Báo cáo toán học: "Lattice Structures from Planar Graphs" ppsx

Báo cáo toán học: " When structures are almost surely connected" pdf

Báo cáo toán học: " When structures are almost surely connected" pdf

... =1,wehavethatp 1 + αc 1 ≤ [x]e C(x) = c 1 and so c 1 ≤−p 1 /(α − 1) = d 1 . Hence the claim is true when n = 1. Suppose the claim is true for all values less than n.Wehave p n + αc n ≤ [x n ]e C(x) =[x n ]exp(c 1 x ... following: 1. C(x), H(x), and A(x) all have zero radius of convergence; 2. c n ,a n , and n!h n are positive integers; 3. A(x)=exp(H(x)) = exp   j≥1 C(x j )/j  ; 4. lim...
Ngày tải lên : 07/08/2014, 06:20
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Báo cáo toán học: "Lattice walks in Zd and permutations with no long ascending subsequences" ppt

Báo cáo toán học: "Lattice walks in Zd and permutations with no long ascending subsequences" ppt

... parity-reversing. It follows that in the signed sum of walks in W all terms corresponding to walks in N cancel, leaving only the walks that correspond to permutations of {1, 2, ,n/2} with no ascending ... correspondence with lattice walks. Interestingly, however, by providing a combinatorial proof of this correspondence, in section 3 below, we will be giving an indepe...
Ngày tải lên : 07/08/2014, 06:22
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Báo cáo toán học: "lattice tilings by cubes: whole, notched and extended" potx

Báo cáo toán học: "lattice tilings by cubes: whole, notched and extended" potx

... obtain  1 N (ξ)= d  j=1 sin πξ j πξ j − F(ξ) d  j=1 sin πδ j ξ j πξ j , (11) lattice tilings by cubes: whole, notched and extended Mihail Kolountzakis Department of Mathematics 1409 W. Green St., University ... (11)). We find all the tilings discovered by Stein, which, by a deeper theorem of Schmerl [Sch], is the complete list of possible translational tilings (lattice...
Ngày tải lên : 07/08/2014, 06:22
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Báo cáo toán học: "Lattice Paths between Diagonal Boundaries" doc

Báo cáo toán học: "Lattice Paths between Diagonal Boundaries" doc

... lattice paths, d[m, n]=d[m−1,n]+d[m, n − 1] + γd[m − 1,n−1]. The paths take horizontal, vertical, and diagonal steps (a king). If we write = à − 1, then this recurrence enumerates lattice paths ... Brownian motion between parallel reflecting walls, a continuous version equivalent to the asymptotic distribution of the Kolmogorov-Smirnov test. The exact number of ordinary paths betwe...
Ngày tải lên : 07/08/2014, 06:22
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Báo cáo toán học: "Lattice Paths between Diagonal Boundaries" pot

Báo cáo toán học: "Lattice Paths between Diagonal Boundaries" pot

... and that there is a natural bijection between these permutations and lattice paths from (0, 0) to (j, j) using steps (0, 1) and (1, 0) which never go above the main diagonal. Also, let C(x)=  n≥0 c n x n = 1− √ 1−4x 2x . ... diagonal (say it stays below). Suppose it touches the diagonal first at the point (i, i). If there is an entry of rank more than 1 inserted between the ith an...
Ngày tải lên : 07/08/2014, 06:22
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Báo cáo toán học: "Combinatorial Identities from the Spectral Theory of Quantum Graph" potx

Báo cáo toán học: "Combinatorial Identities from the Spectral Theory of Quantum Graph" potx

... orbits. In the present case a family is completely specified by the integer q ≡ q 1 which counts the traversals of the loop 1, i.e., the number of letters 1 in the code word. Each of these q letters ... orthogonal polynomials of integers x with 0 ≤ x ≤ N.Theyhave quite diverse applications ranging from the theory of covering codes [6] to the statistical mechanics...
Ngày tải lên : 07/08/2014, 06:23
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Báo cáo toán học: "Lattice Structures from Planar Graphs" ppsx

Báo cáo toán học: "Lattice Structures from Planar Graphs" ppsx

... the lattice structure comes from orientations of the completion. 2 Lattices of Fixed Degree Orientations A plane graph is a planar graph G =(V, E) together with a fixed planar embedding. In particular ... there may exist rigid the electronic journal of combinatorics 11 (2004), #R15 15 Lattice Structures from Planar Graphs Stefan Felsner Technische Universităat Berlin, Institut fău...
Ngày tải lên : 07/08/2014, 08:20
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Báo cáo toán học: "Matroid inequalities from electrical network theory" docx

