mathematics

Klavdija Kutnar

Klavdija Kutnar is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Klavdija Kutnar rather than just read about it. In short: Klavdija Kutnar (born December 23, 1980) is a Slovene mathematician. She received her PhD at the University of Primorska (UP) in 2008, and she currently serves as the Rector of the university.

Key takeaways

Klavdija Kutnar belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Klavdija Kutnar to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Klavdija Kutnar from memory before moving on to harder problems.

Reference excerpt

Klavdija Kutnar (born December 23, 1980) is a Slovene mathematician. She received her PhD at the University of Primorska (UP) in 2008, and she currently serves as the Rector of the university.

Biography Klavdija Kutnar was born 23 December 1980, in Ljubljana, Slovenia. She graduated from the Faculty of Education of the University of Ljubljana in 2003, and in 2008 received her PhD in mathematics at the University of Primorska under the supervision of Dragan Marušič. From 2010 to 2012 she was head of the Department of Mathematics at the University of Primorska Institute Andrej Marušič (UP IAM). In 2012, she was elected dean of the University of Primorska Faculty of Mathematics, Natural Sciences and Information Technology (UP FAMNIT) and since 2015 has concurrently been assistant director of UP IAM. In 2018 she was granted the titles of Research Counsellor and Full Professor in Mathematics at the University of Primorska. In 2019 she was elected the fourth rector of the University of Primorska.

Research Kutnar's main research area is algebraic graph theory. At the beginning of her research career, she also worked in mathematical chemistry. She is noted for her contribution to the study of the structural properties of particular families of symmetric graphs and in particular, her role in developing the original method of embedding graphs on surfaces to solve special cases of the well-known Lovász conjecture: the problem of finding Hamiltonian paths and cycles in vertex-transitive and Cayley graphs. She is a member of the research program P1-0285, financed by the Slovenian Research and Innovation Agency (ARIS) and led by Dragan Marušič. In 2018, she was the first Slovenian female mathematician to obtain a basic research project financed by the ARIS (J1-9110).

Selected publications H. H. Glover, K. Kutnar, A. Malnič and D. Marušič, Hamilton cycles in (2, odd, 3)-Cayley graphs, Proc. London Math. Soc., 104 (Issue 6) (2012), 1171–1197, doi:10.1112/plms/pdr042. K. Kutnar and D. Marušič, Hamilton paths and cycles in vertex-transitive graphs - current directions, Discrete Math. 309 (Issue 17) (2009), 5491–5500, doi:10.1016/j.disc.2009.02.017. K. Kutnar and D. Marušič, A complete classification of cubic symmetric graphs of girth 6, J. Combin. Theory Ser B 99 (Issue 1) (2009), 162–184, doi: 10.1016/j.jctb.2008.06.001. K. Kutnar and D. Marušič, Odd extensions of transitive groups via symmetric graphs – the cubic case, J. Combin. Theory, Ser. B 136 (2019) 170–192, doi.org/10.1016/j.jctb.2018.10.003.

Selected conference talks K. Kutnar, Plenary talk at the G2 conference 2016, Novosibirsk, Russia On colour-preserving automorphisms of Cayley graphs

Professional work Kutnar has been a member of the editorial board of the journal Ars Mathematica Contemporanea since 2016, serving as editor-in-chief from 2018. She is also a member of the editorial boards of the Bulletin of the Institute of Combinatorics and its Applications and Algebraic Combinatorics, and managing editor of the scientific journal ADAM – The Art of Discrete and Applied Mathematics. She was a Deputy Chair of the Organizing Committee of the 8th European Congress of Mathematics in 2021, and a member of International Advisory Committee for the International Congress of Mathematicians 2022, originally scheduled to take place in St. Petersburg, Russia. She is a founding member and the secretary of the Slovenian Discrete and Applied Mathematics Society. Since 2017, she has been a member of the Council of the InnoRenew CoE (Center of Excellence for research and innovation in the field of renewable materials and a healthy living environment), and the leader of the investment project “Renewable Materials and Healthy Environments Research and Innovation Center of Excellence – InnoRenew CoE” at UP FAMNIT. In 2017, Kutnar was appointed by the Minister to the Working Group to support the Peer-Counseling Project on the financing of higher education in Slovenia. She is also a member of the Council of the Republic of Slovenia for prizes and awards for outstanding achievements in science, research and development. In 2019, she became the President of the Council of the Republic of Slovenia for Higher Education.

Personal life Klavdija Kutnar has a twin sister, Andreja Kutnar, who received the 2018 Zois Award for important scientific achievements in the field of wood science, and is the director of the InnoRenew CoE.

External links 8th European Congress of Mathematics website Slovenian Discrete and Applied Mathematics Society website Fulbright scholar website

References

Illustrations

Worked examples

Example 1 — a first encounter with Klavdija Kutnar

Start with the simplest possible case. Write down what Klavdija Kutnar claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Klavdija Kutnar before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Klavdija Kutnar ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Klavdija Kutnar

In research: Klavdija Kutnar appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Klavdija Kutnar in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Klavdija Kutnar is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1980 births, 21st-century Slovenian mathematicians, 21st-century women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Klavdija Kutnar outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Klavdija Kutnar in 20 minutes

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Close the page and write down what Klavdija Kutnar means in your own words.
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Frequently asked questions

What is Klavdija Kutnar in simple terms?

Klavdija Kutnar (born December 23, 1980) is a Slovene mathematician. She received her PhD at the University of Primorska (UP) in 2008, and she currently serves as the Rector of the university.

Why does Klavdija Kutnar matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Klavdija Kutnar?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Klavdija Kutnar.