• Connected Components of Chaos

  • Auteur(s): AmCan Tech
  • Podcast

Connected Components of Chaos

Auteur(s): AmCan Tech
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  • Résumé

  • A podcast where logic meets lunacy, and graphs guide the way through the madness! Join us as we explore the beautiful intersections of mathematical logic, graph theory, discrete math, computer science, and the quirky chaos of everyday life. From proving theorems to untangling graph traversals, we’ll connect seemingly random dots to create a web of ideas that’s as entertaining as it is enlightening.
    AmCan Tech
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Épisodes
  • Tries: Data Structures for String Processing

    Tries: Data Structures for String Processing
    Jan 25 2025
    A Trie, also known as a prefix tree, is a specialized tree-based data structure primarily used for efficiently storing and retrieving strings. Unlike traditional search trees where a node stores the entire key, each node in a trie represents a prefix shared by all its descendants. This unique structure facilitates fast search, insertion, and deletion operations based on string prefixes.
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    16 min
  • Topological Sort and Strongly Connected Components

    Topological Sort and Strongly Connected Components
    Jan 19 2025
    This podcast reviews key concepts related to Depth First Search (DFS) algorithm and its application in topological sorting and finding strongly connected components in graphs.
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    14 min
  • QuickSort and Order Selection

    QuickSort and Order Selection
    Dec 20 2024
    This episode focuses on QuickSort, a divide-and-conquer sorting algorithm, comparing it to MergeSort, and analyzing its average and worst-case time complexities. It then explains the order selection problem, which involves finding the kth smallest element in a dataset, presenting several algorithms with varying time complexities and practical considerations, including a linear worst-case algorithm and an approximate heuristic. The analysis includes recurrence relations and their solutions to determine the algorithm's efficiency. Finally, it contrasts the different approaches for solving the order selection problem based on their performance characteristics.
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    14 min

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