Báo cáo toán học: "Matroid inequalities from electrical network theory" docx

... property,orisaHPP matroid. the electronic journal of combinatorics 11(2) (2005), #A1 3 Matroid inequalities from electrical network theory David G. Wagner ∗ Department of Combinatorics and Optimization University ... 1981, Stanley applied the Aleksandrov–Fenchel Inequalities to prove a loga- rithmic concavity theorem for regular matroids. Using ideas from electrical network t...
Ngày tải lên : 07/08/2014, 08:22
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Báo cáo toán học: " 3-Designs from PGL(2, q)" docx

Báo cáo toán học: " 3-Designs from PGL(2, q)" docx

... of orbits of PGL(2,q). There are some known results on 3-designs from PGL(2,q) in the literature, see for example [1, 4, 6]. In this paper, we first determine the sizes of orbits from the actions ... in the above formula. 7 Orbit sizes and 3-designs from PGL(2,q) We use the results of the previous sections to show the existence of a large number of new 3-designs. First we state the...
Ngày tải lên : 07/08/2014, 13:21
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Báo cáo toán học: "Permutation Reconstruction from Minors" pps

Báo cáo toán học: "Permutation Reconstruction from Minors" pps

... ∈ M k (p)andq is obtained from p by deleting i − 2 entries from 1, ,i− 1 and not deleting i}, B = {q | q ∈ M k (p)andq is obtained from p by deleting i − 2 entries from 1, ,i− 1andi}, C = {q ... paper develops in three main directions – permutation reconstruction from multisets and sets of minors as well as permutation reconstruction from sets of minors within certain classes...
Ngày tải lên : 07/08/2014, 13:21
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Báo cáo toán học: "Lattice points in Minkowski sums" pps

Báo cáo toán học: "Lattice points in Minkowski sums" pps

... surfaces. Interdiscip. Inf. Sci., 12(2):93–107, 2006. the electronic journal of combinatorics 15 (2008), #N11 5 Lattice points in Minkowski sums Christian Haase, Benjamin Nill, Andreas Paffenholz ∗ Institut ... 14M25 Abstract Fakhruddin has proved that for two lattice polygons P and Q any lattice point in their Minkowski sum can be written as a sum of a lattice point in P and one...
Ngày tải lên : 07/08/2014, 15:23
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Báo cáo toán học: "Reconstructing permutations from cycle minors" pptx

Báo cáo toán học: "Reconstructing permutations from cycle minors" pptx

... n-cycles or neither is an n -cycle. We consider these two cases separately. Case 1. Suppose neither p nor q is an n -cycle. Let k be the length of the cycle in p (and hence the length of the cycle ... permutation p “contains” the k -cycle (a 1 a 2 . . . a k ), or the k -cycle is “in” p, if it appears in the decomposition of p into disjoint cycles. 2 Reconstruction from Cycle Minors...
Ngày tải lên : 07/08/2014, 21:21
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Báo cáo toán học: "Another characterisation of planar graphs" ppt

Báo cáo toán học: "Another characterisation of planar graphs" ppt

... and at least one of them contains an end of an edge of A  i ∩ B  since at least one of G[X i ∩ Y ] and G[X i ∩ Y ] contains an end of an edge of A i ∩ B. the electronic journal of combinatorics ... 05C10 Abstract A new characterisation of planar graphs is presented. It concerns the structure of the cocycle space of a graph, and is motivated by consideration of the...
Ngày tải lên : 08/08/2014, 11:20
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Báo cáo toán học: "On (δ, χ)-bounded families of graphs" ppsx

Báo cáo toán học: "On (δ, χ)-bounded families of graphs" ppsx

... the second author introduced and studied (δ, χ)-bounded families of graphs (under the name of δ-bounded families) in [10]. The so-called color-bound family of graphs mentioned in the related ∗ Research ... orb(C) is (δ, χ)-bounded we may restrict ourselves to bipartite graphs. We shall make use of this result in proving the following theorems. Similar to the concept of...
Ngày tải lên : 08/08/2014, 14:23
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