Báo cáo toán học: "A New Statistic on Linear and Circular r-Mino Arrangements" potx

... are based on the fact that F (r) n (q, t)andL (r) n (q, t) are, respec- tively, bivariate generating functions for a pair of statistics on linear and circular r-mino arrangements. 2Linearr-Mino ... Classifications: 11B39, 05A15 Abstract We introduce a new statistic on linear and circular r-mino arrangements which leads to interesting polynomial generalizations of the...

Ngày tải lên: 07/08/2014, 13:21

... assume that G ∗ is disconnected. Then, G ∗ contains two components, namely a component G v containing the vertex v and a component G w containing w. Let X v = (X ∩ V (G v )) ∪ {v} and let X w = X ∩ ... assumptions, if z ∈ N(u) ∪ N(v), then z /∈ X and d G (z) ≥ 3. Let G ′ = G − {u, v}. Let G u and G v be the components of G ′ containing u ′ and v ′ , respectively, and let G w be th...

Ngày tải lên: 08/08/2014, 12:23

... least one vertex different from u and v. the electronic journal of combinatorics 14 (2007), #R65 7 A new upper bound on the total domination number of a graph 1 Michael A. Henning ∗ and 2 Anders ... and γ t (G) = 18 = ψ(G). In general, if G ∈ G and i ∈ {0, 1, 3}, then each type-i unit in G contains an i-path and contributes one to p i . Thus if G ∈ G has a type-0 units, b type-1...

Ngày tải lên: 07/08/2014, 15:23

... code if and only if for all distinct vertices u and v in G, the intersections N[u] ∩ D and N[v] ∩ D are distinct and nonempty. For a fixed subset of vertices D, we say that vertices u and v are distinguishable ... partition P ′ for C ′ and |P ′ | = k + 1. Second we consider a cluster C ′ that is built from C by adding a vertex with two neighbors in C. Let 7 be the new vertex adde...

Ngày tải lên: 08/08/2014, 01:20

... Introduction to Func- tional Grammar. London: Edward Arnold, 1985. [9] Houghton, George and Stephen Isard. Why to speak, what to say, and how to say it. In Mor- ris, P. ed. Models of Cognition. New ... ship and of roles find significant use in the construc- tion and interpretation of expressions in the Penman interface notation SPL. 3.2 Penman Interface Notation - SPL Penm...

Ngày tải lên: 09/03/2014, 01:20

... cited. Authors’ contributions HS and HH developed the concept of this article. HS, MB, CC, RMF, SUG, MH, SH, UK, GL, SR, AS and HH contributed equally to the content of the article and gave their ... methodolog y presents considerable advantages for a better understanding and description of the relevant processes and interactions in the field. Experimental set-up and test programm...

Ngày tải lên: 20/06/2014, 21:20

... Difference Equations 2011, 2011:34 http://www.advancesindifferenceequations.com/content/2011/1/34 Page 2 of 6 RESEARC H Open Access A new construction on the q-Bernoulli polynomials Seog-Hoon Rim 1* , ... definition concerning the q-Bernoulli polynomials and numbers is unreasonable. The purpose of this paper is to redefine the q-Bernoulli polynomials and numbers and correct its wron...

Ngày tải lên: 20/06/2014, 22:20

... polynomials and numbers. Rim et al. Advances in Difference Equations 2011, 2011:34 http://www.advancesindifferenceequations.com/content/2011/1/34 Page 3 of 6 RESEARC H Open Access A new construction on ... definition concerning the q-Bernoulli polynomials and numbers is unreasonable. The purpose of this paper is to redefine the q-Bernoulli polynomials and numbers and correct its w...

Ngày tải lên: 21/06/2014, 00:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 15:20