Some new light subgraphs in the 1-planar graphs

نویسنده

  • Tao Wang
چکیده

A graph is 1-planar if it can be drawn in the plane such that every edge crosses at most one other edge. A connected graph H is strongly light in a family of graphs G, if there exists a constant λ, such that every graph G in G contains a subgraph K isomorphic to H with degG(v) ≤ λ for all v ∈ V(K). In this paper, we present some strongly light subgraphs in the family of 1-planar graphs with minimum degree 7.

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عنوان ژورنال:
  • CoRR

دوره abs/1304.6896  شماره 

صفحات  -

تاریخ انتشار 2013