Geodesic
Strongly light subgraphs in the 1-planar graphs with minimum degree 7
Ars Mathematica Contemporanea, Tome 8 (2015) no. 2, pp. 409-416.

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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.
DOI : 10.26493/1855-3974.564.d96
Keywords: Strongly light subgraph, 1-planar graph. 
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Tao Wang. Strongly light subgraphs in the 1-planar graphs with minimum degree 7. Ars Mathematica Contemporanea, Tome 8 (2015) no. 2, pp. 409-416. doi : 10.26493/1855-3974.564.d96. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.564.d96/

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