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Contracting planar graphs to contractions of triangulations
planar graph dual graph contraction topological minor
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2011/1/20
For every graph H, there exists a polynomial-time algorithm deciding if a planar input graph G can be contracted to H. However, the degree of the polynomial depends on the size of H. In this paper, we...
Drawing planar graphs of bounded degree with few slopes
planar graphs bounded degree few slopes
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2010/12/1
settle a problem of Dujmović, Eppstein, Suderman, and Wood by showing that there exists
a function f with the property that every planar graph G with maximum degree d admits a drawing
with nonc...
Edge Coloring of Triangle-Free 1-Planar Graphs
Edge Coloring Triangle-Free 1-Planar Graphs
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2011/3/1
Edge Coloring of Triangle-Free 1-Planar Graphs.