &#x1d4ae;\u2286V is a dominating set if each node in V-&#x1d4ae; is adjacent to at least one node in &#x1d4ae;. A dominating set &#x1d4ae; is called minimal when there does not exist a node i\u2208&#x1d4ae; such that the set &#x1d4ae;-{i} is a dominating set. ,  propose a new self-stabilizing algorithm for minimal dominating set. It has safe convergence property under synchronous daemon in the sense that starting from an arbitrary state, it quickly converges to a dominating set (a safe state) in two rounds, and then stabilizes in a minimal dominating set (the legitimate state) in O(n) rounds without breaking safety during the convergence interval, where n is the number of nodes. Space requirement at each node is O(logn) bits."}]