JCT
2016
8 years 1 months ago
2016
It is proved that, for a prime number p, showing that an n-element matroid is not representable over GF(p) requires only O(n2 ) rank evaluations.
JCT
2016
8 years 1 months ago
2016
Let a planar algebraic curve C be defined over a valuation field by an equation F(x, y) = 0. Valuations of the coefficients of F define a subdivision of the Newton polygon ∆ o...
JCT
2016
8 years 1 months ago
2016
A graph is called diameter-k-critical if its diameter is k, and the removal of any edge strictly increases the diameter. In this paper, we prove several results related to a conje...
JCT
2016
8 years 1 months ago
2016
JCT
2016
8 years 1 months ago
2016
The essential fact behind the so-called field-descent method is that certain cyclotomic integers necessarily are contained in relatively small fields and thus must have relative...
JCT
2016
8 years 1 months ago
2016
The study of entrywise powers of matrices was originated by Loewner in the pursuit of the Bieberbach conjecture. Since the work of FitzGerald and Horn (1977), it is known that A◦...
JCT
2016
8 years 1 months ago
2016
The W-set of an element of a weak order poset is useful in the cohomological study of the closures of spherical subgroups in generalized flag varieties. We explicitly describe in...