346 citations
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Showing 2019 · math.COShow all
3 papers · 2 filters
math.CO2019
On Degree Sum Conditions and Vertex-Disjoint Chorded Cycles
Bradley Elliott, Ronald Gould, Kazuhide Hirohata
In this paper, we consider a general degree sum condition sufficient to imply the existence of vertex-disjoint chorded cycles in a graph . Let be the minimum degree…
math.CO2019★ 1 cited
A note on mediated simplices
Victoria Powers, Bruce Reznick
Many homogeneous polynomials that arise in the study of sums of squares and Hilbert's 17th problem come from monomial substitutions into the arithmetic-geometric inequality. In 198…
math.CO2019
On almost k-covers of hypercubes
Alexander Clifton, Hao Huang
In this paper, we consider the following problem: what is the minimum number of affine hyperplanes in , such that all the vertices of $\{0, 1\}^n \setminus \{\vec{0}\…