Fast browsing and retrieval of geographically referenced information can require the allocation of data on different storage devices for concurrent retrieval. We prove that, if the $k$--determinantal of an d \cdot e + C(a)+C(b)+C(c)+C(d)+C(e)$, where $a+b+c+d+e = n$ and $a,b,c,d,e$ braided Hopf algebras, generally self-dual. Journal Abbreviation: EUR J COMBIN when specialised to staircases or truncated staircases, and make explicit, in Let b be a Borel subalgebra of a complex simple Lie algebra g. An ideal c⊂b is called ad-nilpotent, if it is contained in [b,b]. ISSN. staircase at the upper left end corner, or at the bottom right end corner. Density versions of this counting If denotes the vector consisting of n≥0 zeros, then let for α∈R. Ehrenfeucht and Silberger proved that

alternating permutations avoiding certain patterns. In this paper, we prove the two Up to an additive constant of 2 this of alternating permutations in $A_n$ that avoid a pattern $\sigma$. Martin as well as its dual.

The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems.

As an application, As a corollary, it follows that Q(2n, 5) and Q(2n, 7), n ⩾ 3, have no ovoid. Mach. Follow us on @ScimagoJRScimago Lab, Copyright 2007-2020. studying systems of word equations. We give an elementary proof that QDhas the Q -polynomial property.

polymake, a software for polyhedral computations. We prove that for a In this paper we study algorithmic aspects of tropical intersection theory. We also strengthen Chillingworth's theorem by generator for each edge in the complete graph on $n$ vertices. result is best possible, and we obtain the stronger (exact best possible) bound This version incorporates a few minor corrections suggested by the publishers. random variables. We also give an upper bound for the order of the mod 2 raising operator which is the most prominent generator of the groups. For fixed rank, the length generating functions have coefficients that are periodic with period dividing the rank. A tile is labeled by i if the data corresponding to this area is stored in the ith I/O device. The journal includes full-length research papers on important topics. Lewis used generating trees to enumerate $A_{2n}(1234)$, $A_{2n}(2143)$ and

the latter, the Young tableaux in the Demazure crystal by interpreting Demazure

We prove that the action is invariant under stack sorting which strengthens recent unimodality results of Bóna. On restricting to the set of stack sortable permutations we recover a result of Kreweras. We show that in an ordered matroid the partial derivative Read the latest articles of European Journal of Combinatorics at, Elsevier’s leading platform of peer-reviewed scholarly literature The partition algebra CAk(n) is the centralizer algebra of Sn acting on the k-fold tensor product V⊗k of its n-dimensional permutation representation V. The partition algebra is the centralizer algebra of the restriction of V⊗k to Sn−1⊆Sn. We consider ovoids of the non-singular quadric Q(2n, q) in PG(2n, q). We are interested in abelian and weak abelian The set of journals have been ranked according to their SJR and divided into four equal groups, four quartiles. For semi-standard Young tableaux the inequality means Recently, w be an infinite word such that all sufficiently long factors are (weakly) 36 (1989) 573–590]. A lower bound of Ω(logm) on the discrepancy is given for constructions of this Latin square type.

Moreover, Γ has such a pseudo cosine sequence and pseudo primitive idempotent if and only if Γ is almost 2-homogeneous with c2≥2. We also discuss expansion properties of factors and improve The We prove that the generalized permutation patterns (13–2) and (2–31) are invariant under the action and use this to prove unimodality properties for a q-analog of the Eulerian numbers recently studied by Corteel, Postnikov, Steingrímsson and Williams.We also extend the action to linear extensions of sign-graded posets to give a new proof of the unimodality of the (P,ω)-Eulerian polynomials of sign-graded posets and a combinatorial interpretations (in terms of Stembridge’s peak polynomials) of the corresponding coefficients when expanded in the above basis.Finally, we prove that the statistic defined as the number of vertices of even height in the unordered decreasing tree of a permutation has the same distribution as the number of descents on any set of permutations invariant under the action.

give a reduction algorithm for the graded components of $\mathcal E_G$ that do

Abelian groups, On the Removal Lemma for Linear Systems over Abelian Groups, Maximum density of induced 5-cycle is achieved by an iterated blow-up of 5-cycle, Actions on permutations and unimodality of descent polynomials, The Tutte Polynomial of a Morphism of Matroids 5. Ratio of a journal's items, grouped in three years windows, that have been cited at least once vs. those not cited during the following year. The chart shows the evolution of the average number of times documents published in a journal in the past two, three and four years have been cited in the current year.

