On the neighborhood complex of $\vec{s}$-stable Kneser graphs
In 2002, A. Björner and M. de Longueville showed the neighborhood complex of the $2$-stable Kneser graph ${KG(n, k)}_{2-\textit{stab}}$ has the same homotopy type as the $(n-2k)$-sphere. A short time ago, an analogous result about the homotopy type of the neighborhood complex of almost $s$-stable Kneser graph has been announced by J.
Daneshpajouh, Hamid Reza +1 more
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Validation of a novel testing machine for the investigation of the biomechanical properties of lumbar vertebrae in an osteoporotic rat model. [PDF]
Mackert GA +8 more
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Benefit of Adjuvant Mesenchymal Stem Cell Transplantation to Critical-Sized Peripheral Nerve Defect Repair: A Systematic Review and Meta-Analysis of Preclinical Studies. [PDF]
Aman M +8 more
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On the chromatic number of almost s-stable Kneser graphs
In 2011, Meunier conjectured that for positive integers $n,k,r,s$ with $ k\geq 2$, $r\geq 2$, and $n\geq \max (\{r,s\})k$, the chromatic number of $s$ -stable $r$-uniform Kneser hypergraphs is equal to $\left\lceil \frac{n-\max (\{r,s\})(k-1)}{r-1}\right\rceil $.
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Biomolecular Topology: Modelling and Analysis. [PDF]
Liu J, Xia KL, Wu J, Yau SS, Wei GW.
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Low-energy extracorporeal shockwave therapy (ESWT) improves metaphyseal fracture healing in an osteoporotic rat model. [PDF]
Mackert GA +11 more
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Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization. [PDF]
Gribling S, de Laat D, Laurent M.
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A novel device for resistance-free biomechanical testing of the metaphysis of long bones. [PDF]
Mackert GA +6 more
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The effect of word predictability on reading time is logarithmic. [PDF]
Smith NJ, Levy R.
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The chromatic number of 3-stable Kneser graphs
For an integer $s \ge 2$, a subset $S \subseteq [n]$ is {\em $s$-stable} if $\min \{j - i, n + i - j\}\ge s$ for every $i,j \in S$ with ...
Chen, Wei-Chia +2 more
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