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......
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......
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......
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......
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. ......
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......
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 ......
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......
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......
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......
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......
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......
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,......
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 ......
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......