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Restricted intersecting families on simplicial complex

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 124 ()

Chvatal's conjecture on the intersecting family of the faces of the simplicial complex is a long-standing problem in combinatorics. Snevily gave an af......

On a poset of trees revisited

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 127 ()

This contribution gives an extensive study on the Wiener indices, the number of closed walks, the coefficients of some graph polynomials (the adjacenc......

Eigenvalues and clique partitions of graphs

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 129 ()

A clique partition epsilon of graph G is a set of cliques such that each edge of G belongs to exactly one clique, and the total size of epsilon is the......

SL(2) intertwining Minkowski valuations in the plane

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 130 ()

The polygon valued Minkowski valuations in R-2 intertwining with the special linear group are completely classified in this paper without any addition......

Limits for embedding distributions

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 127 ()

In this paper, we first establish a version of the central limit theorem for a double sequence {p(i)(n)} that satisfies a linear recurrence relation. ......

A q-analogue of Wilson's congruence

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 130 ()

Let C-n be the set of all permutation cycles of length n over {1, 2, ..., n}. Let f(n)(q) := Sigma(sigma is an element of Cn+1) q(maj sigma) be a q-an......

Phase retrieval from the norms of affine transformations

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 130 ()

In this paper, we consider the generalized phase retrieval from affine measurements. This problem aims to recover signals x is an element of F-d from ......

Parallel translates of represented matroids

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 127 ()

Given an F-represented matroid (M, rho) with the ground set [m], the representation rho naturally defines a hyperplane arrangement A(rho). We will stu......

Stieltjes moment properties and continued fractions from combinatorial triangles

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 130 ()

with T0,0 = 1 and Tn,k = 0 unless 0 < k < n for suitable a0, a1, a2, b0, b1, b2, d and lambda. For n >= 0, denote by Tn(q) the generating fun......

Set-valued Rothe tableaux and Grothendieck polynomials

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 128 ()

The notion of set-valued Young tableaux was introduced by Buch in his study of the Littlewood-Richardson rule for stable Grothendieck polynomials. Knu......

MacMahon's equidistribution theorem for k-Stirling permutations

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 128 ()

The k-Stirling permutations are a generalization of both ordinary permutations and Stirling permutations introduced by Gessel and Stanley. In this pap......

Weakly increasing trees on a multiset

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 129 ()

In this paper, we introduce the concept of weakly increasing trees on a multiset M, which is an extension of plane trees and increasing trees on the s......

Multiple codings of self-similar sets with overlaps

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 124 ()

In this paper we consider a general class epsilon of self-similar sets with complete overlaps. Given a self-similar iterated function system Phi =( E,......

On the moments of normal distributions and numbers of standard Young tableaux

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 130 ()

The exponential generating function of the number tau(n) of standard Young tableaux of size n (or the number of involutions of n letters) is known to ......

Uniform tight frames as optimal signals

期刊: ADVANCES IN APPLIED MATHEMATICS, 2021; 129 ()

Non-orthogonal communication is a promising technique for future wireless networks (e.g., 6G and Wi-Fi 7). In the vector channel model, designing effi......

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