Analysis

Criterion for boundedness of power series ★

Author(s): Rüdinger

Question   Give a necessary and sufficient criterion for the sequence $ (a_n) $ so that the power series $ \sum_{n=0}^{\infty} a_n x^n $ is bounded for all $ x \in \mathbb{R} $.

Keywords: boundedness; power series; real analysis

Posted by andreasruedinger
updated June 21st, 2012
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Graph Theory » Topological G.T.

Domination in plane triangulations ★★

Author(s): Matheson; Tarjan

Conjecture   Every sufficiently large plane triangulation $ G $ has a dominating set of size $ \le \frac{1}{4} |V(G)| $.

Keywords: coloring; domination; multigrid; planar graph; triangulation

Posted by mdevos
updated May 4th, 2009
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