coefficients reconfiguration and the vogel number
Báo cáo toán học: "Bipartite Coverings and the Chromatic Number" ppsx
... Cj is equal to the number that cut Dj and Cj = Aj If there is such a j, then the i + 1st co-ordinate of the color of v is j and S(i + 1, v) = S(i, v) ∩ Cj If there are many candidates for j, ... graphs (Ai , Bi ), i m The Alon-Saks-Seymour conjecture then states that the chromatic number of G is at most m + We prove the following theorem which immediately implies Theorem Theorem Let G be a ... before, define Ct and Dt Because v is colored in this step, the number of bipartite graphs in F (i, v) that cut Ct is either smaller than the number which cut Dt or they are equal and Ct = At Knowing...
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Tài liệu Accounting Practices and the Market Valuation of Accounting Numbers: Evidence from Indonesia, Korea, Malaysia, the Philippines, Taiwan, and Thailand doc
... together for the six countries First, we focus on the coefficients and the significance of regressions (2), (3), and (4), and then we analyze the relative and incremental explanatory power.8 Coefficients ... accounting standards in Indonesia, Malaysia, and Thailand (although Thailand has also been influenced by US GAAP) US GAAP, on the other hand, was the primary basis in the Philippines and Taiwan ... values from the other countries Therefore, the usefulness of accounting for firm valuation may differ across countries as well On the other hand, the accounting standards developed in these countries...
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Governing Electronically E-Government and the Reconfiguration of Public Administration, Policy and Power potx
... hold the gun; the gun is another object because it has entered into a relationship with you The gun is no longer the gun-in -the- armory or the gun-inthe-drawer or the gun-in -the- pocket, but the ... intentions through the actions of the material object, a locked door Consider the occasion when the owner comes home to unlock and enter their home, and finds s/he has lost their key The locked door ... the use of tools and reflect on the way in which instruments can transform the way in which we understand and see the world In a very literal way, the invention of the telescope and microscope transformed...
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Cancer Research UK’s strategy 2009–2014: Cancer Research UK’s aim is to reduce the number of deaths from cancer. Our future plans are ambitious, but they are in line with the challenge and the responsibility we face. docx
... survival and in preventing thousands of new cases of the disease, both in the UK and across the world Cancer Research UK has been at the heart of this progress thanks to the sustained support and ... progress and has saved the lives of hundreds of thousands of people in the UK and many millions more around the world • We were the first to discover the breast cancer susceptibility gene BRCA2 and ... information on cancer in the UK, and is regularly quoted by the media, other charities and the Department of Health Through our media and PR work we have established the Charity as the authoritative...
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doctor who and warriors' gate (number 71 in the doctor who library)
... acceptable limits and restored the safety over-rides He heard the voice of the Brother who’d been quartering the massive southern continental plain ‘I had them, and I lost them They could have ... adulthood), and then killed the child in front of him And then called for another The memory made Biroc want to roar and to fight, as always But there was no fighting, there were only the chains ... would be determined by the courses and actions of all the other grains – and not by any magic, but because of the simple fact that they were all in the same jar together The number of possible futures...
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Báo cáo hóa học: "INEQUALITIES INVOLVING THE MEAN AND THE STANDARD DEVIATION OF NONNEGATIVE REAL NUMBERS" doc
... differentiable If the function J has at u a relative minimum with respect to the set U and if the constraints are qualified, then there exist numbers λi (u), ≤ i ≤ m, such that the Kuhn-Tucker conditions ... compact set and F is a continuous function on Ᏹ Then, there exists x0 ∈ Ᏹ such that F(x0 ) = minx∈Ᏹ F(x) The proof is based on the application of the necessary condition given in the preceding theorem ... = i =1 are satisfied The convex constraints ϕi in the above necessary condition are said to be qualified if either all the functions ϕi are affine and the set U is nonempty, or there exists a point...
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Báo cáo hóa học: " THE LEFSCHETZ-HOPF THEOREM AND AXIOMS FOR THE LEFSCHETZ NUMBER" pot
... satisfies the hypotheses of the Lefschetz-Hopf theorem Thus, the homotopy and additivity properties of the fixed-point index imply that the normalization property follows from the Lefschetz-Hopf theorem ... the characterization of the reduced Lefschetz number in Theorem 1.1 to prove the Lefschetz-Hopf theorem in a quite natural manner by showing that the fixed-point index satisfies the axioms of Theorem ... characterize the reduced Lefschetz number as follows Theorem 1.1 The reduced Lefschetz number L is the unique function λ from the set of self-maps of spaces in Ꮿ to the integers that satisfies the following...
