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Readme.md

Graphs

Undirected Graphs

Common terms

  • Adjacent vertices : When two vertices are connected via an edge
  • Incident edge : An edge connecting two vertices
  • Degree of Vertex : number of edges incident on a vertex
  • Subgraph : As set of edges and vertices that consitute a graph
  • Simple Path : a sequence of vertices connected by edges with no repeated vertex
  • Simple Cycle : with the except of the repetition of first and last vertex, simple cycle don't have repeated vertices
  • Connected Graph : is graph that have a path from every vertex to every other vertex
  • Not Connected Graph : Consists of a set of connected components , which are maximal connected subgraph
  • Tree : is an acyclic connected graph
  • Forest : a disjoint set of trees
  • Spanning Tree : is a subgraph that contains all the vertices of the graph
  • Spanning Forest : union of Spanning Trees