A Dynamic Algorithm for Line Graph Recognition

نویسندگان

  • Daniele Giorgio Degiorgi
  • Klaus Simon
چکیده

For a graph G = (V; E) its line graph L(G) has the node set E and two nodes of L(G) are adjacent if the corresponding edges of G have a common endpoint. The problem of nding G for a given L was already optimally solved by Lehot7] and Roussopoulos10]. Here we present a new dynamic solution to this problem, where we can add or delete a node v in L(G) in time proportional to the size of its adjacency list.

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تاریخ انتشار 1995