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On the h-vector of a simplicial complex with Serre's condition

Goodarzi, A | 2012

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jpaa.2011.05.005
  3. Publisher: 2012
  4. Abstract:
  5. Let δ be a (d-1)-dimensional simplicial complex and let h(δ)=(h0,h1,...,hd) be its h-vector. A recent result of Murai and Terai guarantees that if δ satisfies Serre's condition (Sr), then (h0,h1,...,hr) is an M-vector and hr+hr+1+...+hd is nonnegative. In this article, we extend the result of Murai and Terai by giving r extra necessary conditions. More precisely, we prove that if δ satisfies Serre's condition (Sr), then iihr+i+1ihr+1+...+i+d-rihd, 0≤i≤r≤d, are all nonnegative
  6. Keywords:
  7. Primary ; Secondary
  8. Source: Journal of Pure and Applied Algebra ; Volume 216, Issue 1 , January , 2012 , Pages 91-94 ; 00224049 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0022404911001228