Browsing by Author "Iqra Siddique"

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    On Tchebyshev Subdivision of Simplicial Complexes
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2018) Iqra Siddique; CIIT/FA16-RMT-035/LHR; Dr. Sarfraz Ahmad; LHR TP 5197
    In this work, we studied the Tchebyshev subdivision of a simplicial complex Δ as combinatorial and algebraic point of view. In particular, we have studied f-vector and h-vector transformation maps and properties of corresponding transformation matrices. We have also studied the impact of this subdivision on the algebraic properties of the corresponding Stanely Reisner Rings IΔ, including dimension, primary decomposition and Hilbert series. We extended these results to some other subdivisions of a simplicial complex Δ.