P3-isomorphisms for graphs

نویسندگان

  • Robert E. L. Aldred
  • Mark N. Ellingham
  • Robert L. Hemminger
  • Peter Jipsen
چکیده

The P3-graph of a finite simple graph G is the graph whose vertices are the 3-vertex paths of G, with adjacency between two such paths whenever their union is a 4-vertex path or a 3-cycle. In this paper we show that connected finite simple graphs G and H with isomorphic P3-graphs are either isomorphic or part of three exceptional families. We also characterize all isomorphisms between P3-graphs in terms of the original graphs. c © 1997 John Wiley & Sons, Inc. J Graph Theory 26: 35–51, 1997

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عنوان ژورنال:
  • Journal of Graph Theory

دوره 26  شماره 

صفحات  -

تاریخ انتشار 1997