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Mathematical modelling and discrete mathematics: opportunities for modern mathematics teaching. [PDF]

open access: yesZDM, 2022
Discrete mathematics and mathematical modelling, along with the educational discourse surrounding these, have many connections. However, ways that the educational discourse on discrete mathematics can benefit from the inclusion of examples of ...
Greefrath G   +3 more
europepmc   +4 more sources

Discrete mathematics

open access: yes, 2020
The textbook is written on the basis of a course of lectures on discrete mathematics given to students of the faculty of computational mathematics and Cybernetics of the Lomonosov Moscow state University.
V. Alekseev
semanticscholar   +8 more sources

Discrete Mathematics

open access: yes, 2022
In this volume, the authors present a self-contained introduction to discrete mathematics – the science of finite and countably infinite structures. In addition to taking a theoretical approach, they also include many practical exercises. The text covers
Cecilia Boschini   +2 more
semanticscholar   +4 more sources

Teaching and learning discrete mathematics

open access: yesZDM - International Journal on Mathematics Education, 2022
In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work.
J. Sandefur   +3 more
semanticscholar   +3 more sources

$L^p$-$L^q$ Boundedness of Spectral Multipliers of the Anharmonic Oscillator

open access: yesComptes Rendus. Mathématique, 2022
In this note we study the $L^p-L^q$ boundedness of Fourier multipliers of anharmonic oscillators, and as a consequence also of spectral multipliers, for the range ...
Chatzakou, Marianna, Kumar, Vishvesh
doaj   +1 more source

On minimum intersections of certain secondary dominating sets in graphs [PDF]

open access: yesOpuscula Mathematica, 2023
In this paper we consider secondary dominating sets, also named as \((1,k)\)-dominating sets, introduced by Hedetniemi et al. in 2008. In particular, we study intersections of the \((1,1)\)-dominating sets and proper \((1,2)\)-dominating sets.
Anna Kosiorowska   +2 more
doaj   +1 more source

Local irregularity conjecture for 2-multigraphs versus cacti [PDF]

open access: yesOpuscula Mathematica, 2023
A multigraph is locally irregular if the degrees of the end-vertices of every multiedge are distinct. The locally irregular coloring is an edge coloring of a multigraph \(G\) such that every color induces a locally irregular submultigraph of \(G\).
Igor Grzelec, Mariusz Woźniak
doaj   +1 more source

Real world applications of discrete mathematics

open access: yesMalaya Journal of Matematik, 2021
Discrete mathematics is an important branch of applied mathematics and graph theory is an important part of discrete mathematics. It have lot of applications in modern society.
Sk Amanathulla, B. Bera, M. Pal
semanticscholar   +1 more source

Time-stage driven pathfinding framework for optimized medical treatments

open access: yesCogent Engineering, 2023
Coming up with the correct patient-specific treatment procedure is a non-trivial task. One of the main challenges is that the problem is combinatorial, and each treatment can be followed by numerous treatments.
Karen Gishyan   +2 more
doaj   +1 more source

Decomposing 10-Regular Graphs into Paths of Length 5

open access: yesDiscussiones Mathematicae Graph Theory, 2022
Let G be a 10-regular graph which does not contain any 4-cycles. In this paper, we prove that G can be decomposed into paths of length 5, such that every vertex is a terminal of exactly two paths.
Xie Mengmeng, Zhou Chuixiang
doaj   +1 more source

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