Báo cáo toán học: "Regularity and Isomorphism Theorems of Generalized Order - Preserving Transformation Semigroups" ppt

... ϕ −1 are order- preserving. It is clear that if both X and Y are chains and ϕ : X → Y is an order- preserving bijection, then ϕ is an order -isomorphism. We say that X and Y are order- isomorphic if ... interesting isomorphism theorem as follows: For posets X and Y , OT (X) ∼ = OT (Y ) if and only if X and Y are order- isomorphic or anti- order- isomorphic. Let Z and...

Ngày tải lên: 06/08/2014, 05:20

Ngày tải lên: 05/08/2014, 09:46

... that α and β defined as in (17), (18) are lower and upper solutions for problem (1) with Λ = 0, and this does not depend on the choice of τ. Proof. Reasoning in the same way as in the proof of Proposition ... solution α and the upper solution β satisfy, respectively, inequalities (7) and (8) and, conversely, if α and β satisfy (7) and (8) then they are lower and upper solu...

Ngày tải lên: 20/06/2014, 20:20

... a base pres- sure of 5.0 × 10 -5 Torr. A 50-mm diameter ZnS target (99.99%) was used for sputtering. In order to clean the sur- face of the target, pre-sputtering for 10 min was per- formed with ... Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (201 0-0 024830). Author details 1 School of Materials Science and Engineering, Pusan Na...

Ngày tải lên: 20/06/2014, 21:20

... full incorporation of the TiO 2 and ZrO 2 film, as shown in TEM. Figure 2 High-resolution cross-sectional TEM images of the interface between the composite thin films and Si.(a) As-deposited and (b) annealed ... for structural and electrical properties of HfO 2 - TiO 2 composite films. Jpn J Appl Phys 2004, 43:1571. 13. Ramani K, Singh RK, Cracium V: Hf-O-N and HfO 2 barri...

Ngày tải lên: 20/06/2014, 21:20

... entries; the order of the entries is irrelevant. Because entries equal to 0 ∗ This work partially supported by RFFI grants 0 3-0 1-0 0796 and 0 2-0 1-0 0039 and by grant No.6 of the 6th Expertise of Young ... those of the author(s) and do not necessarily reflect the views of the NSA. the electronic journal of combinatorics 11 (2004), #R4 1 2 The Proofs Let n(G) deno...

Ngày tải lên: 07/08/2014, 08:20

... {v 2 } and a component G 2 of G O \ V 2 so that G 2 ∪ V 2 is a two-connected subgraph of G O \ G 1 . 2. V 1 consists of two vertices and there is a subset V 2 of two vertices and a component G 2 of G O \ ... es- sentially unique for any graph. We show that M–representations of three-connected planar and toroidal graphs are convex pseudo-embeddings, and that the set of...

Ngày tải lên: 07/08/2014, 13:21

... graph is outerplanar if and only if it is both K 4 -minor-free and K 2,3 -minor-free. By a near-outerplanar graph we mean one that is either K 4 -minor- free or K 2,3 -minor-free. In fact, in the ... remaining vertices and edges of B. This shows that ch  (G)  ∆ + 1, again contradicting the choice of G. This completes the proof of Claim 3.1. ✷ In view of Claim 3.1 and Lemma...

Ngày tải lên: 07/08/2014, 13:21

... DMS-0400498 and DMS-0 6-5 0784 and grant 0 6-0 1-0 0694 of the Russian Foundation for Basic Research. † Institute of Mathematics, Technische Universit¨at Ilmenau, D-98684 Ilmenau, Germany. E-mail ad- dress: ... set and the vertex set of G is denoted by V (G) and E(G) respectively. For a vertex v of G, the degree, d(v), of v in G is the number of edges incident with v...

Ngày tải lên: 07/08/2014, 15:22

... distribu- tions of the number of edges in a random dissection and in a random outerplanar graph, respectively. Proof of Theorem 1.4. The limit distribution of the number of edges in a two-connected unlabeled ... chromatic number of a random outerplanar graph. An out- erplanar graph is easily shown to be 3-colourable. In order to further investigate the distribution of the ch...

Ngày tải lên: 07/08/2014, 15:23