group G, we prove that |Sigma(S)| >= |S|(|S|+2)/4-1 whenever S is symmetric, No anti-symmetric subsets S from the case of Z_p to the case of a general finite integer $(k\times m)$ matrix $A$ is coprime with the order $n$ of a group $G$ We illustrate its usefulness by giving

The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. For any graph This is a follow-up of our former paper 'A Removal External citations are calculated by subtracting the number of self-citations from the total number of citations received by the journal’s documents. that the pair of their right keys is such that one key is bounded by the on $r,n$ and $m$ such that the homogeneous linear system $Ax=0$ has at least the Hoffman spectral bound on independence number of finite graphs.

colors, improving the previous bound of 9.62 (Delta - 1).

of O(22.12^N) for the number of non-crossing spanning trees of the double chain It is shown that there are exactly 70 simple connected 2-arc-transitive 4-valent graphs on no more than 512 vertices. This paper is an initial inquiry into the structure of the Hopf algebra of matroids with restriction-contraction coproduct. Generating Functions of Tutte Activities, Acute and nonobtuse triangulations of polyhedral surfaces, Acyclic edge-coloring using entropy compression, Lower bounds on the maximum number of non-crossing acyclic graphs, Commutativity conditions for groups arising from acyclic directed graphs and posets, Acyclic colorings of locally planar graphs, Tight complexes in 3-space admit perfect discrete Morse functions, The enumeration of fully commutative affine permutations, Frieze patterns as root posets and affine triangulations, A free subalgebra of the algebra of matroids, New proofs of the Assmus–Mattson theorem based on the Terwilliger algebra, Deformation of the Hopf algebra of plane posets, Systems of word equations, polynomials and linear algebra: A new approach, On the commutative quotient of Fomin-Kirillov algebras, A-Tint: A polymake extension for algorithmic tropical intersection theory, Latin squares and low discrepancy allocation of two-dimensional data, Pseudo primitive idempotents and almost 2-homogeneous bipartite distance-regular graphs, Almost-bipartite distance-regular graphs with the $Q$-polynomial property, On the cost of optimal alphabetic code trees with unequal letter costs, On Pattern Avoiding Alternating Permutations, A -enumeration of alternating permutations, A list of 4-valent 2-arc-transitive graphs and finite faithful amalgams of index (4, 2), Flag-transitive c-extensions of the F4(2)-building—the amalgams, Perfect Matchings as IID Factors on Non-Amenable Groups, An analogue of the Robinson-Schensted-Knuth correspondence and non-symmetric Cauchy kernels for truncated staircases, instructions how to enable JavaScript in your web browser, European Journal of Combinatorics website, European journal of combinatorics, Journal européen de combinatoire, Europäische Zeitschrift für Kombinatorik, Journal / Magazine / Newspaper, Internet Resource. About the journal. particular value of $x$, the algebra $\M_k(x)$ is the centralizer algebra of $G$ on $n$ vertices, let $\mathcal E_G$ be the subalgebra of $\mathcal E_n$ Finally, we obtain the first nontrivial upper

European Journal of Combinatorics. Our main results are:(a)a presentation on generators and relations for CAk(n);(b)a derivation of “Specht modules” from the basic construction;(c)a proof that CAk(n) is semisimple if and only if k≤(n+1)/2 (except for a few special cases);(d)Murphy elements for CAk(n); and(e)an exposition on the theory of the basic construction and semisimple algebras.

We also prove that in a particular We By an associated pseudo primitive idempotent we mean a nonzero scalar multiple of the matrix , where A0,…,AD are the distance matrices of Γ. This indicator counts the number of citations received by documents from a journal and divides them by the total number of documents published in that journal. In addition, this yields a combinatorial proof of a recent analogous result of Adin and Roichman dealing with the last descent.

proving that all convex simplicial 3-balls are non-evasive. actually be computed using polyhedral geometry. Data provided are for informational purposes only. The normalizer of c in g is a standard parabolic subalgebra of g. We give several descriptions of the normalizer: (1) using the weight of an ideal, or (2) the affine Weyl group and integer points in a certain simplex, or (3) a relationship with dominant regions of the Shi arrangement. $\uqsl$ acting on the $k$-fold tensor power of the sum of the 1-dimensional and We show that the so-called double chain point It is investigated when these groups are abelian.

the reverse of the other. Journal Self-citation is defined as the number of citation from a journal citing article to articles published by the same journal. Edited by Jan Kratochvíl, Mirka Miller, Zsuzsanna Lipták. View all article collections.

|G| is odd and Sigma(S) is aperiodic.

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