منابع مشابه
Some New Methods in the Theory of m-Quasi-Invariants
We introduce here a new approach to the study of m-quasi-invariants. This approach consists in representing m-quasi-invariants as N tuples of invariants. Then conditions are sought which characterize such N tuples. We study here the case of S3 m-quasi-invariants. This leads to an interesting free module of triplets of polynomials in the elementary symmetric functions e1, e2, e3 which explains c...
متن کاملSome new results on distance-based graph invariants
We study distance-based graph invariants, such as the Wiener index, the Szeged index, and variants of these two. Relations between the various indices for trees are provided as well as formulas for line graphs and product graphs. This allows us, for instance, to establish formulas for the edge Wiener index of Hamming graphs, C4nanotubes and C4-nanotori. We also determine minimum and maximum of ...
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We show that two lattices are categorically equivalent if and only if they are isomorphic or dually isomorphic. Two normal bands are categorically equivalent if and only if they are isomorphic or antiisomorphic. The same result holds for finite bands as well. We also obtain corollaries for rectangular bands and semilattices.
متن کاملSome Invariants of Circulant Graphs
Mobeen Munir 1, Waqas Nazeer 1, Zakia Shahzadi 1 and Shin Min Kang 2,3,* 1 Division of Science and Technology, University of Education, Lahore 54000, Pakistan; [email protected] (M.M.); [email protected] (W.N.); [email protected] (Z.S.) 2 Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Korea 3 Center for General Educati...
متن کاملSome Invariants of Pretzel Links
Abstract. We show that nontrivial classical pretzel knots L(p, q, r) are hyperbolic with eight exceptions which are torus knots. We find Conway polynomials of npretzel links using a new computation tree. As applications, we compute the genera of n-pretzel links using these polynomials and find the basket number of pretzel links by showing that the genus and the canonical genus of a pretzel link...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2019
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-019-0493-8