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Báo cáo toán học: "TIGHT UPPER BOUNDS FOR THE DOMINATION NUMBERS OF GRAPHS WITH GIVEN ORDER AND MINIMUM DEGREE" pdf
... 3.1a 3.1a 3.1a 3.1 3.1 3.1 3.1 3.1 3.1 The number in the (n, δ)-th cell is the number of the proposition which justifies the corresponding value in Table The letter code is as follows: a b c d ... either regular or almost regular The vertices are numbered 0, 1, , n − and the i-th row represents the neighbors of the vertex in the first entry of that row These graphs were found by Brendan ... disjoint union of the closed neighborhood N [x] of x and a set A of cardinality Consider the × 12 matrix M whose rows are indexed by the elements of A and the columns are indexed by the elements of...
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Báo cáo toán học: "Asymptotics for the Probability of Connectedness and the Distribution of Number of Components Jason P. Bell Department of Mathem" doc
... have ρ = • In cases LC and UC, the next theorem proves the equivalence of the conditions under the additional assumption that lim cn−1 /cn exists Theorem Suppose that R > and C(R) converges Let ... sorts provide easy examples for the application of Theorem These and other graphical examples are discussed by Compton [10] and by Knopfmacher and Knopfmacher [18] in their interesting papers Inevitably, ... occur is deferred to the last section because it involves a series of fairly lengthy constructions and is not needed for the proof of the other theorems The case R = of Theorem was done by Bell...
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Báo cáo toán học: "Maximising the permanent of (0,1)-matrices and the number of extensions of Latin rectangles" docx
... consequence of the work of Heilmann and Lieb [8], while the second is due to Joni and Rota [9] Theorem For any R ∈ L(k, n) where k ≥ 2, the roots of ρ G(R), x are real and lie in the open interval ... if, of the two paths they correspond to, one is a maximal proper subpath of the other The root of T (R, v) is the vertex corresponding to the empty path Let ηv,r be the number of closed walks ... similarly handled for other R ∈ L(k, n) then Theorem would suffice If I0 the electronic journal of combinatorics (1998), #R11 20 §9 References [1] M Abramowitz and I A Stegun, Handbook of Mathematical...
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Báo cáo toán học: "Tight Upper Bounds for the Domination Numbers of Graphs with Given Order and Minimum Degree, II." pdf
... , and thus γ(n, δk (n)) ≤ k But γ(n, δk (n)) ≥ k by definition of δk (n) The theorem therefore follows In the next section we show that if k = then the above theorem holds for n ≥ Note that the ... − , the electronic journal of combinatorics (2000), #R58 15 s There are at most elements for each of the types (1), (2), (3) and (4) There are at most s elements for each of the types (5) and ... − 3/2 then γ(n, δ) ≤ This gives the desired upper bound for δ3 (n) The lower bound follows from Corollary Using Theorem we are able to establish the following result Theorem 10 If n ≥ then γ(n,...
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Báo cáo toán học: "On the upper and lower chromatic numbers of BSQSs(16)" ppt
... or χ = ¯ The next theorem completes theorem and gives important information about the chromatic spectrum of BSQSs(16) Theorem The upper chromatic number for all BSQSs(16) is χ = 3; the lower ... C-edges and D-edges at the same time then it is called a bi-stable set A D-hypergraph is a classical hypergraph [1] and its lower chromatic number is the chromatic number introduced by Erd˝s and ... coloured with the colours (1), (2) and (3) is 20 and the number of bi-chromatic blocks coloured with the colours (2) and (3) is at least and so |TX1 ∪X2 ∪X3 | ≥ 27 and this is absurd Let us consider...
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Báo cáo toán học: "On Computing the Distinguishing Numbers of Trees and Forests" pps
... ISOMORPH(Fi ) assigns the same label to their roots Conversely, if T1 and T2 belong to the same Fi , they must be both unicentral or both bicentral Furthermore, the roots of T1 and T2 lie on the same level ... Cowen The distinguishing number of the hypercube Discrete Mathematics, 283:29–35, 2004 [4] M Chan The distinguishing number of the augmented cube and hypercube powers Submitted [5] M Chan The distinguishing ... for i = 1, The following must be true Lemma 4.3 Suppose T1 and T2 are tree components of F Then T1 ∼ T2 if and only if = i the trees belong to the same Fi and ii in FIND ISOMORPH(Fi ), the roots...
