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pro vyhledávání: '"Mark A. Logan"'
Publikováno v:
Discrete Mathematics. 306(23):3140-3144
We say that a rank-unimodal poset P has rapidly decreasing rank numbers, or the RDR property, if above (resp. below) the largest ranks of P, the size of each level is at most half of the previous (resp. next) one. We show that a finite rank-unimodal,
Autor:
Shahriar Shahriari, Mark J. Logan
Publikováno v:
Journal of Combinatorial Theory, Series A. 108(1):77-87
Let P be a graded poset. Assume that x1,…,xm are elements of rank k and y1,…,ym are elements of rank l for some k
Publikováno v:
European Journal of Combinatorics. 24(2):219-228
Let 2[n] denote the Boolean lattice of order n, that is, the poset of subsets of {1,..., n} ordered by inclusion. Extending our previous work on a question of Furedi, we show that for any c > 1, there exist functions e(n) ∼ √n/2 and f(n)∼ c√n
Autor:
Mark L. Logan
Publikováno v:
Discrete Mathematics. 257(2-3):501-512
Consider any sets x ⊆ y ⊆ {1,...,n}. Remove the interval [x, y] = {z ⊆ y|x ⊆ z} from the Boolean lattice of all subsets of {1,...,n}. We show that the resulting poset, ordered by inclusion, has a nested chain decomposition and has the normali
Publikováno v:
Journal of Combinatorial Theory, Series A. 97(1):62-84
Let 2[n] denote the Boolean lattice of order n, that is, the poset of subsets of {1, …, n} ordered by inclusion. Recall that 2[n] may be partitioned into what we call the canonical symmetric chain decomposition (due to de Bruijn, Tengbergen, and Kr
Autor:
Mark J. Logan
Publikováno v:
Communications in Algebra. 28:3739-3742
This note points out a factor of the Poincare polynomial of the λ-isotypic component of the exterior algebra λL, where L is a complex semisimple Lie algebra and λ is a dominant weight. Although these polynomials have been studied with regard to th
Publikováno v:
Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films. 9:1002-1006
The dissociative adsorption of tetraethoxysilane (TEOS) on SiO2 and the subsequent decomposition of the resulting siloxane species has been studied using Fourier transform infrared transmission spectroscopy. The adsorption and decomposition processes
Autor:
M. Tarif Zaim, Mark E. Logan
Publikováno v:
Journal of the American Academy of Dermatology. 22:820-830
This article reviews the theory and results of commonly used stains in dermatopathology and summarizes their specific applications.
Publikováno v:
Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films. 8:1864-1870
The reactive adsorption and decomposition of tetraethoxysilane is compared on Si(100) and SiO2 surfaces. The adsorption and decomposition behavior is compared to that observed for ethanol adsorption on both these surfaces. Tetraethoxysilane and ethan
Publikováno v:
Journal of Electron Spectroscopy and Related Phenomena. :1097-1104
The dissociative adsorption and thermal decomposition of tetraethoxysilane, TEOS, has been studied on Si(1OO) and SiO2. TEOS reacts with either surface at elevated temperatures to produce a mixture of di- and triethoxysiloxanes. These intermediates d