Báo cáo toán học: "Independence complexes and Edge covering complexes via Alexander duality" pdf

... T i for some i. Let u and v be the hub vertices of T and let Q 1 , Q 2 and Q 3 be the paths of T ea ch containing u and v. Suppose u and v are each incident to at least one edge of E and, without loss ... and z each have two edges to T 1 and T 2 respectively. Let v be as given in the statement. If v has a t most one edge to T 1 ∪ T 2 , then d H (v) ≥ 3 so suppose v has an...

Ngày tải lên: 08/08/2014, 14:23

... combinatorial Alexander duals of Ind(G) and EC(G) respectively. This and the Alexander duality provide us with isomorphisms of homology groups of Ind(G) and EC(G) in appropriately shifted and restricted ... V (G) and with the vertex set E(G) are denoted by ∆ V (G) and ∆ E(G) respectively. Notice that dim ∆ V (G) = n − 1 and dim ∆ E(G) = m − 1. In particular, the boundary co...

Ngày tải lên: 08/08/2014, 12:23

... technical help, and Lou Billera, Anders Bj¨orner, Don Kahn, and Francisco Santos gave helpful comments. References [1] L. J. Billera and L. L. Rose, Modules of piecewise polynomials and their freeness, Math. ... F,andlet and  , respectively, denote the pure (d − 1)-dimensional subcomplexes of the boundary complex of C generated by the facets in G and F G, respectively. Ehrhart ca...

Ngày tải lên: 07/08/2014, 08:22

... are the points and the lines of P G(2, q), and whose edges join each point p to the lines containing p. Since P G(2, q) has q 2 + q + 1 p oints and the same number of lines, we can (and will) consider ... vertices of K 14 as points and lines of P G(2, 2), choose a 7-cycle C ⊂ K 14 on the points and a 7- cycle C ′ ⊂ K 14 on the lines such that every edge of C and every edge of...

Ngày tải lên: 07/08/2014, 21:21

... of K n+1,n+1 and a copy of DC 2n+2 and add an edge connecting each v ertex i of K n+1,n+1 to the vertex c i of DC 2n+2 . If 2 | n, take a copy of K n+1,n+1 and a copy of C n+1 and add edges connecting ... pure two-dimensional and has only eight maximal faces. The case k = 3 is handled at the end of this section. Let k ≥ 4 and let Q k denote the face poset of Ind(SG 2,k ) and l...

Ngày tải lên: 08/08/2014, 14:23

... 3 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. The structural and optical properties ... comparatively large bandgap energies and provide a possibility of covering the whole 0.74 0.75 0.76 0.77 Intensity (arb.units) Energy (eV) 3mw Figure 2 The spatial separatio...

Ngày tải lên: 20/06/2014, 20:20

... 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-related ... This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Structural, optical an...

Ngày tải lên: 20/06/2014, 20:20

... domain. This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Weak compactness and the Eisenfeld-Lakshmikantham ... 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 spac...

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, ... sounds and the sounds generated by the robot itself. In synthetic and real experiments, the validity of the approach is illustrated. Besides, the mo del incorporates domain-specific kn...

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