A sharp upper bound for the sum of reciprocals of least common multiples
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-019-00984-9
Abstract: Let $$n$$ n and $$k$$ k be positive integers such that $$n\ge k+1$$ n ≥ k + 1 and let $$\{a_i\}_{i=1}^n$$ { a i } i = 1 n be an arbitrary given strictly increasing… read more here.
Keywords: upper bound; frac; frac rfloor; lfloor frac ... See more keywords
Regularity of Powers of Edge Ideals of Some Graphs
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DOI: 10.1007/s40306-017-0204-5
Abstract: Let Cn~$\tilde {C_{n}}$ be the graph by adding an ear to Cn and I=I(Cn~)$I=I(\tilde {C_{n}})$ be its edge ideal. In this paper, we prove that reg(Is)=2s+⌊n+13⌋−1$\operatorname {reg}(I^{s})=2s+\lfloor \frac {n+1}{3}\rfloor -1$ for all s ≥ 1.… read more here.
Keywords: frac rfloor; powers edge; regularity; lfloor frac ... See more keywords