Báo cáo toán học: "Counting 1324-avoiding Permutations" docx

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

... 13, 1994. Abstract. Bounds on the number of simple zeros of the derivatives of a function are used to give bounds on the number of distinct zeros of the function. The Riemann ξ-function is defined ... generically, the left side of (7) equals N (j) s (T ). In other words, the zeros of the derivatives of a generic function are all simple, except for thos...

Ngày tải lên: 07/08/2014, 06:20

... Counting two-graphs related to trees Peter J. Cameron Submitted: October 19, 1994; Accepted: February 8, 1995. Abstract. In an earlier paper, I showed that the classes of pentagon-free two-graphs and ... J. Seidel, A survey of two-graphs, pp. 481–511 in Proc.Int.Colloq.TeorieCombi- natorie, Accad. Naz. Lincei, Roma, 1977. 10. J. J. Seidel and S. V. Tsaranov, Two-graphs, related gr...

Ngày tải lên: 07/08/2014, 06:20

... incident with a common vertex. 3.2 Proof of Theorem 4 Let H be a Hamilton cycle chosen uniformly at random from the set of (n − 1)!/2 Hamilton cycles of K n .Let{(e i ,f i ): 1≤ i ≤ N} be an enumeration of ... Mathematics 62 (1986) 29-33. [8] L.P´osa ,Hamilton circuits in random graphs,Discrete Mathematics 14 (1976) 359-64. [9] P.Winkler, Private Communication. MULTICOLOURED HAMILTON...

Ngày tải lên: 07/08/2014, 06:20

... 3k)inv the ith element and the right element from the (k + 2)th, (k + 4)th, , 3k-th segment.) Thus w does not Counting Pattern-free Set Partitions II: Noncrossing and Other Hypergraphs Martin ... parallel. Partitions, graphs, and other 12-free structures are usually called noncrossing. Simion [21] gives a nice survey on noncrossing partitions. Before proceeding to hy...

Ngày tải lên: 07/08/2014, 06:20

... August 3, 2000 Abstract Let d(n) count the lattice paths from (0, 0) to (n, n) using the steps (0,1), (1,0), and (1,1). Let e(n) count the lattice paths from (0, 0) to (n, n)with permitted steps ... of lattice paths defined on various sets of permitted steps which yield path counts related to the Narayana polynomials. Mathematical Reviews Subject Classification: 05A15 Key words: La...

Ngày tải lên: 07/08/2014, 06:20

... interested in this paper in the number of simplexes contained in some H⊆ n , which we denote by simp(H). This investigation is particularly interesting for H spanning n and containing no collinear vectors. Our ... contains no collinear vectors, simp(H) is minimal if and only if H is contained in two planes intersecting in H, one of contains exactly three vectors of H; i.e. precise...

Ngày tải lên: 07/08/2014, 06:22

Ngày tải lên: 07/08/2014, 06:23

... are therefore hexads. Moreover, it is impossible to move from one hexad to another in the game (because a pair of hexads contain at most four common points). Hence to show that the hexads are the ... on hexads, we can choose co-ordinates so that any given hexad forms the left pair of columns (the left brick) of the Minimog. Moreover, the M 12 - stabilizer of a hexad is transitive on the...

Ngày tải lên: 07/08/2014, 06:23

Ngày tải lên: 07/08/2014, 06:23

... +1by 2. Therefore, 1324-avoiding permutations in S l,r with k +1 as the second entry are in one-to- one correspondence with 1324-avoiding permutations in S l−1,r . Similarly, 1324-avoiding permutations ... memory. Computing the number of 1324-avoiding permutations of length 20 took about 5 hours. Although we have obtained a recurrence formula for the number of all 1324-avoiding perm...

Ngày tải lên: 07/08/2014, 07:21

... electronic journal of combinatorics 10 (2003), #R40 10 Asymptotics of Permutations with Nearly Periodic Patterns of Rises and Falls Edward A. Bender Department of Mathematics University of California, ... N a N b ···N z .Equivalently,we can work with T −1 and thus deal with eigenfunctions of the differential operators N −1 d and N −1 u ,whichared/dx and −d/...

Ngày tải lên: 07/08/2014, 08:20

... be worth mentioning that the cube recurrence can be written in a slightly more symmetrical fashion than above: the families of functions (f i,j,k ) satisfying the cube recurrence can be made to ... 2004 Keywords: cube recurrence, grove, Gale-Robinson sequence MR Subject Classifications: 05A15, 05E99, 11B83 Abstract We construct a combinatorial model that is described by the cube recurr...

Ngày tải lên: 07/08/2014, 08:22

... Schmidt. Restricted permutations. European J. Combin., 6(4), 383–406, 1985. the electronic journal of combina torics 12 (2005), #R39 18 Counting segmented permutations using bicoloured Dyck paths Anders ... 132-avoiding permutations and Dyck paths, and one between 123-avoiding permutations and Dyck paths. We obtain two new results by extending these bijections: – The 132 -...

Ngày tải lên: 07/08/2014, 13:21