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Báo cáo toán học: "Chromatic Graphs, Ramsey Numbers and the Flexible Atom Conjecture" potx
... c ∈ R and realize the above as a quadratic polynomial in c Since the coefficient of c2 is negative, the function is concave down By finding the zeros of this polynomial in terms of n and then maximizing ... Bm and m > , then (vj , vi ) ∈ Bm ; (ii) if (vi , vj ) ∈ Bm and ≤ m ≤ , then (vj , vi ) ∈ Bm+ ; (iii) if (vi , vj ) ∈ Bm and < m ≤ , then (vj , vi ) ∈ Bm− Thus we have Bm˘ = Bm+ for m ≤ Then ... superficial changes to the remainder of the proof we establish the result for the nonsymmetric case Thus we have the following: the electronic journal of combinatorics 15 (2008), #R49 Theorem Any finite...
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Báo cáo toán học: "The Ramsey number of diamond-matchings and loose cycles in hypergraphs" potx
... [3], Green [12]) and t = (Alon and Frankl [1] and Gy´rf´s a aa a a [13]) Next we state and prove the Ramsey-type form of our main result, it determines the exact value of the Ramsey number of a diamond-matching ... that there is a monochromatic k-matching and this gives a monochromatic kDr , finishing the proof In fact, the proof method of Theorem can be copied to determine the 3-colored Ramsey number of the ... to the blue diamonds meeting both X and Y we can use the blue diamonds of Si Thus we may n assume that m < 2r−1 − |X| If M is red then the diamonds of M together with the red diamonds of the...
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Báo cáo toán học: "Updown numbers and the initial monomials of the slope variety" ppsx
... Clearly, if w ≈ w ′ , then either both w and w ′ are (primitive) G- (R-)words, or neither are; therefore, for all P ⊂ N, the set GP is determined by (and in bijection with) G|P | These permutations ... primitive R-word, then so are wL and wR Proof We will show that if w is a primitive G-word, then so is wL ; the other cases are all analogous If n = 3, then the conclusion is trivial Otherwise, let ... G-words and decreasing 012-trees (Theorem 7) and between R-words and decreasing 012-trees (Theorem 8) Our the electronic journal of combinatorics 16 (2009), #R82 constructions are of the same...
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Báo cáo toán học: "On the determining number and the metric dimension of graphs" pot
... computes the determining number of the hypercube Qn Independently, Harary [13] and Erwin and Harary [11] defined an equivalent set and an equivalent number that they called the fixing set and the fixing ... Thus, the determining number of the wheel graphs is always independently of the number of vertices On the other hand, Shanmukha and Sooryanarayana [24] show that β(W1,n−1 ) increases with the number ... Pm The connection between the determining number and the metric dimension, and Theorem enable us to compute the determining number of the following Cartesian products the electronic journal of...
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Báo cáo khoa học: "Impact of different leaf velocities and dose rates on the number of monitor units and the dose-volume-histograms using intensity modulated radiotherapy with sliding-window technique" potx
... dose areas) The higher the DR and the lower the LV, the higher was the dose given to the PTV and OAR The D55 and D90 of the rectum differed by 0.2% – 3.7% and 0.3% – 3.9% relative to the mean over ... analyse the impact of different DR and LV on the "actual fluence maps" using the same "optimal fluence map" and thereby the impact on the number of monitor units and the dose-volume-histogram of the ... each other by use of the gamma index evaluation with mm and 3% [4-6] The relation between the gamma index and the number of monitor units were analysed The number of monitor units depends on the...
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báo cáo khoa học: "Note Selection for increased and decreased total number of young born in the first three parities in mice" doc
... a randombred population of mice Two of these divergently selected for large (L and small (L-) reproduction rate, the selection ) + criterion being the total number of young born alive in the ... detected between L’ and L- in that period of selection The difference increased slowly and reached the highest value in generation 13 Regression of the divergence between the high and low lines on ... occurrence and the total number of lambs born per ewe over the first three lambings All these results suggest that indirect selection for high fertility in the L- line may have been opposing the selection...
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