Báo cáo toán học: "The complete cd-index of dihedral and universal Coxeter

Báo cáo toán học: "The complete cd-index of dihedral and universal Coxeter groups" docx

... is called the complete cd-index of [u, v], and it is denoted byψu,v(c, d). Noticethat the complete cd-index of [u, v] is an encoding of the distribution of the descent sets of each path ... including a characterization, of the complete cd-index of dihedral intervals. Furthermore, we describe a method to compute the complete cd-index of intervals in universal Coxeter groups. To obtain ... {2} (three of them), and {1, 2} (two of them).3 Complete cd-index 3.1 Complete cd-index of Bruhat intervalsBillera and Brenti [1] provided a way to encode the descents sets of paths in B(u, v)...

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Báo cáo toán học: "The Planarity Theorems of MacLane and Whitney for Graph-like Continua" pdf

... dual of G and let C be a cycle of G. Lemma 3.2 implies that thesubgraphs of H on either s ide of C are connected and, therefore, the edges of H dual tothe edges of C form a bond of H.To complete ... of a set X and a set I of subsets of X so that:1. I = ∅;2. if I ∈ I and J ⊆ I, then J ∈ I;3. for each Y ⊆ X, there is a maximal element of I contained in Y ; and 4. for each Y ⊆ X, if I and ... sum of theB-matroids associated to each of the blocks of G. This implies that the dual M∗is alsoa direct sum of the B-matroids of the duals of the blocks of G.the electronic journal of combinatorics...

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Báo cáo toán học: "The minimum size of complete caps in (Z/nZ)2" ppt

... +12.Proof. Suppose that X is a complete cap. If x and y are distinct points of X, then theorder of x − y is at least p. By Lemma 2.2, the number of points on lines between x and y is at ... lines through x and 0 is at most n2/3, and the number of pointson lines through x and (n/2, 0) is at most n2/6, so the number of points on lines throughtwo points of X,oneofwhichisx,isatmost−1+n2/2. ... equivalent to diversityTo complete the proof of our upper bound, we must complete the proof of Theorem 3.3,whose statement we recall here.Theorem 3.3. Let X ⊂ (Z/pZ)2be a complete cap. The following...

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Báo cáo toán học: "The IC-Indices of Complete Bipartite Graphs" potx

... contradiction and we have the proof of (4).Theorem 3.5. M(Km,n) = 3 · 2m+n−2− 2m−2+ 2 for 2 ≤ m ≤ n.Proof. Let G = Km,n, V (G) = {u1, u2, · · · , um+n} and f be a maximal IC-coloring of G. ... thecolorings of vertices of G are distinct.Proof. Suppose, to the contrary, there exist two distinct vertices u and v such that f(u) =f(v). Now, depending on the distribution of u and v in A ... problem” and he observed the IC-index of cycle Cnis bounded above by n2− n + 1, i.e., M(Cn) ≤n2− n + 1. Later, in 1995, Penrice [12] introduced the concept of stamp covering of G and he...

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Báo cáo sinh học: " The complete genomes of three viruses assembled from shotgun libraries of marine RNA virus communities" ppt

... 2Department of Biology, Memorial University of Newfoundland, St. John's, NL A1B 3X9, Canada and 3University of British Columbia, Department of Earth and Ocean Sciences, Department of Microbiology ... analysis of coastalRNA virus communities. Science 2006, 312:1795-1798.11. Koonin EV, Dolja VV: Evolution and taxonomy of positive-strand RNA viruses – implications of comparative-analysis of amino-acid-sequences. ... long and comprised of a 5' UTR of 334 bp followed bythree putative ORFs (nt position 335–1228, nt position1385–2860 and nt position 2903–4228) and is termi-nated with a 3' UTR of 221...

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Báo cáo hóa học: " The complete genomes of three viruses assembled from shotgun libraries of marine RNA virus communities" pdf

... analysis of coastalRNA virus communities. Science 2006, 312:1795-1798.11. Koonin EV, Dolja VV: Evolution and taxonomy of positive-strand RNA viruses – implications of comparative-analysis of amino-acid-sequences. ... distance of 0.1. See Additional file 2 for complete virus names and accession numbers.Bayesian maximum likelihood trees of aligned RdRp amino acid sequences from the JP-A and JP-B genomes and repre-sentative ... of Vancouver, Brit-ish Columbia and SOG (Strait of Georgia), located in thecentral Strait of Georgia next to Powell River, B.C. (Figure1).The locations of the stations where one or both of...

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Báo cáo toán học: "The linear span of projections in simple C*-algebras " pot

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Báo cáo toán học: "The spectral flavour of Scott Brown''''s techniques " pot

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Báo cáo toán học: "The invariant subspaces of a Volterra operator " pot

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Báo cáo toán học: "A complete treatment of low-energy scattering in one dimension " ppsx

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