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This document summarizes a research paper that proves the Sensitivity Conjecture in theoretical computer science. It shows that every induced subgraph of a hypercube with p2n-1 + 1q vertices has maximum degree at least the square root of n. This implies that the sensitivity and degree of a boolean function are polynomially related, solving the long-standing Sensitivity Conjecture. The proof involves analyzing eigenvalues of matrices related to hypercube graphs using techniques like Cauchy

Author

Muhamad Doris Bagindo Sati

Language

EN