Báo cáo toán học: "Counting the number of elements in the ˜ mutation classes of An −quiver" ppt
Báo cáo toán học: "Using Lov´sz Local Lemma in the space of a random injections" pptx
... r, then H has a perfect matching.Proof of Theorem 3: Let H1be the union of nsvertex-disjoint copies of G and Hbe the complement graph of H. Observe that H has a perfect G-packing if and ... −1+ckn(n)k(nk)(k−1)!, and this number on the right handside converges to e−1/k.Let us turn now to the enumeration of Latin rectangles. An k ×n Latin rectangle is asequence of k permutations of {1, 2, ... described the proof of Lemma 3 in this special setting. The manuscript [14] available on the webgives a detailed proof to Lemma 3. A variant of Lemma 3 has been proved in [1]. The main obstacle...
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Báo cáo toán học: "Two new criteria for comparison in the Bruhat order" pot
... sequence of transpositions, then the poly-nomial (1) is equal to a sum of polynomials of the form (2) and again is TNN.(⇐) Suppose that π is not less than or equal to σ in the Bruhat order. By Theorem ... sequence of transpositions, then the evaluation of (3) at A is equal to a sum of polynomials of the form (4) and again (3) isSNN.(⇐) Suppose that π is not less than or equal to σ in the Bruhat ... sµ+ν>µKν,µsν,where the comparison of partitions ν>µis in the dominance order and the nonnegativeKostka numbers Kν,µcount semistandard Young tableaux of shape ν and content µ.(See e.g....
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Báo cáo toán học: " Tight Quotients and Double Quotients in the Bruhat Order" doc
... standard ordering relative to the root system Φ; however, these two “standard”orderings of V coincide: a point in Span Φ is in the positive span of Φ+if and only if itis in the positive span ... 0, so the hypotheses of the above claim are satisfied, and hence x(µ) x(ν).On the other hand, bearing in mind that µ and ν are in the interior of the same Weylchamber C,andwµ = µ+and wν ... tightness. The first involves the “stratification” of an orbit relative to the action of a parabolic subgroup, and the second involves confining a face of the dominantchamber inside a face of the “double...
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Báo cáo toán học: " Resource reservation for mobile hotspots in vehicular environments with cellular/WLAN interworking" ppt
... when the meanpacket delay decreases with the increase of the cellular channel rate, we can obtain the channel bandwidthto be reserved by locating the intersection point with the line of delay ... advantage of the overlay structure of the cellular/WLANintegrated network in an indoor environment. The high speed of vehicles poses more stringent constraintsfor fast, smooth, and reliable handoff. ... handoff. During a handoff between neighboringcells, the ongoing traffic from the moving network can be buffered at the WLAN router and handed over asa whole. It is known that the knowledge of moving patterns...
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Báo cáo toán học: "Bootstrap Percolation and Diffusion in Random Graphs with Given Vertex Degree" pptx
... Wormald’s theorem to cover the case of an in nite number of variables. The proof of Theorem 5 is based on Theorem 4 and atheorem of Janson [14] for the study of percolation in a random graph ... present the proofs of Theorem 4 and Theorem 5.3.1 Proof of Theorem 4 The proof of Theorem 4 is mainly based on Theorem 9. Indeed we will apply this theoremto show that the trajectory of Id,jthroughout ... ωi′l(kω/n). the electronic journal of combinatorics 17 (2010), #R25 19 The following theorem is a reformulat io n of Theorem 5.1 of [28], modified and extendedfor the case of an in nite number of variables....
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Báo cáo toán học: "Counting the number of elements in the ˜ mutation classes of An −quiver" ppt
... realization having parame ters˜r1, ˜r2, ˜s1and ˜s2such that ˜r1< ˜s1or ˜r1= ˜s1and ˜r2≤ ˜s2. Then Q1is mutation equivalent to Q2if and only if r1+ 2r2= ˜r1+ 2˜r2and s1+ ... Combinatorial Grammar In this section we describe the elements of the mutation classes of type ˜ An−1by acombinatorial grammar. This can be viewed as an exercise in the theory of species(introduced ... we obtaina symmetric quiver of type ˜ A2r−1by taking L and rev(L), and gluing together the end point of L with the start point of rev(L) and vice versa. E.g., the symmetricquiver in Figure...
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Báo cáo toán học: "Counting distinct zeros of the Riemann zeta-function" docx
... βJ+J−1n=12J−n−1βnN(T ). (6)Choose J = 5 and use the trivial inequality βj≥ αjand the bounds for αjto obtain the Theorem.Let Nd(T ) be the number of distinct zeros of ξ(s) in the region 0 <t<T.Thatis,Nd(T ... 1994.Abstract. Bounds on the number of simple zeros of the derivatives of a function areused to give bounds on the number of distinct zeros of the function. The Riemann ξ-function is defined ... M≤n(T ) βn−1N(T ),rendering their bound invalid.Our second method eliminates the loss inherent in the first method. We start with thisCounting distinct zeros of the Riemann zeta-functionDavid...
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Báo cáo toán học: "Enumerating all Hamilton Cycles and Bounding the Number of Hamilton Cycles in 3-Regular Graphs" ppsx
... reversing the numbering of the vertices, by whichinward patterns become outward patterns and vice versa. Note that the number of out-ward patterns and the number of inwa r d patterns can readily ... certainextent) the bad effect of the unpleasant vertices with the good effect of the outwardpatterns.A rough sketch of the analysis of the algorithm We will basically choose an appropriate constant ... (vj, . . . , vk) is an inwardpattern. So every unpleasant vertex corresponds to an inward pattern, and therefore the number of unplea sant vertices is at most the number of inward patterns. By...
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Báo cáo toán học: "Counting words by number of occurrences of some patterns" pps
... positions, of the number of wordsσ with k’s in the positions given by the subset. The quantity Nmis given byNm=pmfr(n − m, k),since inserting m copies of k into any of the first ... studied in detail some properties of the random variable X(τ′), the number of occurrences of a hidden word τ′ in a random k-ary word of length n,including the mean and varia nce of its distribution. ... of k (the positions of the last q − 1 copies of k do not affect the number of occurrences of the pattern), a ndwe let A = ab−(q− 1). The number of occurrences of 1′2p,qthat the k’s of σ...
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Báo cáo toán học: "A calmodulin inhibitor, W-7 influences the effect of cyclic adenosine 3'''', 5''''-monophosphate signaling on ligninolytic enzyme gene expression in Phanerochaete chrysosporium" pot
... important role in initiating the lignin degrading reaction of the fungus, because they can cleave lignin structures extracellularly in the first step of lignin mineralization (Cullen and Kersten ... understood. The lack of knowledge regarding the ligninolytic property of these fungi is an impediment to the development of a highly effective lignin-degrading fungal strain for the construction of an ... report and details of the mechanism, including the effect on 10 Determination of intracellular cAMP level To confirm the effect of W-7, intracellular cAMP levels under the control and W-7-treated...
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