Báo cáo toán học: "An asymptotic Result for the Path Partition Conjecture" pps

... b) -partition for every pair (a, b) of positive integers such that a + b = τ(G), then we say that G is τ-partitionable. The following conjecture is known as the Path Partition Conjecture (or the ... section we state our two main theorems, together with the main lemmas and the partition strategy used in the proofs. The proofs are presented in Section 4. The Partition...

Ngày tải lên: 07/08/2014, 13:21

... (17) where the last equation follows from (7). The error term in the first equation holds uniformly for all real numbers x by the comments after (15) and, since | cos(ux)|≤1, the error term in the second ... integral and then use the method of Laplace to give a complete asymptotic expansion of the integral. Among the consequences, we have a complete asymptotic expansion...

Ngày tải lên: 07/08/2014, 06:20

... available to us. The particular fixed point theorem used determines the cor- responding assumptions on the function f in (1.1) that will insure the existence. For example, using the fixed point theorems ... (2.15). In the trivial case, when m = 0, the only solution of (2.15), (1.2) is trivial and t herefore A does not have 1 for an eigenvalue. In the event that m = 0 and us...

Ngày tải lên: 22/06/2014, 22:20

... Embedding Algorithm for Super codes and Sucypercodes 203 Proof. We treat only the item (i). For the item (ii) the argument is similar. Let X ∈ C sp but λ π (X) /∈ C h|A ∗ π . Then, there exist u 0 ,v 0 ∈ ... C h|A ∗ π . Suppose the contrary that there exists X ∈ C i|A ∗ π but X/∈ C h|A ∗ π .LetA = {a, b}. Then, for all w in A ∗ π , w has the form w = a m b n with m, n ≥ 0. Sin...

Ngày tải lên: 06/08/2014, 05:20

... 4 from the result in [4]. 3 Proof of Theorem 1 To prove our main result, we first need to recall some standard definitions. Given 0 <p≤ 1, for any positive integer n we write G n,p for the random ... pairwise disjoint transversals. In other words, this version of the conjecture states that if  is the oriented girth of  G then  is the largest k ∈ for which there exists a...

Ngày tải lên: 07/08/2014, 07:21

... does not change the asymptotic results. The rest of the paper proceeds as follows. We first prove the theorem above for the specific case of f(n)=n p and p>1. We show that the asymptotic approximation ... and the asymptotic form of their corresponding scale functions q.Herep and α can be any constants for which the corresponding feedback function satisfies condition...

Ngày tải lên: 07/08/2014, 08:20

... be the number of cells (including the possible circle at the end of the row) to the right of s. Let a lso ℓ Λ (s) be the number of cells (not including the possible circle at the bottom of the ... P [k],+ j−1,i−1  The first equality comes from Lemma 12, the second by induction on i for ∆ [k],+ j,i−1 and by the induction hypothesis for ∆ [k−1],+ j−1,i−1 . We then re...

Ngày tải lên: 07/08/2014, 21:21

... token for the semi-colon. Therefore, since the output equipment has not been modi- fied, Cyrillic material in the ranked code still would print in cryptographic form, e.g., "56EU" for ... Cyrillic letter Й. The symbols circled in the "Lower Case" column are the normal correspondents of the tokens. For example, while 0010011 is defined as a token...

Ngày tải lên: 07/03/2014, 18:20

... determined whether there is only one result value in a given subwlndow (i.e., is the result uniform on the window?) or whether there is more than one result. (7) If there is more than one result ... SCL and CCL. The current version of UTTER uses null lists as the initial SCL and CCL, and therefore forces the user to build these lists via the SEL and CEL. This implies...

Ngày tải lên: 24/03/2014, 05:21

... take the view that the computation of partial semantics in the first step should not be seen as violating the strong separation; rather, we distinguish the two steps of the process in terms of the ... compute the full time and date the expression corresponds to. If the utterance in (1) was produced, say, in July 2006, then we might expect the interpretation to be equivale...

Ngày tải lên: 31/03/2014, 01:20