Results 11 to 20 of about 54 (54)
Integral geometry on discrete matrices
Moroccan Journal of Pure and Applied Analysis, 2021 In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear Diophantine equations. We then give an inversion formula and a support theorem.
Attioui Abdelbaki
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Factorization theorems for strong maps between matroids of arbitrary cardinality
Open Mathematics, 2016 In this paper we present factorization theorems for strong maps between matroids of arbitrary cardinality. Moreover, we present a new way to prove the factorization theorem for strong maps between finite matroids.
Mao Hua
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International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 401-410, 1999., 1999 We show that for ⌊d/2⌋ ≤ k ≤ d, the relative interior of every k‐face of a d‐simplex Δd can be intersected by a 2(d − k)‐dimensional affine flat. Bezdek, Bisztriczky, and Connelly′s results [2] show that the condition k ≥ ⌊d/2⌋ above cannot be dropped and hence raise the question of determining, for all 0 ≤ k, j < d, an upper bound on the function c(j,
Nagabhushana Prabhu
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Graphic and Cographic Г-Extensions of Binary Matroids
Discussiones Mathematicae Graph Theory, 2018 Slater introduced the point-addition operation on graphs to characterize 4-connected graphs. The Г-extension operation on binary matroids is a generalization of the point-addition operation. In general, under the Г-extension operation the properties like
Borse Y.M., Mundhe Ganesh
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The Arithmetic Tutte polynomial of two matrices associated to Trees
Special Matrices, 2018 Arithmetic matroids arising from a list A of integral vectors in Zn are of recent interest and the arithmetic Tutte polynomial MA(x, y) of A is a fundamental invariant with deep connections to several areas. In this work, we consider two lists of vectors
Bapat R. B. +1 more
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A greedy algorithm for interval greedoids
Open Mathematics, 2018 We show that the greedy algorithm provided in this paper works for interval greedoids with positive weights under some conditions, and also characterize an exchangeable system to be an interval greedoid with the assistance of the greedy algorithm.
Mao Hua
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Power graphs and exchange property for resolving sets
Open Mathematics, 2019 Classical applications of resolving sets and metric dimension can be observed in robot navigation, networking and pharmacy. In the present article, a formula for computing the metric dimension of a simple graph wihtout singleton twins is given.
Abbas Ghulam +4 more
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Minor-closed classes of binary functions [PDF]
Discrete Mathematics & Theoretical Computer ScienceBinary functions are a generalisation of the cocircuit spaces of binary matroids to arbitrary functions. Every rank function is assigned a binary function, and the deletion and contraction operations of binary functions generalise matroid deletion and ...
Benjamin R. Jones
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Tutte polynomials of matroids as universal valuative invariants [PDF]
We provide a full classification of all families of matroids that are closed under duality and minors, and for which the Tutte polynomial is a universal valuative invariant.
Schröter, Benjamin, Ferroni, Luis
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Upho lattices I: examples and non-examples of cores [PDF]
A poset is called upper homogeneous, or "upho," if every principal order filter of the poset is isomorphic to the whole poset. We study (finite type \(\mathbb{N}\)-graded) upho lattices, with an eye towards their classification.
Hopkins, Sam
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