Characterizing Flag Graphs and Induced Subgraphs of Cartesian Product Graphs

نویسنده

  • Iztok Peterin
چکیده

The vertices of the flag graph Φ(P ) of a graded poset P are its maximal chains. Two vertices are adjacent whenever two maximal chains differ in exactly one element. In this paper we characterize induced subgraphs of Cartesian product graphs and flag graphs of graded posets. The latter class of graphs lies between isometric and induced subgraphs of Cartesian products in the embedding structure theory. Both characterization use certain edge-labelings of graphs.

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عنوان ژورنال:
  • Order

دوره 21  شماره 

صفحات  -

تاریخ انتشار 2004