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A library of algorithms and data structures. Used in course EI1022/MT122 (Universitat Jaume I de Castelló)

Project description

Biblioteca algoritmia

Implementada en Python 3. Necesita Python 3.12 o superior.

Utilizada en dos asignaturas de la Universitat Jaume I de Castelló:

  • EI1022: Grado en Ingeniería Informática.
  • MT1022: Grado en Matemática Computacional.

Contenido

Estructuras de datos:

  • Colas: Fifo, Lifo
  • Listas enlazadas: LinkedList
  • Grafos: Digraph, UndirectedGraph
  • Montículos: MinHeap, MaxHeap
  • Diccionarios de prioridad: MinHeapMap, MaxHeapMap
  • Conjuntos disjuntos: MFSet

Algoritmos sobre grafos:

  • Recorridos de vértices y aristas
  • Componentes conexos
  • Árbol de recubrimiento mínimo
  • Camino más corto
  • Algoritmo de Dijkstra

Esquemas algorítmicos:

  • Búsqueda con retroceso (backtracking)
  • Ramificación y acotación (brand and bound)
  • Divide y vencerás (divide and conquer)
  • Reduce y vencerás (reduce and conquer)

Problemas:

  • Mochila (Knapsack)
  • Cambio de moneda (Coin change)
  • Empaquetado (Bin packing)
  • Viajante (Travelling salesman)
  • N-reinas (N-queens)
  • Coloreado de grafos (Graph coloring)
  • Voraces exactos: MST (Kruskal y Prim), mochila fraccionaria

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