Báo cáo toán học: "Domination, packing and excluded minors" pptx

... K r minor, and this completes the proof. The relation between α 2k and α 2k+1 in Corollary 1.6 cannot be extended to α 2k+1 and α 2k+2 as shown by the following examples (which are all planar and hence ... ≤ i<j≤ q) and two of their paths P i a and P j b where a = b. Suppose that they intersect in a vertex v.Denotebyx =dist G (v i ,v), y =dist G (v, A a ), z =dist G (v j ,v),...

Ngày tải lên: 07/08/2014, 07:21

... +1, ,n−1} ,and 2 is a permutation of the set {1, ,n−k}. Furthermore, π 1 and π 2 are each (132)-avoiding. Conversely, if π 1 and π 2 are (132)-avoiding permutations on {n−k+1, ,n−1} and {1, ,n−k}respectively (for ... 181 (1998), no. 1-3, 267–274. [2] Aaron Robertson, Permutations containing and avoiding 123 and 132 patterns. Discrete Math. and Theoretical Computer Science, 3 (199...

Ngày tải lên: 07/08/2014, 06:20

... between π(i) and π(i + 1) (allowing k i to be i but not i + 1) and m  i for every π(m) between π(i) and π(k i ) (including π(k i )), and m > i + 1 for every π ( m) between π(k i ) and π(i + ... tiling can have two patterns, L and R. L corresponds to having the closest non-zero A entry on the left being 1, and R corresponds to being on the right of a 1 in A. If R and L fit t...

Ngày tải lên: 08/08/2014, 12:22

... of p and 1 and n are fixed points of q (or vice versa) and p and q are otherwise identical, or 1 and n are adjacent in p and interchanging them results in q. Suppose that the former is true, and ... that p = q, and we are in case (i). If instead 1 and n are adjacent in p, then since 1 and n have distinct images under p and under p −1 , it follows that a = c and b = d. T...

Ngày tải lên: 07/08/2014, 21:21

... independent if and only if it is a maximal independent set and that in every graph, γ(G) ≤ i(G) ≤ β(G) where γ(G) and i(G) are respectively the minimum cardinality of a dominating set and of an independent ... tree and describe the extremal graphs, and that γ o (T ) ≤ 2i(T ) − 1 and i(T) ≤ γ ˆo (T ) − 1 for every tree. We use a lemma stating that β(T ) + 2i(T ) ≥ n + 1 in every...

Ngày tải lên: 07/08/2014, 21:20

... measurements, and drafted the manuscript. CY conducted the STEM measurement. SZ, TH, and GH conducted the MBE growth. JH, WW, and CH coordinated the study. WL provided the idea and conceived ... identified as the indirect transition from the InGaAs conduction band to the GaSb hole level (type-II) and the GaSb QDs direct interband transition (type-I) respectively, as shown in Fi...

Ngày tải lên: 20/06/2014, 20:20

... concentrations become light yellow, and the color becomes deeper and deeper with increasing Mn. The phase purity and crystal structure of the pristine ZnO and Mn-doped ZnO for various doping ... in the absorption band edge with increasing dopant concentration, and corresponding photoluminescence spectra show that Mn doping suppresses both near-band edge UV emission and defect-...

Ngày tải lên: 20/06/2014, 20:20

... noncon- vexity in X and {Y n } ∞ n=1 is the decreasing sequence of nonempty, closed, and bounded subsets of X defined by Y 1 = f(Y ), Y n+1 = f(Y n ) (n ∈ N). Proposition 3.2. Let Y be a nonempty and weakly ... point theorems for con- densing and nonexpansive maps will be proved. 3.1. Condensing maps. Definition 3.3. Let Y be a nonempty and bounded subset of a Banach space X, and le...

Ngày tải lên: 20/06/2014, 20:20

... able to adapt and synchro- nize well with the tempo, dynamics and rhythmic feel of the performer and this needs to be achieved within hard real-time constraints. Unlike repetitive and dull tasks, ... conga player, and a central computer as shown in Figure 14. The central computer listens to the polyphonic music played by all parties and jointly infers the tempo, and bar position...

Ngày tải lên: 20/06/2014, 20:20

... production by respectively A. niger CFR335 (Gunashree and Venkateswaran 2008), A. niger NCIM 563 (Soni and Khire 2007) and P. anomala (Kaur and Satyanarayana 2005). In addition to the illustration ... at 65 °C (instead of 55 °C) and recovered about 90 and 55% of its activity (77 and 0% for the native enzyme) after heating for 10 min at 75 °C in the presence and absence of...

Ngày tải lên: 20/06/2014, 20:20