Strongly light subgraphs in the 1-planar graphs with minimum degree 7

Tao Wang


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 lambda, such that every graph G in G contains a subgraph K isomorphic to H with deg_G (v) <= lambda for all v in V(K). In this paper, we present some strongly light subgraphs in the family of 1-planar graphs with minimum degree 7.


Strongly light subgraph, 1-planar graph.

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ISSN: 1855-3974

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