Reconstructing a Graph from its Arc Incidence Graph

نویسندگان

  • Stephen G. Hartke
  • Geir T. Helleloid
چکیده

Introduced implicitly by Brualdi and Massey [3] in their work on the strong chromatic index of multigraphs, the arc incidence graph AI(G) of a graph G is defined as the square of the line graph of the incidence graph of G. We describe a linear-time algorithm for recognizing arc incidence graphs and reconstructing a graph with no isolated vertices from its arc incidence graph.

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عنوان ژورنال:
  • Graphs and Combinatorics

دوره 28  شماره 

صفحات  -

تاریخ انتشار 2012