Journal•ISSN: 1607-3606
Quaestiones Mathematicae
Taylor & Francis
About: Quaestiones Mathematicae is an academic journal published by Taylor & Francis. The journal publishes majorly in the area(s): Mathematics & Banach space. It has an ISSN identifier of 1607-3606. Over the lifetime, 2058 publications have been published receiving 11858 citations. The journal is also known as: QM (Grahamstown. Online) & QM (Print).
Papers published on a yearly basis
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TL;DR: A graph G is well-covered if every maximal independent set of points in G is also maximum as discussed by the authors, which is equivalent to the property that the greedy algorithm for constructing a maximal independent subset always results in a maximum independent set.
Abstract: A graph G is well-covered (or w-c) if every maximal independent set of points in G is also maximum. Clearly, this is equivalent to the property that the greedy algorithm for constructing a maximal independent set always results in a maximum independent set. Although the problem of independence number is well-known to be NP-complete, it is trivially polynomial for well-covered graphs. The concept of well-coveredness was introduced by the author in [P1] and was first discussed therein with respect to its relationship to a number of other properties involving the independence number. Since then, a number of results about well-covered graphs have been obtained. It is our purpose in this paper to survey these results for the first time. As the reader will see, many of the results we will discuss are quite recent and have not as yet appeared in print.
152 citations
TL;DR: In this article, the authors used the homotopy analysis method (HAM) to obtain approximate solution of fractional integro-differential equations (FIDEs), and the convergence of HAM is considered for this kind of equations.
Abstract: In this paper, we have used the homotopy analysis method (HAM) to obtain approximate solution of fractional integro-differential equations (FIDEs). Convergence of HAM is considered for this kind of equations. Also some examples are given to illustrate the high efficiency and precision of HAM. Keywords: Fractional integro-differential equation, homotopy analysis method, convergence control parameter Quaestiones Mathematicae 36(2013), 93–105
144 citations
TL;DR: In this article, a cartesian closed category of stratified L-topological spaces with non-idempotent stratified fuzzy interior operator is defined and a first characterization of fuzzy convergences stem from stratified l-topologies is established.
Abstract: In this paper we take convergence of stratified L-filters as primitive notion and construct in this way a cartesian closed category, which contains the category of stratified L-topological spaces as reflective subcategory. The class of spaces with non-idempotent stratified fuzzy interior operator is characterized as subclass of the class of our stratified L-fuzzy convergence spaces and a first characterization, which fuzzy convergences stem from stratified L-topologies is established.
137 citations
101 citations
TL;DR: In this paper, a new set of orthogonal polynomials is found that are solutions to a 6-order formally self adjoint differential equation, which is a generalization of the Legendre and Legendre type polynomial.
Abstract: A new set of orthogonal polynomials is found that are solutions to a sixth order formally self adjoint differential equation. These polynomials are shown to generalize the Legendre and Legendre type polynomials. We also show that these polynomials satisfy many properties shared by the classical orthogonal polynomials of Jacobi, Laguerre and Hermite.
98 citations