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During my extensive research over the years, I have often been amazed by the elegance and brevity of certain proofs. For instance, some highly combinatorial propositions have proofs relying solely on algebraic methods, yet lack purely combinatorial proofs. A notable example is the Graham-Pollak theorem, which states that the edges of a complete graph Kn […]
In the past 2 months (7.1-8.31), under the organization and selection of Prof. Hong Liu, the IBS ECOPRO group has conducted a 2-month summer research project. There were 11 talented students involved in the project, and I had the pleasure of having in-depth discussions and research with several of them.