Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract    consider graph applications of the ll-known paradigm “killing two birds with one stone”. In the plane, this gives rise to a stage graph as follows: vertices are the points, and  u ,  v  is an edge if and only if the (infinite, straight) line segment joining  u  to  v  intersects the stage. Such graphs are shown to be comparability graphs of ordered sets of dimension 2. Similar graphs can be constructed when  have a fixed number  k  of stages on the plane. In this case,  u ,  v  is an edge if and only if the (straight) line segment  uv  intersects one of the  k  stages. ,  study stage representations of stage graphs and give upper and lor bounds on the number of stages needed to represent a graph.
['Evangelos Kranakis', 'Danny Krizanc', 'Anil Maheshwari', 'Marc Noy', 'Jörg-Rüdiger Sack', 'Jorge Urrutia']
I am writing a research paper on a idea Stage-graph representations
[{"from": "human", "value": "I am writing a research paper on a idea Stage-graph representations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Abstract    consider graph applications of the ll-known paradigm \u201ckilling two birds with one stone\u201d. In the plane, this gives rise to a stage graph as follows: vertices are the points, and  u ,  v  is an edge if and only if the (infinite, straight) line segment joining  u  to  v  intersects the stage. Such graphs are shown to be comparability graphs of ordered sets of dimension 2. Similar graphs can be constructed when  have a fixed number  k  of stages on the plane. In this case,  u ,  v  is an edge if and only if the (straight) line segment  uv  intersects one of the  k  stages. ,  study stage representations of stage graphs and give upper and lor bounds on the number of stages needed to represent a graph."}]