Báo cáo toán học: " Sign-graded posets, unimodality of W -polynomials and the Charney-Davis Conjecture" docx

... i p  , so w i (P, ) =w p−r−1−i (P, ) for all i, and the symmetry follows. The relationship between the W -polynomials of (P, )and( P,µ) follows from Theorem 2.2 and the expansion of order-polynomials ... two labelings ω and λ of P give rise to the same labeling of E(P )thenitiseasyto see that the set of (P, ω)-partitions and the set of (P, λ)-par...

Ngày tải lên: 07/08/2014, 08:22

... h 1" alt =""

Ngày tải lên: 05/08/2014, 15:21

... The proof of part (i) of Theorem 3 appeared in [8]. The approach taken in this proof was to decompose the edges of the multigraph G with even order n and multiplicity µ(G) ≤ r (where r ... applications of Theorem 7, followed by an application of the decomposition result in Theorem 6, and finally followed by several applications of Theorem 1 yields a 1-factorization o...

Ngày tải lên: 07/08/2014, 06:22

... and are either pairwise adjacent (in which case they are true twins) or pairwise nonadjacent (in which case they are false twins). A pendant vertex is a vertex v for which there is a vertex w ... . . . , x n are false twins in G, if edges x i w i and x i+1 w i+1 are in a common path along C within G, then those two edges can be replaced with x i w i+1 and x i+1 w i to form a d...

Ngày tải lên: 07/08/2014, 15:22

... 1 gives qcofsum w G =  u,v c u,v which is the sum of the cofactors as used in [2] and that this sum is independent of w. In Lemma 3, we show that qcofsum w G is independent of w (and hence can be ... det(qD G ) +cofsum(qD G ), where cofsum(qD G ) =  u,v c u,v is the sum of the cofactors of q D G . Proof: We recall that qD G is the q-analogue of the distance...

Ngày tải lên: 08/08/2014, 11:20

... within the walnut tree crown studied. The constancy of the daily light use efficiency within the tree crown resulted from the linear relation- ships observed in the field between the amount of ... moving with the fluid (22) where X(t) is the position of the particle at time t and S(x,t) describes the scalar source distribution. Due to the random nature of tur...

Ngày tải lên: 08/08/2014, 14:22

... Consequently we have the following lemma. 24 Journal of Inequalities and Applications Proof of Theorem 4.1. Theorem 4.1 is shown by induction with respect to m. The case of m  1 follows from 4.6, ... 1   l m−1 kn  2r−1  x kn  l j−2r1 kn  x kn  . 4.27 we have the results by induction with respect to m. Proof of Theorem 4.3. It is proved by the same reason as...

Ngày tải lên: 21/06/2014, 18:20

... evaluated was intro- duced into the wells. Standard antigens together with the serum samples drawn from patients were also introduced into the wells and the interleukin present was bound by the immobilized ... participated in the design of the study and clinical evaluations. MK participated in the design of the study and clinical evaluations, and carried out the...

Ngày tải lên: 09/08/2014, 08:22

... h. The flask of frozen slurry was then immediately transferred to a vacuum dryer and dried for 24 h. After the ice was sublimated, fine dried powder was produced. The BLTM powders were then ... PS carried out the BLTM ferroelectric ceramic experiments, analysis, and writing of the manuscript. AW and SJ participated in the conception and design of the study and...

Ngày tải lên: 20/06/2014, 20:20