Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a graph-theoretic vertex dissolution model that applies to a number of redistribution scenarios, such as gerrymandering in political districting or work balancing in an online situation. The central aspect of our model is the deletion of certain vertices and the redistribution of their load to neighboring vertices in a completely balanced way.  investigate how the underlying graph structure, the knowledge of which vertices should be deleted, and the relation beten old and new vertex loads influence the computational complexity of the underlying graph problems. Our results establish a clear borderline beten tractable and intractable cases.
['René van Bevern', 'Robert Bredereck', 'Jiehua Chen', 'Vincent Froese', 'Rolf Niedermeier', 'Gerhard J. Woeginger']
I am writing a research paper on a idea Network-Based Vertex Dissolution
[{"from": "human", "value": "I am writing a research paper on a idea Network-Based Vertex Dissolution"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a graph-theoretic vertex dissolution model that applies to a number of redistribution scenarios, such as gerrymandering in political districting or work balancing in an online situation. The central aspect of our model is the deletion of certain vertices and the redistribution of their load to neighboring vertices in a completely balanced way.  investigate how the underlying graph structure, the knowledge of which vertices should be deleted, and the relation beten old and new vertex loads influence the computational complexity of the underlying graph problems. Our results establish a clear borderline beten tractable and intractable cases."}]