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EM
2016
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10 years 1 months ago
How to Repair Tropicalizations of Plane Curves Using Modifications
Tropical geometry is sensitive to embeddings of algebraic varieties inside toric varieties. The purpose of this paper is to advertise tropical modifications as a tool to locally r...
María Angélica Cueto, Hannah Markwig
EM
2016
85views Management» more  EM 2016»
10 years 1 months ago
On Generalized Schur Numbers
Let L(t) represent the equation x1 + x2 + · · · + xt−1 = xt. For k 1, 0 i k − 1, and ti 3, the generalized Schur number S(k; t0, t1, . . . , tk−1) is the least positive i...
Tanbir Ahmed, Daniel Schaal
EJC
2016
10 years 1 months ago
Maximum density of induced 5-cycle is achieved by an iterated blow-up of 5-cycle
Let C(n) denote the maximum number of induced copies of C5 in graphs on n vertices. For n large enough, we show that C(n) = a · b · c · d · e + C(a) + C(b) + C(c) + C(d) + C(e...
József Balogh, Ping Hu, Bernard Lidick&yacu...