Báo cáo toán học: "Derangement Polynomials and Excedances of Type B" ppsx

... the derangement polynomials of type B based on the number of weak excedances. As pointed out by Chow [8], the number of ex- cedances and n minus the number of weak excedances of type B are equidistributed ... extension of the decomposition of derangements given by Kim and Zeng [11] in their combinatorial proof of (1.3). Combinatorial Proof of Theorem 3.3. First,...

Ngày tải lên: 08/08/2014, 01:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... Doctoral Program of Higher Education of China (No. 20020284009), NNSF of China (No. 10331030) and by the Nanjing I nstitute of Technology of China. The authors would like to thank Professor Robert ... ⇒ (1) and (3). Since X is regular, aR is a summand of R R for any a ∈ X. Hence (1) and (3) hold. (3) ⇒ (4). Using [22, Lemma 1.1] and the proof of [17, Lemma 2.5 (3)], it i...

Ngày tải lên: 06/08/2014, 05:20

... the latter generalizes a result of Meier- ling and Volkmann [9] and Cyman, Lemanska and Raczek [2] regarding γ k and the former generalizes a result of Favaron and Kratsch [4] regarding ir 1 . ... leaves. A class of examples shows that the latter bound is sharp. The second inequality generalizes a result of Meierling and Volkmann [9] and Cyman, Lema´nska and Raczek [2]...

Ngày tải lên: 07/08/2014, 15:22

... Identi®cation of the sipV(ba) and sipW(ba) gene regions of B. amyloliquefaciens. (A1/B1) PCR reactions with genomic DNA of B. amy- loliquefaciens and the degenerative primers V1/V3 and V2/V3 or W1 and ... PstIandEcoRI in case of sipV or EcoRI-SacIincaseofsipW and ligated into corresponding sites of pUC18 DNA. The ligation mixes were used for PCR with oligo nucleotides Uni1...

Ngày tải lên: 21/02/2014, 03:20

... faint 28 kDa band and additional bands were also detected. A clear 28 kDa band and addi- tional bands were observed from cotyledons obtained 5 days after imbibition. The identity of the 28 kDa protein ... N-terminal sequence (LPKSFDART) of purified enzyme and a conserved sequence (AGLPSSKN) in the C-terminal region of the catalytic domain of plant CBCP. The sequences of the sen...

Ngày tải lên: 16/03/2014, 04:20

Ngày tải lên: 05/08/2014, 09:46

... respectively the set of successors of v,the set of predecessors of v and the set of neighbors of v in G.Themaximum degree and minimum degree of a graph G are respectively denoted by ∆(G )and (G). We denote ... arcs of A  . Let G be an oriented graph and f be an oriented arc-coloring of G. For a given vertex v of G,wedenotebyC + f (v)andC − f (v) the outgoing color s...

Ngày tải lên: 07/08/2014, 13:21