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Projective completions of affine varieties via degree-like functions
Projective completions of affine varieties degree-like functions
2011/1/18
We introduce and study a class of projective completions of ane algebraic varieties which generalize the construction of toric varieties from convex rational polytopes.
Degree conditions for the partition of a graph into triangles and quadrilaterals
degree partition triangle quadrilateral
2011/3/1
For two positive integers r and s with r ≥ 2s−2, if G is a graph of order 3r+4s such that d(x)+d(y) ≥ 4r+4s for every xy 6∈ E(G), then G independently contains r triangles and s quadrilaterals, ...
Drawing planar graphs of bounded degree with few slopes
planar graphs bounded degree few slopes
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...