Results 31 to 40 of about 1,691,025 (355)
Chain polynomials and Tutte polynomials [PDF]
Discrete Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Relations between M\"obius and coboundary polynomial [PDF]
, 2012 It is known that, in general, the coboundary polynomial and the M\"obius polynomial of a matroid do not determine each other. Less is known about more specific cases.
A. Faldum +15 more
core +3 more sources
Mathematics, 2019 In this paper, new refinements and improvements of Jordan’s and Kober’s inequalities are presented. We give new polynomial bounds for the s i n c ( x ) and cos ( x ) functions based on the interpolation and approximation ...
Lina Zhang, Xuesi Ma
doaj +1 more source
Proposal New S-box for AES Algorithm Depend on A.I Bee Colony [PDF]
Engineering and Technology Journal, 2015 The AES algorithm, also called the Rijndael algorithm, is a symmetric block cipher, where the data are encrypted/ decrypted in blocks of 128 bits. Each data block is modified by several rounds of processing, where each round involves four steps.
Alaa Kadhim, Sura Khalaf
doaj +1 more source
Sharp inequalities of various metrics on the classes of functions with given comparison function
Researches in Mathematics, 2021 For any $q > p > 0$, $\omega > 0,$ $d \ge 2 \omega,$ we obtain the following sharp inequality of various metrics $$ \|x\|_{L_q(I_{d})} \le \frac{\|\varphi + c\|_{L_q(I_{2\omega})}}{\|\varphi + c \|_{L_p(I_{2\omega})}} \|x\|_{L_p(I_{d})} $$ on the ...
T.V. Alexandrova, V.A. Kofanov
doaj +1 more source
Tutte Polynomials and Link Polynomials [PDF]
Proceedings of the American Mathematical Society, 1988 We show how the Tutte polynomial of a plane graph can be evaluated as the "homfly" polynomial of an associated oriented link. Then we discuss some consequences for the partition function of the Potts model, the Four Color Problem and the time complexity of the computation of the homfly polynomial.
openaire +1 more source
The taut polynomial and the Alexander polynomial
Journal of Topology, 2023 AbstractLandry, Minsky and Taylor defined the taut polynomial of a veering triangulation. Its specialisations generalise the Teichmüller polynomial of a fibred face of the Thurston norm ball. We prove that the taut polynomial of a veering triangulation is equal to a certain twisted Alexander polynomial of the underlying manifold.
openaire +2 more sources
Polynomials biorthogonal to Appell's polynomials [PDF]
Bulletin of the Australian Mathematical Society, 1974 We present the solution of a long-standing problem, namely, the determination of a set of polynomials in two independent variables which are biorthogonal over a triangular region to a set of polynomials previously introduced by Appell. Some elementary properties of our polynomials are investigated.
R.A. Littler, Edward D. Fackerell
openaire +2 more sources
Polynomial reconstruction of the matching polynomial
Electronic Journal of Graph Theory and Applications, 2015 The matching polynomial of a graph is the generating function of the numbers of its matchings with respect to their cardinality. A graph polynomial is polynomial reconstructible, if its value for a graph can be determined from its values for the vertex-deleted subgraphs of the same graph.
Yongtang Shi, Xueliang Li, Martin Trinks
openaire +5 more sources
Bounds for the sums of zeros of solutions of $u^{(m)}=P(z)u$ where $P$ is a polynomial
Electronic Journal of Qualitative Theory of Differential Equations, 2011 The main purpose of this paper is to consider the differential equation $u^{(m)}=P(z)u$ $(m\geq 2)$ where $P$ is a polynomial with in general complex coefficients. Let $z_{k}(u),$ $k=1,2,\ldots$ be the zeros of a nonzero solution $u$ to that equation. We
Ting-Bin Cao, Kai Liu, Hong-Yan Xu
doaj +1 more source