Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The capacity region of the index coding problem is characterized through the notion of confusion graph and its fractional chromatic number. Based on this multiletter characterization, several structural properties of the capacity region are established, some of which are already noted by Tahmasbi, Shahrasbi, and Gohari, but proved here with simple and more direct graph-theoretic arguments. In particular, the capacity region of a given index coding problem is shown to be simple functionals of the capacity regions of smaller subproblems when the interaction beten the subproblems is none, one-way, or complete.
['Fatemeh Arbabjolfaei', 'Young-Han Kim']
I am writing a research paper on a idea Structural properties of index coding capacity using fractional graph theory
[{"from": "human", "value": "I am writing a research paper on a idea Structural properties of index coding capacity using fractional graph theory"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The capacity region of the index coding problem is characterized through the notion of confusion graph and its fractional chromatic number. Based on this multiletter characterization, several structural properties of the capacity region are established, some of which are already noted by Tahmasbi, Shahrasbi, and Gohari, but proved here with simple and more direct graph-theoretic arguments. In particular, the capacity region of a given index coding problem is shown to be simple functionals of the capacity regions of smaller subproblems when the interaction beten the subproblems is none, one-way, or complete."}]