Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  study labeled extensions of the classical s , t -mincut problem, in which  are given a graph G = ( V , E ) , two specific vertices s , t ź V , a set L of labels, and a labeling ź : E ź L of the edges. The goal is to choose a subset L ' ź L of labels, so that s and t become disconnected when deleting the edges with labels in L ' .  give an algorithm with an O ( n 2 / 3 ) approximation factor guarantee, which improves the O ( m ) approximation guarantee of Zhang et al. (2009) 16.  also consider variants in which selected subsets of paths beten s and t have to be removed (instead of all paths). These labeled cut problems are much harder than the classical mincut problem.
['Tridib Dutta', 'Lenwood S. Heath', 'V. S. Anil Kumar', 'Madhav V. Marathe']
I am writing a research paper on a idea Labeled cuts in graphs
[{"from": "human", "value": "I am writing a research paper on a idea Labeled cuts in graphs"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  study labeled extensions of the classical s , t -mincut problem, in which  are given a graph G = ( V , E ) , two specific vertices s , t \u017a V , a set L of labels, and a labeling \u017a : E \u017a L of the edges. The goal is to choose a subset L ' \u017a L of labels, so that s and t become disconnected when deleting the edges with labels in L ' .  give an algorithm with an O ( n 2 / 3 ) approximation factor guarantee, which improves the O ( m ) approximation guarantee of Zhang et al. (2009) 16.  also consider variants in which selected subsets of paths beten s and t have to be removed (instead of all paths). These labeled cut problems are much harder than the classical mincut problem."}]