Miroslava Mihajlov Carević

Ukrainian Mathematical Journal

Dominating Numbers on an Octagonal Chain and an Octagonal Grid

Miroslava Mihajlov Carević

https://doi.org/10.1007/s11253-025-02432-0

Domination of graphs and topological indices are essential topics in graph theory. We analyze the problem of k-domination, k ∈ {1, 2, 3}, on octagonal chains and an octagonal grid. We determine the minimal k-dominating sets and k-domination numbers for a chain of octagons with two common vertices. Using the obtained results, we determine the k-domination numbers for the grid of octagons O_m×n, where m, n ∈ N.

dominating set; domination number; chain of octagons; octagonal grid; coverage index

Rad u istaknutom međunarodnom časopisu (M22)

SMEPP 2025 — Zbornik radova

Pametni gradovi kao tendencija savremenog života

Miroslava Mihajlov Carević

https://doi.org/10.5281/zenodo.15790313

Pametni gradovi predstavljaju inovativan pristup urbanističkom planiranju i ukupnoj infrastrukturi, sa ciljem poboljšanja kvaliteta života građana, povećanja efikasnosti lokalnih usluga i smanjenja energetskih, komunalnih i drugih troškova. Koncept pametnog grada obuhvata širok spektar inicijativa — od efikasne rasvete, gradskog saobraćaja i komunalnih usluga, do zdravstvenih usluga, obrazovanja, kulture i interaktivne gradske uprave. Inicijative u realizaciji ovog koncepta podržane su savremenim tehnologijama zasnovanim na internetu, pametnim senzorima, veštačkoj inteligenciji (AI), bežičnim mrežama i aplikacijama. Svi učesnici u sistemu pametnog grada — građani, lokalna samouprava, zdravstvene ustanove, naučne i kulturne institucije itd. — povezani su sa gradskim resursima putem informaciono-komunikacionih tehnologija (ICT), koje imaju ključnu ulogu u realizaciji pametnog grada. U ovom radu prikazujemo rezultate desk-istraživanja o pametnim gradovima, njihovom značaju, ulozi, održivosti, prednostima i nedostacima.

pametni gradovi; pametne inovacije; životna sredina

Saopštenje sa međunarodnog skupa štampano u celini (M33)

International Journal of the Latest Research in Engineering and Technology (IJLRET)

Digital Tools and Personalization in the Learning Process

Miroslava Mihajlov Carević

www.ijlret.com • Volume 11 • Issue 10 • October 2025 • pp. 01–04

Modern technologies involved in the education process have led to significant changes in the approach to teaching and learning. The development of information and communication technologies has enabled the emergence of various digital tools that can contribute to easier and more efficient transfer and acquisition of knowledge. Purposeful integration of digital tools into the teaching and learning process is a current issue in the education system. Students have different levels of prior knowledge and motivation, which gives digital tools the opportunity to contribute to the quality of education when used appropriately. In this paper, we analyze the use of personalized tools in the teaching and learning process.

digital tools; personalization; teaching; learning

Rad u naučnom časopisu (M53)

Vojnotehnički glasnik / Military Technical Courier

Dominance Number on Cyclooctane Chains

Miroslava Mihajlov Carević

https://doi.org/10.5937/vojtehg72-48272

Chemical structures are conveniently represented by graphs where atoms are nodes (vertices) and chemical bonds are edges (lines) in the graph. A graphical representation of a molecule provides useful information about its chemical properties. It is known that numerous physical and chemical properties of molecules are highly correlated with theoretical graph invariants, called topological indices. One such invariant is the dominance number. The aim of this research is to determine the k-dominance number for cyclooctane chains COC_n1, COC_n2, COC_n3 and COC_n4, for k ∈ {1, 2, 3}, n ∈ N.

cyclooctane; cyclooctane chain; dominance number

Rad u časopisu međunarodnog značaja verifikovanog posebnom odlukom (M24)

International Thematic Proceedings STEAM-X24

STEAM Education as Practice-Driven Innovation

Miroslava Mihajlov Carević; Miloš Todorov

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Real-world problems necessitate intricate solutions that encompass the combination of science, technology, engineering, arts, and mathematics. Consequently, educational paradigms have shifted toward the adoption of the STEAM approach. STEAM combines the disciplines of science, technology, engineering, art/architecture, and mathematics, integrating them into a cohesive framework that offers a fresh method for addressing challenges within the educational system. The implementation of STEAM practices has garnered significant attention, particularly in higher education, and includes equipping students with interdisciplinary skills necessary for the job market. Across the world, STEAM education has become widely used. It is imperative to research and enhance the implementation of STEAM in both classroom settings and teacher education. This paper showcases instances of interdisciplinary instruction implemented at Alfa BK University in Belgrade. The first example illustrates directing students toward integrating mathematics, engineering, and the arts to achieve harmony and beauty in architecture and art. The second example demonstrates the use of data from the Statistical Office of the Republic of Serbia through mathematical techniques, computer programming, and visual representation.

STEAM; interdisciplinary access; higher education; statistics

Saopštenje sa međunarodnog skupa štampano u celini (M33)

Proceedings of International Scientific and Professional Conference “ALFATECH” — Smart Cities and Modern Technologies

Modern Technologies and Their Application in “Smart Houses”

Miroslava Mihajlov Carević; Milica Varšandan; Čaba Varšandan

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The rapid development of information and communication technologies in the 21st century and their wide spread increasingly affect people's daily lives. We are living in an era of application of artificial intelligence in most aspects of human life. Smartphones have long been indispensable companions that help in carrying out numerous activities. Smart systems have become an imperative of modern life. Surveillance cameras, door-opening sensors, and smart home appliances are only part of the smart systems increasingly entering households. In an effort to gain insight into citizens’ interest in using smart devices in their homes, we conducted a survey on a group of citizens. Using the questionnaire and the provided answers, we identified needs and interests regarding improving living comfort with smart devices. The received answers were statistically processed. Based on the calculated statistical indicators, we analyzed the obtained data and drew conclusions about the number of smart devices used in households, citizens’ interest in their use, and the reasons why they have not used them so far.

modern technologies; smart devices; smart house

Saopštenje sa međunarodnog skupa štampano u celini (M33)

Vojnotehnički glasnik

Domination on Cactus Chains of Pentagons

Miroslava Mihajlov Carević

https://doi.org/10.5937/vojtehg70-36576

A graph, as a mathematical object, occupies a special place in science. Graph theory is increasingly used in many spheres of business and scientific fields. This paper analyzes pentagonal cactus chains, a special type of graphs composed of pentagonal cycles in which two adjacent cycles have only one node in common. The aim of the research is to determine the dominating set and the domination number on ortho and meta pentagonal cactus chains.

graph; pentagonal cactus-chain; dominating set; domination number

Rad u vodećem časopisu nacionalnog značaja (M51)