Báo cáo toán học: "Application of graph combinatorics to rational identities of type A" ppt

... result, a combinatorial formula for the numerator of Ψ P . the electronic journal of combinatorics 16 (2009), #R145 3 Application of graph combinatorics to rational identities of type A Adrien Boussicault Universit´e ... numerator of the rational function associated to the graph of Figure 18 can be written as a product of four non-trivial factors. Before turn...

Ngày tải lên: 08/08/2014, 01:20

... of q, we move one element from the end of the left list into the stack, and when we encounter an element of p, we move the top of the stack to the beginning of the right list. If an element of ... the proof. the electronic journal of combinatorics 9(2) (2003), #R11 9 Returning to the general case, we have to prove the following statements: Claim 1: p, q is indeed an init...

Ngày tải lên: 07/08/2014, 07:21

... electronic journal of combinatorics 11(2) (2004), #R6 7 h ∗ -vectors, Eulerian polynomials and stable polytopes of graphs Christos A. Athanasiadis Department of Mathematics University of Crete 71409 ... faces of ∆ for 0 ≤ i ≤ d − 1andf −1 =1. We say that ∆ is a triangulation of a polytopal complex F if the union of the faces of ∆ is equal to the union of the faces of F...

Ngày tải lên: 07/08/2014, 08:22

... it. We now give the definiton of the zeta function of a finite graph G. Definition. The Ihara zeta function Z G (u) of a graph G is defined by Z G (u) =  prime walks p of G of nonzero length (1 − ... electronic journal of combinatorics 16 (2009), #R84 3 degree 1 o r 0. This is a natural class of graphs to consider with respect to the zeta function because adding vertices...

Ngày tải lên: 08/08/2014, 01:20

... r , the LCR N C (r) of the capacity of N∗Nakagami-m channels with lower values of the fading parameter m n is lower as compared to that of the channels with higher values of the fading parameter ... levels r, the LCR N C (r) of the capacity of N∗Nakagami-m channels decreases with an increase in severity of fading or the number of 15 frequencies f max n were set to be equ...

Ngày tải lên: 20/06/2014, 20:20

... consequence of such errors on the performance of class of algorithms previously classified. Due to their lack of flexibility, expert decision making techniques seem to be the most vulnerable to uncertainty. ... benefit of learning techniques in such contexts. Section 6 concludes this analysis. 2. Cognitive radio 2.1. The rise of CR To fulfill the requirements to enable smart...

Ngày tải lên: 20/06/2014, 20:20

... of the Banach space X. The E-L measure of nonconvexity µ of X is said to have the Cantor property in Y if for every decreasing sequence {A n } ∞ n=1 of nonempty, closed, and bounded subsets of ... subsets of real Banach spaces are charac- terized in terms of the Cantor property for the Eisenfeld–Lakshmikantham measure of nonconvexity. This characterization is applied to pr...

Ngày tải lên: 20/06/2014, 20:20

... (1 +  16/π 2 − 1)/2 and β ≥ (3 + √ 6)/6. 2 Proof of Theorem 1.1 Proof of Theorem 1.1. Let λ = (1+  16/π 2 − 1)/2 and µ = (3+ √ 6)/6. We first proof that inequalities T (a, b) > S(λa + (1 −λ)b, ... Foundation of China under Grant 11071069, the Natural Science Foundation of Hunan Province under Grant 09JJ6003 and the Innovation Team Foundation of the Depart- ment of Education o...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20