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Creators/Authors contains: "Gartland, Peter"

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  1. ; ; ; ; (, Society for Industrial and Applied Mathematics - Symposium on Discrete Algorithms)
    We prove that the tree independence number of every even-hole-free graph is at most polylogarithmic in its number of vertices. More explicitly, we prove that there exists a constant c > 0 such that for every integer n > 1 every n-vertex even-hole-free graph has a tree decomposition where each bag has stability (independence) number at most clog10 n. This implies that the Maximum Weight Independent Set problem, as well as several other natural algorithmic problems that are known to be NP-hard in general, can be solved in quasipolynomial time if the input graph is even-hole-free. The quasi-polynomial complexity will remain the same even if the exponent of the logarithm is reduced to 1 (which would be asymptotically best possible). 
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    Free, publicly-accessible full text available January 1, 2026
  2. ; ; ; ; ; (, ACM)
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  3. ; (, Society for Industrial and Applied Mathematics)
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  4. ; (, Society for Industrial and Applied Mathematics)
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  5. ; ; ; ; (, Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing)
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  6. ; (, 61st IEEE Annual Symposium on Foundations of Computer Science)
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