Báo cáo toán học: "Some design theoretic results on the Conway group ·0" pps

... analogous conditions for other elements of the group and to certain subgroups. In Section 2 we recall some notation along with the basic construction of the Leech lattice and the group ·0. In Section ... Section 5 we see how these results restrict to some subgroups of ·0. 2 The Leech Lattice and ·0 In this section we shall define the Leech lattice and the Conway group ·...

Ngày tải lên: 08/08/2014, 11:20

... been done for nonoscillation of all solutions of nonlinear functional differential equations. In this connection, Parhi 10 established some sufficient conditions for oscillation of all solutions ... Solutions of 1.1 In this section, we obtain sufficient conditions for the nonoscillation of solutions of 1.1. Theorem 2.1. Let qt ≤ 0.Iflim t →∞ ft/|pt|∞, then all bounded solutions .....

Ngày tải lên: 22/06/2014, 02:20

... 3, the sections S (n) i exhibit the following property: they form a dissection of an (n −1)-dimensional simplex (Section 1) or parellelipiped (Section 2). In particular, the union of the sections ... precisely the following 2(n −i) + 1 insertions: (i) insert either 1 or 1 after the smaller element of one of the ascents of τ; (ii) insert 1 at the front of τ. The initial condi...

Ngày tải lên: 07/08/2014, 06:22

... well-known results on graph spectra. The first one, following from Frobenius’s theorem on nonnegative matrices, asserts that if H is a proper subgraph of a connected graph G, then µ (G) > µ (H) . The ... (H) . The second one, due to H. Sachs [7], asserts that if G is a connected nonbipartite graph, then µ (G) > −µ min (G) . Our main result is the following theorem. the el...

Ngày tải lên: 07/08/2014, 15:22

... 4 Further locality results for the Pr¨ufer Code Theorem 2 completely characterises the distribution of ∆ under the Pr¨ufer Code when the mutation position µ is equal to one. In this section, we ... partition of [1, n]; secondly, the {M S } partition of M. 4.1 Additional notation 4.1.1 The {X, y, Z} partition of [1, n] Our first piece of additional notation is motivated by the u...

Ngày tải lên: 07/08/2014, 15:22

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20

... N ∗ uv = ∅, the P 1 -component consisting of the degree-2 vertex in the copy of Z, are precisely the components of G[S] minus the path-component P and the P 1 -component consisting of the vertex ... Furthermore, ∆(G  ) ≥ 3 as the link vertex in the copy of X has degree at least three. The components of G  [S  ], other than the P 2 -component consisting of the two d...

Ngày tải lên: 07/08/2014, 15:23

... 4 1 2 3 4 5 6 7 8 9 10 11 12 Fig. 7a: The first induction step. 1 2 3 4 5 6 7 8 Fig. 7b: The second induction step. Proof: We use induction on the size of C, growing C by one vertex at each step. The base case |C| ... C, of size k, for which the induction hypothesis holds; let P be the desired partion for C of size k. We consider different induction steps, depending on whether v...

Ngày tải lên: 08/08/2014, 01:20

... representation of g on V [P ] if and only if P satisfies the diamon d, crossing, and structure conditions. If the given conditions hold, the set {v s } s∈P is a weight basis of the given representa- tion, ... interpretation of the Gelfand-Tsetlin formulas, which sheds new light on them, we show that the corresponding construction relies on nothing more than a simple rational...

Ngày tải lên: 08/08/2014, 12:22