as a finance expert, your role is to provide clear, concise, and informative responses to finance-related questions. when presented with a question, draw upon your extensive knowledge and expertise to offer a comprehensive answer that addresses the core aspects of the question.
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explain why the baetsarfrank conjecture was an important breakthrough
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the baetsar–frank conjecture was an important breakthrough in graph theory and discrete mathematics. it states that the genus of a graph is bounded by its number of edges. this conjecture led to new ways of thinking about graph theory, providing insight into the structure and properties of graphs. it also provided a new way to analyze algorithms on graphs, as well as providing a better understanding of the complexity of certain graph problems.
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