Báo cáo toán học: "RHOMBUS TILINGS OF A HEXAGON WITH TWO TRIANGLES MISSING ON THE SYMMETRY AXIS" pdf

... 3). We use the fact that there is a bijection between rhombus tilings of the hexagon and perfect matchings of the hexagon s ‘dual’ graph G (see Figure 2 for the construction of the dual graph and Figure ... are missing. In particular, Problem 4 of [8] asks for a formula for the number of rhombus tilings of a regular hexagon, where two of the six ce...

Ngày tải lên: 07/08/2014, 06:20

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Ngày tải lên: 05/08/2014, 15:21

... 27-51. Vietnam Journal of Mathematics 34:1 (2006) 41–49 Strong Insertion of a Contra - Continuous Function * Majid Mirmiran Department of Mathematics, University of Isfahan Isfahan 81746-73441, Iran Received ... the insertion of a contra-continuous function between two comparable real-valued functions on such topological spaces that Λ−sets are open [3]. A real-valued fun...

Ngày tải lên: 06/08/2014, 05:20

... f-evaluations of s components of the big vector F(t n e + h n c, Y n ) over a number of available processors. An additional computational effort consists of a recomputation of the variable parameter ... sev- eral processors sharing a common memory with fast data access requiring less communication times, which is suited to the features of the EPTRKN methods. In addi...

Ngày tải lên: 06/08/2014, 05:20

... vertex-copies. Therefore, there exists ζ 5 < 1 such that at least one pair of the configuration will contain a point from each of T 1 u ,T v , and at least one pair will contain a point from each of T 2 u ,T v , with ... evolution of random graphs. Magayr Tud. Akad. Mat. Kutato Int. Kozl. 5 (1960), 17 - 61. [13] P. Erd˝os and A. R´enyi. On the existence of a factor...

Ngày tải lên: 07/08/2014, 06:20

... that if a sequence is log concave then it is unimodal [5]. A sufficient condition for log concavity of a polynomial is given by the location of its zeros: if all the zeros of a polynomial are real ... Combinatorics and Ge- ometry: an update. Contemporary Mathematics, 178, 71-84, 1994. [4] Stanley, R.: Log-concave and unimodal sequences in algebra, combinatorics and ge- ometry....

Ngày tải lên: 07/08/2014, 06:22

... Z n . Remark. Under the assumptions of Theorem 4 max A =maxB, as the two sets cannot have two elements in common (0 and their common maximum) without violating unique represen- tation in A ⊕ B.SooneofmaxA,maxB ... uniquely expressible as a + b, a ∈ A, b ∈ B. We say then that A tiles the integers if translated at the locations B and it is well known that B must be a...

Ngày tải lên: 07/08/2014, 07:21

... indecomposable if and only its associated C1 array is minimal. (Connoisseurs may also note that the set of minimal C1 the electronic journal of combinatorics 12 (2005), #R36 6 a a a a a a a a a a a a a a a a a a a a a a a a z y x Figure ... A non-minimal inflate of a minimal cyclotomic array. It is quite easy to check that the inflate of a cyclotomic...

Ngày tải lên: 07/08/2014, 13:21

... ζ sl(4) (a, b, c, 0, 0, f ) can also be viewed as a Mordell-Tornheim sum with depth 3. The fact that every such sum can be expressed as a rational linear combination of products of single and double ... multiple zeta value of the form ζ sl(4) (a, b, c, d, 0 , f ) with a, b, c, d, f, ∈ N can be expressed as a rational linear combination of products of single and doub...

Ngày tải lên: 07/08/2014, 21:21

... −D θ (G) − A θ (G). We call these sets of vertices the θ-partition classes of G. The Gallai-Edmonds Structure Theorem is usually stated in terms of the structure of maximum matchings of a graph with ... known that the matching polynomial of a graph G is equal to the charac- teristic polynomial of G if and only if G is a forest. To prove Theorem 3.3, the fol...

Ngày tải lên: 07/08/2014, 21:21